Question

9. The maximum value of a data set

Answer 1

Answer:

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.