Question

9. The maximum value of a data set

consisting of 25 positive integers is 84. A
new data set consisting of 26 positive
integers is created by including 96 in the
original data set. Which of the following
measures must be 12 greater for the new
data set than for the original data set?​

Answer 1

Let m be the minimum value of original data set.

Given -

• The range of original data set = 84 -m
• A new data set consists of 26 positive integers and 96 original data set.

Therefore, the range of new data set is 96-m.

Now, we can find the difference between two ranges by subtracting the ranges -

`\\ \implies \sf \: (96 - m) - (84 - m) \\ \\ \\ \sf \footnotesize \: using \: \: distributive \: \: property \: - \\ \\ \\ \bf \: it \: \: will \: \: be \: \: equal \: \: to \: \: 12. \\`

Therefore, the range of the new data set must be greater than the range of original data set.