Question

Jeremy is recording the weights, in ounces, of different rock samples in a lab. The weights of seven rocks are listed below.

11, 13, 14, 6, 10, 9, 10

The eighth rock that he weighed was 5 ounces. How would the interquartile range of the data be affected if Jeremy includes the weight of the eighth rock?
A.
The interquartile range does not change.
B.
The interquartile range cannot be determined.
C.
The interquartile range increases.
D.
The interquartile range decreases.

Answer 1

The correct answer is option "C"

"The interquartile range increases"

The value of the (RIC) will increase from 4 to 5.75, that is, 44%

Explanation:

The range is defined as the difference between the maximum and minimum value of a series of data. Xmax - Xmin

The interleaving range (RIC) is a measure of dispersion that measures the central range of 50% of the data.

Therefore, if a low value is included, such as five, the variance of the data would be greater and, consequently, the value of the (RIC) will increase from 4 to 5.75, that is, 44%

Answer 2

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