Using the research question and two variables your learning team developed for Week 2
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Running head: DESCRIPTIVE STATISTICS |
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Descriptive statistics is the analysis and summarization of data in such a way that it can show some pattern. This makes us to be able to make some conclusion regarding any hypothesis we have made (Evans, 1972). In descriptive statistics there are two main types which are analyzed .They include measures of central tendency and measure of spread.
Measure of central tendency
This describes the central position of a frequency distribution of data being analyzed .some techniques which can be used for this include; calculation of mode, medium and mean.
Measure of spread
This is used to describe the distribution of data. We can use; range, quartiles, absolute deviation, variance and standard deviation (Oja, 1983).
In our previous assignment we have been looking at how the hacking of Base Thrainssons’ Company system affected customers’ loyalty and we obtained the data below.
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Response |
Customer shops through out |
Customer shops frequently |
Customer shops Occasionally |
Customer does not shop at Base Thrainsson Company due to other reasons |
Customer does not shop at all |
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Frequency |
9 |
15 |
30 |
12 |
14 |
The analysis of this data is done on an excel document
The most applicable descriptive analysis is measure of central tendency. Measure of central tendency includes mean, mode and median (Evans, 1972). As seen in the analysis done on the spreadsheet and the table above, the class with the highest frequency is composed of customers who shop at Base Thrainsson Company occasionally. It has 30 customers.
As calculated in the excel document, the mean of the data collected is 16.
Mean =
Mean =
Mean= 16
Median is the separation between the higher half of data from the lower half. It is difficult to obtain the median in our data because our classes do not contain numerals.
Our data was normally distributed and not skewed.
Standard deviation is a measure of spread of data from its mean.
Where: is standard deviation
X is total number of interviewed customers
is the mean
n is the number of classes
Numeric Variable Name1
Distribution: State if not normally distributed
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Central Tendency: mean =16, mode = 30 |
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Dispersion: standard deviation = 32, range = 21 |
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Number: 80 |
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Min/Max: Min= 9 Max= 30 |
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Confidence Interval: (if distribution is normal) 95% |
Numeric Variable Name2 (if applicable)
Distribution: State if not normally distributed
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Central Tendency: not applicable |
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Dispersion: not applicable |
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Number: not applicable |
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Min/Max: not applicable |
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Confidence Interval: (if distribution is normal) not applicable |
Descriptive Statistics Interpretation
Numeric Variable Name1
Variable 1 is the number of customers who were interviewed. It represented the frequencies of different customers who shop at Base Thrainsson Company.
Numeric Variable Name2 (if applicable)
Variable 2 represents the different categories of customers on how they shop at Base Thrainsson Company.
Interpretation
80 customers were sampled and asked questions regarding their shopping at Base Thrainsson Company. Among the 80 interviewed customers only 9 were fully loyal to the company. The category which had the maximum number of individuals was occasional shoppers having 30 people.
The data was normally distributed with the most individuals at the middle and few at both extremes. The confidence interval was 95%.
References
Evans, I. S. (1972). General geomorphometry, derivatives of altitude, and descriptive statistics. DURHAM UNIV (ENGLAND) DEPT OF GEOGRAPHY.
Oja, H. (1983). Descriptive statistics for multivariate distributions. Statistics & Probability Letters, 1(6), 327-332.