Part A: You have a set of scores for 250 program participants. The score range is from 0 to 100 (the closer to 100 the more services the individual requires). The mean of the scores for these 250...

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Part A:


You have a set of scores for 250 program participants. The score range is from 0 to 100 (the closer to 100 the more services the individual requires). The mean of the scores for these 250 program participants is 73. The median is 40.


a) Please provide a definition for mean and median.


b) Please explain why there is a discrepancy between the median and the mean and how you should handle this in your analysis and reporting.


Part B:


When would you use a t-test, chi-square, one-way analysis of variance, and correlation?



Answered Same DayJul 05, 2022

Answer To: Part A: You have a set of scores for 250 program participants. The score range is from 0 to 100 (the...

Inder Raj Singh answered on Jul 06 2022
79 Votes
PART-A
a) The mean of a set of data represents the average value in the set. In the context of a di
screte set of data, it is also referred to as the arithmetic mean and is obtained by dividing the sum of the values in the set by the total number of data points.
The median represents the middle value in an ascendingly sorted list of numbers. For a discrete set of data, it is given by the (n+1)/2th value in the sorted list, if n is odd and by the average of the n/2th and the (n/2 + 1)th value if n is even.
b) The mean being higher than the median indicates that the distribution is positively skewed. Though there may be more values lesser than the mean, there may be few really large values (close to 100), pushing the overall mean up to 73. In the context of the...
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