A Statistics Project

profileCallini47
descriptive_statistics.xls

Descriptive Statistics

Observation # Data 13 2.15 3
Observation 1 3.15 Measures of Central Tendency Measures of Dispersion 5 0 3.15
Observation 2 2.66 Mean 2.63 Range 2.40 11 0 2.66
Observation 3 3.95 Median 2.53 Interquartile Range 0.85 2 0 3.95
Observation 4 2.35 Mode 0.00 Standard Deviation 0.65 16 2.35 0
Observation 5 1.76 Midrange 2.79 Variance 0.43 24 1.76 0
Observation 6 1.99 Coefficient of Variation 24.82% 22 1.99 0
Observation 7 2.22 18 2.22 0
Observation 8 3.76 Other Measures Mean +/- 1 standard dev. 1.98 3.28 3 0 3.76
Observation 9 2.87 Sample Size 25 # Observations within 1 standard dev. 19 9 0 2.87
Observation 10 2.85 Minimum 1.59 10 0 2.85
Observation 11 2.55 Maximum 3.99 Mean +/- 2 standard dev. 1.32 3.93 12 0 2.55
Observation 12 2.31 First Quartile 2.15 # Observations within 2 standard dev. 23 17 2.31 0
Observation 13 1.59 Third Quartile 3.00 25 1.59 0
Observation 14 2 Mean +/- 3 standard dev. 0.67 4.58 21 2 0
Observation 15 2.43 Given percentile = 90% # Observations within 3 standard dev. 25 14 2.43 0
Observation 16 3 Value of percentile = 3.548 7 0 3
Observation 17 3.99 1 0 3.99
Observation 18 2.53 13 2.53 2.53
Observation 19 1.85 23 1.85 0
Observation 20 2.15 19 2.15 0
Observation 21 2.4 15 2.4 0
Observation 22 3.04 6 0 3.04
Observation 23 3.23 4 0 3.23
Observation 24 2.12 20 2.12 0
Observation 25 2.93 8 0 2.93
Observation 26 ©2007 DrJimMirabella.com 0 0 0
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&A
Also average. Sum of data items divided by number of data items. Best statistic to use when profiling a data set that does not have extreme values and is somewhat symmetrical.
Middle number in a data set. If there is an odd number of data items for example: 11, then the median is the 6th largest entry. If there are 12 items then the median is between the 6th and 7th largest entries. Merely the 6th and 7th entries and divide by 2. The MEDIAN is also the 50th percentile. The MEDIAN is unaffected by outliers.
The data value that occurs most often in the data set. If more than one entry occurs the same number of times then the mode loses its meaning. Best statistic to use when profiling a data set that consists of a few repeated values, such as the # of children per family.
The smallest number in the data set.
The largest number in the data set.
Difference between the maximum and the minimum.
The observation such that 25% of the data is less than its value and 75% is greater than its value. Also referred to as the "lower quartile."
The observation such that 75% of the data is less than its value and 25% is greater than its value. Also referred to as the "upper quartile."
The total number of observations in the sample.
Difference between the first and third quartiles. Also indicates the size of the "middle 50%."
Average weighted distance of all observations around the mean. It is used in conjunction with the mean to compute probabilities. As shown below, there are expected percentages of data within so many standard deviations from the mean.
The standard deviation squared. While it is a common statistic, the units for a variance are meaningless, making this statistic not preferable.
Gives a relative measure to the dispersion so you can determine if the standard deviation is truly large or small. It is computed as the standard deviation as a percentage of the mean.
This is just the average of the Minimum and Maximum values; i.e., it is the midpoint between the two extremes, but it is not necessarily reflective of where the mean or median lie.
For the kth percentile, k % of the observations fall below this value.
In a symmetrical, bell-shaped, normal distribution, it is expected that approximately 68% of the data is within one standard deviation of the mean.
In a symmetrical, bell-shaped, normal distribution, it is expected that approximately 95% of the data is within two standard deviations of the mean.
In a symmetrical, bell-shaped, normal distribution, it is expected that almost 100% of the data is within three standard deviations of the mean.
Here you can enter identifiers for each observation, such as names or ids. This column is not tabulated in the results.
Input the data values in this column. There is no need to sort the data.