40 points fast For the following set of test scores, identify: • The mean • The median • The mode • The range • The interquartile range 50, 55, 70, 75, 82, 82, 90 Which measure …

Question

asked Nov 21, 2020 220k views

1 Answer

Edu Wass · Answer 1 · 2020-11-27T19:18:20+0000

Answer:

The measure of center would this student want his teacher to use is the

median
$= {\bf 75}$

Mean
$= {\bf 5}$ , Mode
$={\bf 82}$ , Range
$={\bf40}$ and Interquartile Range
$= {\bf 32}$

Explanation:

Given Data set
= 50,55,70,75,82,82,90

Number of elements in data set
= 7

To find Mean

The ‘Mean” is the average of a set of numbers.

The "Mean" is computed by adding all of the numbers in the data together and dividing by the number of elements contained in the data set.

Mean
$= \frac{50 +55 +70 + 75 + 82 + 82 + 90} {7 }$

Mean
= (504)/(7)

Mean
= 5

Median

The “Median” is the middle value of a set of ordered numbers.

Therefore Median
=75

Mode

The "Mode" for a set of data is the value that occurs most often.

It is not uncommon for a data set to have more than one mode. This happens when two or more elements occur with equal frequency in the data set.

Therefore Mode
=82

Range

The "Range" is the difference between the largest value and smallest value in a set of data.

Range
= 90-50

Range
= 40

Interquartile Range

The “Interquartile Range” is the difference between smallest value and the largest value of the middle 50% of a set of data.

The "Interquartile Range" is from Q1 to Q3:

To find the interquartile range of a set of data:

The cut the list into four equal parts

. The quartiles are the “cuts”

The interquartile range is the distance between the two middle sets of data

Interquartile Range
= Q_3-Q_1

Interquartile Range
= 82-50

Interquartile Range
= 32