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Response_TO_DISC._W1.docx
· Begin your discussion by reporting your results for each of the values listed above.
My data points were 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, and 20.
Mean: 10.5
Standard error: 1.32287566
Median: 10.5
Mode: no mode
Standard deviation: 5.91607978
Sample variance: 35
Kurtosis: 1.70428571
Skewness: 0
Range: 19
Minimum: 1
Maximum: 20
Sum: 210
Count: 20
· Based on this output, which single value best describes this set of data and why?
Based on this output, I would say that the single value that best describes this set of data would be the mean because it tells us the average of the data points.
· If you could pick three of these values instead of only one, which three would you choose and why?
If I could pick three values, I would say the mean, standard deviation, and sample variance would best describe the set of data. The mean because it tells us the average, sample deviation because it tells us how close to the average or spread out the numbers actually are, and sample variance because it helps to estimate unbiasedly.
ANSWER THE QUESTIONS AND MAKE COMMENTS AS FOLLOWING THE REQUIREMENTS ABOVE.
2) Brenda Kyle
Brenda Kyle
PSY 325 Statistics for the Behavioral & Social Sciences
Instructor: Nikola Lucas
Week 1-Discussion
June 4, 2019
At first, I had chosen number 1 through 20 but then seen another classmate had the same thing so had to change it. The chosen numbers are 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200. I really could not think of any random interesting number, so I did it like this.
Answer: Descriptive Statistics:
Minimum: 10
Maximum: 200
Range: 190
Count: 20
Sum: 2100
Mean: 105
Median: 105
Mode: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200
Standard Deviation: 59.1607978
Variance: 3500
Mid Range: 105
Quartiles:
Q1 --> 55
Q2 --> 105
Q3 --> 155
Interquartile Range (IQR): 100
Sum of Squares: 66500
Mean Absolute Deviation: 50
Root Mean Square (RMS): 119.791486
Std Error of Mean: 13.2287566
Skewness: 0
Kurtosis: 1.70428571
Coefficient of Variation: 0.56343617
Relative Standard Deviation: 56.343617%
Frequency Table
Value Frequency Frequency %
10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200 was all the same answer of 1 and 5.00
Begin your discussion by reporting your results for each of the values listed above.
To get my figures I use the Descriptive Statistics Calculator by Calculator soup online. I put in my number and it gave a very detailed answer. It all seems to be right information according to the information entered.
Based on this output, which single value best describes this set of data and why?
Graphic measurements are the numbers used to portray the primary highlights of a gathering of information. Such numbers incorporate things like the general example estimate, changeability or scattering arrangement of information plus along with other progressively entangled measures that still simply portray the informational collection. So it is based on the correct numbers entered.
If you could pick three of these values instead of only one, which three would you choose and why?
The 3 values that I would choose is mode, means and median. The median and means were same thing, I think. The mode is how many numbers. An signify were abnormal that you are utilized for, that include every one of sums plus after the separation from an quantity number. An middle number was center within an rundown onto an figures. On the off chance that no number in the rundown was rehashed, at that point any rundown.
Many numerous approaches on the depict information, about solely verbal portrayals were on ethnographer plus along with anthropology (Tanner, 2016) now and again. In any case, calculable analysis along with an measurable investigation whereupon on an depictions. Computative amounts of contrast within; an approach towards the characterize terms on the scales. Information scales alludes within an sort also, measure on an data from each measuring gives, plus the information were classified with 4 groups: nominal, ordinal, interval plus with proportion (Tanner, 2016).
References
Tanner, D. (2016). Statistics for the Behavioral & Social Sciences (2nd ed.). San Diego, CA:
Bridgepoint Education, Inc.
3) Rickey Gray
TuesdayJun 4 at 8:28pm
Hello fellow classmates,
I hope I hit the mark with this one. The numbers I chose did not have much significance other than when I needed to count screws for a desk I put to together. Have a great week. Minimum: 2 Maximum: 42 Range: 40 Count: 20 Sum: 426 Mean: 21.3 Median: 21 Mode: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 38, 40, 42 Standard Deviation: 12.2993367 Variance: 151.273684 Mid Range: 22 Quartiles: Quartiles: Q1 --> 11 Q2 --> 21 Q3 --> 31 Interquartile Range (IQR): 20 Sum of Squares: 2874.2 Mean Absolute Deviation: 10.3 Root Mean Square (RMS): 24.4417675 Std Error of Mean: 2.7502153 Skewness: 0.0933128621 Kurtosis: 1.77791552 Coefficient of Variation: 0.57743365 Relative Standard Deviation: 57.743365%
Frequency Table Value Frequency Frequency % 2 1 5.00 4 1 5.00 6 1 5.00 8 1 5.00 10 1 5.00 12 1 5.00 14 1 5.00 16 1 5.00 18 1 5.00 20 1 5.00 22 1 5.00 24 1 5.00 26 1 5.00 28 1 5.00 30 1 5.00 32 1 5.00 34 1 5.00 38 1 5.00 40 1 5.00 42 1 5.00
• Based on this output, which single value best describes this set of data and why? The statistical mean gives important information about the data set at hand as well as a single number which can give meaning about the data at hand. • If you could pick three of these values instead of only one, which three would you choose and why? I would choose the mean, median and range. Why you ask? First the mean of the data allows you to see the average of the data set. The median measures of where the half of data, I feel this gives a balance to the research data preventing lopsidedness. Lastly I chose the range because you can develop a sense of the difference from the maximum and minimum values.
References Tanner, D. (2016). Statistics for the Behavioral & Social Sciences (2nd ed.). San Diego, CA: Bridgepoint Education, Inc.
4) Leatha McClure
· Begin your discussion by reporting your results for each of the values listed above.
· Based on this output, which single value best describes this set of data and why?
· If you could pick three of these values instead of only one, which three would you choose and why?
Data set: 76 80 78 76 94 75 98 77 84 88 81 72 91 72 74 86 79 88 72 75
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Column1 |
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Mean |
80.8 |
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Standard Error |
1.726877 |
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Median |
78.5 |
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Mode |
72 |
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Standard Deviation |
7.72283 |
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Sample Variance |
59.64211 |
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Kurtosis |
-0.31733 |
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Skewness |
0.801903 |
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Range |
26 |
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Minimum |
72 |
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Maximum |
98 |
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Sum |
1616 |
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Count |
20 |
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The set of data entered is 20 test scores. The value that would best describe the data set would be the mean. Since this is a set of test scores the mean would give the teacher the average of the scores and allow her to see how well the students did on the test overall.
The three values that I would choose to represent this data set would be Mean, Median, and Standard Deviation.
The Mean allows the teacher to see the average of the scores.
The Median would allow the teacher to see what score was in the middle of the data set.
The Standard Deviation would show how much the scores deviate from the mean or average score.
Leatha
5)Yolanda Bias
The numbers I chose are: 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 Mean: 34.5 Standard error: 1.32287566 Median- 34.5 Mode- 25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44 Standard deviation- 5.91607978 Sample variance- 35 Kurtosis- 1.70428571 Skewness – 0 Range – 19 Minimum – 25 Maximum- 44 Sum – 690 Count – 20 Based on this output, which single value best describes this set of data and why? Based on this output I would say that the median best describes this set of data. My reason is because the median is that point on the scale where an equal number of scores have greater values and lesser values. If you could pick three of these values instead of only one, which three would you choose and why? My choices would be: the median because it is the middlemost score. The mean because it is the average of the set of values; and the range because it is the difference between the highest and lowest measures.
References: Tanner, D. (2016). Statistics for the Behavioral and Social Sciences (2nd ed.) San Diego, CA: Bridgepoint Education, Inc.
Yolanda Bias
6)Christa Girard
Hello Class!
Begin your discussion by reporting your results for each of the values listed above
My data points: 15, 37,5 4, 29, 35, 37, 42, 8, 26, 41, 23, 55, 41, 32, 19, 12 ,5 ,38, 6, 20
Minimum:
5
Maximum:
55
Range:
50
Count:
20
Sum:
575
Mean:
28.75
Median:
30.5
Mode:
37, 41
Standard Deviation:
14.9872753
Variance:
224.618421
Mid Range:
30
Quartiles: Q1 --> 17 Q2 --> 30.5 Q3 --> 39.5
Interquartile Range (IQR):
22.5
Sum of Squares:
4267.75
Mean Absolute Deviation:
12.475
Root Mean Square (RMS):
32.2482558
Std Error of Mean:
3.35125664
Skewness:
-0.0129745118
Kurtosis:
1.95835254
Coefficient of Variation:
0.521296532
Relative Standard Deviation:
52.1296532%
To get my results I used to Descriptive Statistics Calculator by Calculator Soup with the link that had been given to us in the week one overview. Once I put in my values, this calculator gave me each answer that I was looking for
Based on this output, which single value best describes this set of data and why? The single value that best describes this data set is the mean as it is the average of all 20 of my values.
If you could pick three of these values instead of only one, which three would you choose and why?
I would chose the mean, range and median. I would chose the mean as stated in the previous question because it is the average of the data values used. I would chose the range because then we know that the all the data values would be will be in between that point because that is what is in between the minimum and maximum values. Lastly I would chose the median because this is where the halfway point of the values would take place.
References: Tanner, D. (2016). Statistics for the Behavioral and Social Sciences (2nd ed.) San Diego, CA: Bridgepoint Education, Inc.
7)Shanara Clay
Mean: 21
Standard error: 2.64575131
Median: 21
Mode: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40
Standard deviation: 11.8321596
Sample variance:140
Kurtosis: 1.70428571
Skewness: 0
Range: 38
Minimum: 2
Maximum: 40
Sum: 420
Count: 2
Based on this output, which single value best describes this set of data and why?
I would say the range would best describe this set of data. The range includes both the minimum and maximum numbers included in the set of data. The maximum number 40 minus the minimum number 2 Ex. (40 – 2 = 38) also gives me the range and an idea of the amount of numbers included between the min and max. I calculated the total numbers in between the min and max by dividing the max number 40 into the min number 2 Ex. (40/2 = 20). This confirmed there were a total of 20 columns in Excel which matched the total number of values entered in the set of data.
If you could pick three of these values instead of only one, which three would you choose and why?
In addition to the range which gives details on the minimum and maximum numbers in the data set, I would also pick the mean since it gives me the average of all of the numbers included. The mean in combination with the range also will help me make a determination if the statements made from data reported is a correct representation of everything collected. Lastly, I would pick the median because it divides the largest set of numbers from the smallest in the set to reveal the center value of the data set. This would be helpful in comparing data and getting more than the average since the median will only produce one answer from data that has an outlier.
Reference
Calculator Soup. (2013). Descriptive statistics calculator (Links to an external site.)Links to an external site.. Retrieved from: http://www.calculatorsoup.com/calculators/statistics/descriptivestatistics.ph
8)Korrean Wright
Data Points: 1, 2, 4, 5, 7, 8, 9, 12, 17, 19, 26, 27, 29, 33, 44,47, 52, 64, 66, 74
Mean: 27.3
Standard Error: 5.1137636773
Median: 22.5
Mode: None
Standard Deviation: 22.8694464067
Sample Variance: 523.0115789474
Kurtosis: -0.719818
Skewness: 0.70923
Range: 73
Minimum: 1
Maximum: 74
Sum: 546
Count: 20
Based on this output the sum is the single value that best describes this set of data because it is the total of all the data values (Calculator Soup, 2013).
If I could pick three values instead of only one I would choose the mode, the median, and the mean because they are commonly used in data description, they indicate what is most typical in a data set, and they complement each other (Tanner, 2016).
Reference
Calculator Soup. (2013). Descriptive statistics calculator. Links to an external site.Retrieved from: http://www.calculatorsoup.com/calculators/statistics/descriptivestatistics.ph
Tanner, D. (2016). Statistics for the Behavioral & Social Sciences (2nd ed.). San Diego, CA: Bridgepoint Education, Inc.
9)Cara Allen
Descriptive Statistics:5, 10, 15, 20, 30, 40, 50, 55, 60, 65, 70, 80, 90, 95, 100, 105, 115, 125, 130, 140
Minimum:
5
Maximum:
140
Range:
135
Count:
20
Sum:
1400
Mean:
70
Median:
67.5
Mode:
5, 10, 15, 20, 30, 40, 50, 55, 60, 65, 70, 80, 90, 95, 100, 105, 115, 125, 130, 140
Standard Deviation:
41.9272553
Variance:
1757.89474
Mid Range:
72
Interquartile Range (IQR):
67.5
Sum of Squares:
33400
Mean Absolute Deviation:
35
Root Mean Square (RMS):
81.0555365
Std Error of Mean:
9.3752193
Skewness:
0.018209469
Kurtosis:
1.75248754
Coefficient of Variation:
0.59896079
Relative Standard Deviation:
59.896079% Which single one value best describes this state of data and why. I'm my best opinion would be the standard deviation since it calculates all numbers and gets your best value amount. The mean, median and mode would be the 3 I'd pick as it's the 3 basic configurations to find out the best data.
10)Angela Gardiner
Question 1
Come up with 20 different data points
Consider the following data obtained from the marks scored by physics students in a test
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Column 1 |
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Mean |
55.25 |
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Standard Error |
2.757645 |
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Median |
54 |
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Mode |
54 |
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Standard Deviation |
12.33256 |
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Sample Variance |
152.0921 |
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Kurtosis |
0.712921 |
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Skewness |
-0.39778 |
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Range |
53 |
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Minimum |
25 |
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Maximum |
78 |
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Sum |
1105 |
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Count |
20 |
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Sorted data (in ascending order) becomes
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25 |
40 |
42 |
45 |
47 |
49 |
53 |
54 |
54 |
54 |
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54 |
54 |
59 |
60 |
653 |
65 |
68 |
69 |
72 |
78 |
from the above data, the following are the descriptive values.
Question 2
Descriptive Statistics values:
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Minimum |
25 |
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Maximum |
78 |
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Range |
53 |
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Count |
20 |
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Sum |
1105 |
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Mean |
55.25 |
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Median |
54 |
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Mode |
54 |
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Standard Deviation |
12.3325628 |
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Variance |
152.092105 |
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Mid. Range |
51.5 |
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Quartiles: |
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Q1--> |
45 |
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Q2--> |
54 |
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Q3--> |
60 |
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Interquartile Range (IQR): |
15 |
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Sum of Squares: |
2889.75 |
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Mean Absolute Deviation: |
9.2 |
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Root Mean Square (RMS): |
56.5424619 |
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Std Error of Mean: |
2.75764488 |
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Skewness: |
-0.358005967 |
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Kurtosis: |
3.09798545 |
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Coefficient of Variation: |
0.223213806 |
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Relative Standard Deviation: |
22.3213806% |
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Question 3
Based on this output above, which single value best describes this set of data and why?
The best value to describe the set is the measure of central tendency, and in our case, the median best describes the set because of the means higher than most of the values.
The "best" measure should be representative of a "typical" score in this data set.
The value 78is an outlier because it is much higher than the rest of the team. Because there is a high outlier, the median is the best measure to describe the scores. Outliers and skewed data cannot distort the average — the mean of 55.25is higher than most of the values.
Question 4
If I could pick three of these values instead of only one, which three would you choose and why?
If I had to choose one of three of these values, I would select the mode, median, and the mean. It is because each indicates what is most typical in any data set, but each defines what is typical differently.
Models defined as the value that occurs most frequently in the data set (Berglund et al., 2011).
The mode is 54. The method is useful when the most common item, characteristic, or value of a data set is required. The data set is a nominal scale; the mode becomes vital to use. A single inspection in an ungrouped data and discrete frequency distribution can easily be located.
Median is the value when occupies the middle position when all the observations are arranged in an ascending/descending order. It divides the frequency distribution precisely into two halves. Fifty percent of comments in distribution have scored at or below the median. Hence median is the 50th percentile or can also be referred to as the 2ndquartile or also known as ‘positional average.’
The Median, 54, is the most commonly quoted figure used to measure property prices. If n is odd the median is the center value. However, If n is even the median is the average of the two center values. The use of the norm avoids the problem of the low property price when it's affecting by expensive properties that aren't representative of the general property market. It is because, for the data set, the median can be used to find the value that indicates what is between the maximum and the minimum amount and which is also quite close to the mean. Outliers and skewed data cannot distort the median.
Mean, and an average of a set of data values is a sum of all data divided by the number of data values. ( i.e.mean = sum / n). The mean in the data set is 55.25. Also, it is useful for predicting future results when we have extreme value in the data. Perhaps, the impact of extreme values on the mean may be important and should be considered (Collier, 1996). E.g."(The impact of a stock market crash on average investment returns)."
References
Berglund, K. Roman, E., Balldin, J. Berggren, U. Eriksson, M. Gustavsson, P., & Fahlke, C. (2011).
Do men with excessive alcohol consumption and social stability have an addictive personality? Scandinavian Journal of Psychology, 52(3), 257-260 52(3), 257-260
Collier, S. (Writer & Producer). (1996). Describing Data (Links to an external site.)Links to an external site. [Video file]. Why use statistics? Retrieved from the Films On Demand Database.
Hi Angela, How did you get the column boxes to post? I tried to get mine post like that too but can't. I like how you have it all in order. To me it looks good and you done a great job explaining everything in details and I enjoyed reading your post. Hope you have a great day!!!
