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A data set has 11 numbers in it. Each number is a whole number and there are no repeats.


The bottom 2 values of the data set are 2, 3.

The top 2 values of the data set are 22, 23.


What is the largest POSSIBLE value for the interquartile range?

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Answer:

The answer is 17

Step-by-step explanation:

The interquartile range is Q3 - Q1. With 11 data points the Q1 value will be the 3rd data value in the data set and Q3 will be the 9th data value in the set.


The smallest possible value for Q1 is 4 and the largest possible value for Q3 is 21 so the largest possible value for the IQR is 21 - 4 = 17

The required largest value for the interquartile range is 17.

Data set of 11 numbers are given with 2,3 bottom values and  22, 23 are top values. The largest possible value for the interquartile range is to be determined.

What is the range?

The range is the set of outcomes value for every x that exists in the domain of a function.

Here, for interquartile range (Q1,Q3)  are given as Q1 = 4(third from left) Q3 = 21 (third from right).
Largest value for interquartile range = Q3-Q1
                                                               =  21-4
                                                               =   17

Thus, the required Largest value for the interquartile range is 17.

Learn more interquartile range here:

https://brainly.com/question/4135956

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