Question

Calculate Range and Quartile deviation of the following observations:20, 25, 29, 30, 35, 39, 41, 48, 51, 60 and 70​

Answer 1

$50$and $17.5$  are the Range and Quartile deviation of observations$20, 25, 29, 30, 35, 39, 41, 48, 51, 60 and 70$ .

Given:

From the given question observations ,$20, 25, 29, 30, 35, 39, 41, 48, 51, 60 and 70$

To find :

The range and quartile deviation.

Step-by-step explanation:

The Range is the difference between the Larger value in series and the smaller value in the series.

Range$=L-S$

$=70-20=50$

To find Quartile deviation,

Quartile deviation divides the series into four equal parts and measures the average distance between the third and the first quartile.

$\[{{Q}_{1}}=25\]$

$\[{{Q}_{3}}=60\]$

Where $\[{{Q}_{1}$  is denoted as first Quartile

$\[{{Q}_{3}$ is denoted as third Quartile

Quartile deviation$\[\frac{{{Q}_{1}}-{{Q}_{3}}}{2}=\frac{60-25}{2}=17.5\]$

Hence the Range and Quartile deviation of the following observations is $50$ and $17.5$