Question

Which of the statements below is true for the following set of numbers?
30, 25, 50, 75, 75, 60



The range and the midrange are equal.


The range is less than the midrange.


The range is 50 and the midrange is 25.


The range is 75 and the midrange is 55.

Answer 1

Answer:

The range is less than the midrange is the answer.

Answer 2

Taking into account the definition of midrange and range, the range and the midrange are equal (the first option).

Midrange

In statistics, the midrange of a set of statistical data values ​​is the arithmetic mean of the maximum and minimum values ​​of a data set. [The arithmetic mean of an observed data set is defined as the sum of the numerical values ​​of each and every observation, divided by the total number of observations.]

So, the midrange is calculated as:

$M=\frac{max+min}{2}$

where:

• M = midrange
• max = maximum value in a data set
• min = minimum value in a data set

Range

The range of a data set is a measure of the spread of observations that is defined as the difference between the largest and smallest observed values ​​in a data set.

That is, the range is calculated as:

range = max - min

where:

• max = maximum value in a data set
• min = minimum value in a data set

Midrange and range in this case

First, you must identify the minimum value and the maximum value of the data set. In this case these values ​​are:

• max = 75
• min = 25

So the minrage is calculated as:

$M=\frac{75+25}{2}$

$M=\frac{100}{2}$

M=50

and the range is calculated as:

range= 75 -25

range= 50

Finally, you can observe that the range and the midrange are equal (the first option).

Learn more about the range and midrange:

https://brainly.com/question/12690048

https://brainly.com/question/24159961

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