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

User Carrol
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1 Answer

3 votes

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

User Dmind
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4.5k points