Problem 4 Original Data Set New Data Set (a) Calculate the mean, median, mode, a

Question

Problem 4 Original Data Set New Data Set (a) Calculate the mean, median, mode, and the standard deviation of the data set. 7 12 mean = 9 14 median = 2 7 mode = 3 8 SD = 8 13 1 6 (b) Add 5 to each value in the data set. Then calculate the mean, median, mode, and the standard deviation of the new data set. 5 10 mean = 8 13 median = 4 9 mode = 7 12 SD = 7 12 (c) Which measures change? (d) Which measures stay the same? (e) Give an explanation of why some of the measures change and some stay the same. Problem 4 Original Data Set New Data Set (a) Calculate the mean, median, mode, and the standard deviation of the data set. 7 12 mean = 9 14 median = 2 7 mode = 3 8 SD = 8 13 1 6 (b) Add 5 to each value in the data set. Then calculate the mean, median, mode, and the standard deviation of the new data set. 5 10 mean = 8 13 median = 4 9 mode = 7 12 SD = 7 12 (c) Which measures change? (d) Which measures stay the same? (e) Give an explanation of why some of the measures change and some stay the same.

Explanation / Answer

Solution: We use excel for all calculations:

a) Command in excel,

Data--------->Data Analysis-------->Descriptive statistics------>Input data

b) Same command in excel only take New data set

c) Mean, Median and mode changed for both data sets

d)Only Standard deviation remains same for both data set

Done

Mean 5.5455 Standard Deviation 2.6968 Median 7.0000 Mode 7.0000

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