Question

the range and coefficient of range for the following data 120 100 130 50 150
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Answer 1

The length and breath of a room are respectivly 24 m and 40 m. If the room accommodates 960 m³ of air then what is the height of room

Answer 2

Given:

A data.

120, 100, 130, 50, 150.

To find:

The range and coefficient of range of the given data.

Solution:

The range of the given data is 100 and the coefficient of the range is 0.5.

To answer this question, we will do the following steps:

First of all, we should know that the range of a given data is equal to the difference between the highest value and the lowest value in the given data set.

Also, the coefficient of the range is the ratio of the difference of highest value and the lowest value to the sum of the highest value and the lowest value in the given data set.

So,

we have data

120, 100, 130, 50, 150

Here,

the highest value is 150 and the lowest value is 50.

So, the range is

= 150 - 50

= 100

Now,

The coefficient of range of given data

$= \frac{150-50}{150+50}$

$= \frac{100}{200}$

$= \frac{1}{2}$

$= 0.5$

Hence, the range and coefficient of range of the given data are 100 and 0.5 respectively.