Interpret the interquartile range. Choose the correct answer below.
A.
All observations have a range of 257.3 crimes per 100,000 population.
B.
The middle 50% of all observations have a range of 257.3 crimes per 100,000 population.
C.
The middle 25% of all observations have a range of 257.3 crimes per 100,000 population.
D.
The middle 50% of all observations have a range of 116.7 crimes per 100,000 population.

Question

valdezjoy8 valdezjoy8

19-09-2021
Mathematics

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Interpret the interquartile range. Choose the correct answer below.
A.
All observations have a range of 257.3 crimes per 100,000 population.
B.
The middle 50% of all observations have a range of 257.3 crimes per 100,000 population.
C.
The middle 25% of all observations have a range of 257.3 crimes per 100,000 population.
D.
The middle 50% of all observations have a range of 116.7 crimes per 100,000 population.

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fichoh fichoh · Answer 1 · 2021-09-29T21:16:10+02:00

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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