The heights of 10 girls were measured in cm and the results are as follows:
135, 150, 139, 128, 151, 132, 146, 149, 143, 141.
$(i)$. What is the height of the tallest girl?
$(ii)$. What is the height of the shortest girl?
$(iii)$. What is the range of the data?
$(iv)$. What is the mean height of the girls?
$(v)$. How many girls have heights more than the mean height.

Given:

The heights of 10 girls were measured in cm.

To do:

We have to answer the given questions.

Solution:

Let us arrange the given data in ascending order

128 , 132 , 135 , 139 , 141 , 143 , 146 , 149 , 150 , 151

(i) Height of the tallest girl $=151\ cm$

(ii) Height of the shortest girl $=128\ cm$

(iii) Range $=$ Tallest highest $-$ Shortest height

$=( 151-128)$

$=23\ cm$

(iv) Mean $= \frac{ \text { sum of all observations }}{ \text { Total number of observations }}$

$=\frac{1414}{ 10}$

$=141.4$ cm

(v) Number of girls with a height higher than the mean $= 5$

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Updated on: 10-Oct-2022

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