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Find the mean height of persons from the following data.Height (cm)Number of persons12031304140515061602
Question

Find the mean height of persons from the following data.

Height (cm)

Number of persons

120

3

130

4

140

5

150

6

160

2

A.

150 cm

B.

145 cm

C.

160 cm

D.

140 cm

Correct option is D

Given:

Height (cm)

Number of Persons

120

3

130

4

140

5

150

6

160

2

Formula Used:
Mean Height=Sum of products of height and number of personsTotal number of persons\text{Mean Height} = \frac{\text{Sum of products of height and number of persons}}{\text{Total number of persons}}​​
Solution:
Total height = 120×3 + 130×4 + 140×5 + 150×6 + 160×2 = 2800 cm
Total number of persons = 3 + 4 + 5 + 6 + 2 = 20
Mean height =280020 \frac{2800}{ 20} ​= 140.00 cm
The mean height of the persons is 140.00 cm.

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