Question

Find the "usual" minimum and maximum values in a data set that has the same mean and standard deviation as the following data set. {75, 65, 100, 80, 85, 75, 100}

A) 65 and 100
B) 70 and 85
C) 65 and 85
D) 75 and 100

Answer 1

The usual minimum and maximum values of the data set {75, 65, 100, 80, 85, 75, 100} are 65 and 100 respectively, without the need for further calculations.

This correct answer is A)

Step-by-step explanation:

To find the usual minimum and maximum values in a data set that has the same mean and standard deviation as the given data set {75, 65, 100, 80, 85, 75, 100}, we first need to understand what "usual" refers to in this context.

Typically, it relates to the values within one standard deviation from the mean, as these cover approximately 68% of the data in a normal distribution. However, since we're given a set of discrete numbers, we'll consider the actual minimum and maximum values from the set provided.

The given data set has the smallest number as 65 and the largest as 100. Without performing any additional calculations, these numbers are the minimum and maximum values of the data set respectively. Therefore, Option A is correct, which is 65 and 100.

This correct answer is A)