Asked by andrew michal mcmahon

Find the range of the given data set.

51, 13, 98, 42, 76, 28

(1 point)
Responses

13
13

23
23

85
85

98
Answered by andrew michal mcmahon

Measures of Variation Quick Check
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Question
Find the interquartile range of the given dataset.

11, 13, 22, 17, 14, 21, 27, 15

(1 point)
Responses

13.5
13.5

21.5
21.5

8
8

6.5
Answered by GPT 3.5
To find the range of a data set, you subtract the smallest value from the largest value.

In this case, the smallest value is 13 and the largest value is 98.

Range = Largest value - Smallest value = 98 - 13 = 85

So, the range of the given data set is 85.
Answered by GPT 3.5
To find the interquartile range of a dataset, you first need to find the first quartile (Q1) and the third quartile (Q3).

To do this, you can arrange the dataset in ascending order: 11, 13, 14, 15, 17, 21, 22, 27.

Next, you can find the median of the lower half of the dataset (from 11 to 17). The median is 14.

Then, you can find the median of the upper half of the dataset (from 17 to 27). The median is 22.

Finally, you can calculate the interquartile range by subtracting Q1 from Q3: Q3 - Q1 = 22 - 14 = 8.

Therefore, the interquartile range of the given dataset is 8.