Question

4. The heights of 50 children were measured (correct to the nearest cm) giving the following

results:
Height (in cm)
66
69
71
72 73
4
11
10
6
2
No. of children
4
Calculate the mean height for this distribution correct to one place of decimal.
65
1
67
5
68
7
70

Answer 1

Explanation:

38.4 cm

add all the heights and divide by ten(since total number of heights were ten)

35.5

Answer 2

To calculate the mean height, we need to find the sum of all the heights and divide it by the total number of children:

Sum of heights = (66 x 4) + (69 x 11) + (71 x 10) + (72 x 6) + (73 x 2) = 264 + 759 + 710 + 432 + 146 = 2311

Total number of children = 4 + 11 + 10 + 6 + 2 = 33

Mean height = Sum of heights / Total number of children = 2311 / 33 = 70.0

Therefore, the mean height for this distribution is 70.0 cm. Answer: 7