The ages of the 10 best actresses in Hollywood are as follows: 37, 48, 56, 66, 55, 60, 52, 54, 48, 69. Use the 10 ages of the best actresses to calculate the interquartile range

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The ages of the 10 best actresses in Hollywood are as follows: 37, 48, 56, 66, 55, 60, 52, 54, 48, 69. Use the 10 ages of the best actresses to calculate the interquartile range

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Step 1

We first arrange the given 10 ages of the best actresses in ascending order as,

37, 48, 48, 52, 54, 55, 56, 60, 66, 69.

We have the first and third quartile computed as,

Q1=size of N+14thobservation     =size of 10+14thobservation    =size of 2.75thobservation    =size of 2nd + 0.75(size of 3rd - size of 2nd ) observation    =48+0.75(48-48)    =48Q3=size of 34(N+1)thobservation     =size of 3×10+14thobservation    =size of 8.25thobservation    =size of 8th + 0.75(size of 9th - size of 8th ) observation    =60+0.25(66-60)    =61.5

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