Question

A researcher has conducted a study and has obtained a data set. He is seeking your help and requests that you calculate the mean, range, median, and mode and distinguish which of these are measures of central tendency and which are measures of variability. Additionally, he has calculated the variance and standard deviation, and would also like you to classify these measures. He thanks you in advance for your help. The data set is as follows: 14, 10, 9, 16, 10, 15, 14, 16, 14, 11

Answer 1

i am using minitab to solve the problem.

steps:-

copy the data in minitab and name the column x stat basic statistics display descriptive statistics in variables select x statistics tick mean,standard deviation,variance,median,mode,rangeokok.

the minitab output be:-

Variable	Mean	StDev	Variance	Median	Range	Mode
x	12.900	2.644	6.989	14.000	7.000	14

*** SOLUTION ***

mean = 12.9

median = 14

mode = 14

range = 7

mean , median, mode are the measures of central tendency.

range is the measure of variability.

variance = 6.989

standard deviation (sample ) = 2.644

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