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As an introduction to probability, a student is asked to roll
a fair, six-sided number cube seven times. The results of
those seven rolls are shown below.
1, 4, 4, 4, 4, 6, 5
4
2 3 4 5
6
What is the IQR of the data?
01
02
5
1.53
7
8

Answer 1

Based on the calculations, the IQR of this data is equal to 2.

How to determine the IQR of this data?

IQR is an acronym for interquartile range and it is a measure of the middle 50% of data values when they are ordered from lowest to highest.

Next, we would order the data from lowest to highest and then determine the median as follows:

Data = {1, 4, 4,} 4, {4, 6, 5}

Median = 4.

For Q₁ of the lower half of the data, we have:

Lower half = {1, 4, 4,}

Q₁ = 4.

For Q₃ of the upper half of the data, we have:

Upper half = {4, 6, 5}

Q₃ = 6.

Mathematically, IQR is the difference between quartile 1 (Q₁) and quartile 3 (Q₃):

IQR = Q₃ - Q₁

IQR = 6 - 4

IQR = 2.

Read more on IQR here: https://brainly.com/question/17658705

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