Question

give the following five-number summary, find the interquartile range. 29, 37, 50, 66, 94

Answer 1

we have the data set

29, 37, 50, 66, 94​

step 1

Order the data from least to greatest

so

29, 37, 50, 66, 94​

step 2

Find the median

29, 37, 50, 66, 94​

the median is 50

step 3

Calculate the median of both the lower and upper half of the data

29, 37, 50, 66, 94​

the lower half ------> (29+37)/2=33

upper half -------> (66+94)/2=80

step 4

The IQR is the difference between the upper and lower medians

so

80-33=47

the answer is 47