Question

175, 180, 200, 212, 214, 215, 218, 225, 230, 235, 239, 245, 265, 290 Determine the...

175, 180, 200, 212, 214, 215, 218,

225, 230, 235, 239, 245, 265, 290

Determine the Interquartile Range (IQR).

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Answer #1

n = 14

Median is (14+1)/2th item =average of 7th & 8th items = (218+ 225)/2 = 221.5

Bottom half is given by:

175, 180, 200, 212, 214, 215, 218

The middle of these numbers = 212

So,

Q1 = First Quartile = 212

Upper half is given by:

225, 230, 235, 239, 245, 265, 290

The middle of these numbers = 239

So,

Q3 =Third Quartile = 239

So,

Interquartile Range = IQR = Q3 - Q1 = 239 - 212 = 27

So,

Answer is:

27

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