Question

Interpret the interquartile range. Choose the correct answer below.

Answer 1

The value 257.3 denotes the range of the middle 50% of all observations in the distribution.

Q1 = 271.8 ; Q2 = 387.9 ; Q3 = 529.1

The Interquartile range is the difference between the the upper quartile and Lower quartile ;

• IQR = Q3 - Q1

• IQR = 529.1 - 271.8 = 257.3

The value of Q3 depict the 75th percentile of the data

The value of Q1 depicts the 25th percentile of the data

The difference between (Q3 and Q1) ; is the (75th - 25th) = middle 50th percentile of the distribution.

Since the difference between the maximum and minimum value is the range, then 257.3 is the range of the middle 50% of all observations in the distribution.

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