Question

1.4 ACSF L5 SC Statistics: Interpreting and Analysing Data

82 people were surveyed as to how many TVs they had in their homes.
To 1 decimal place, what's the mean number of TVs owned by these households?
Number of TVs per Household Frequency
0
1
1
10
2
24
3
21
4
16
5
9
6
1

Answer 1

2.9

Explanation:

`\left|\begin{array}cc$Number of TVs per Household&$Frequency\\----------&--\\0&1\\1&10\\2&24\\3&21\\4&16\\5&9\\6&1\\----------&--\\Total&82\end{array}\right|`

We want to find the mean number of TVs owned by these households.

Mean,
`\mu =(\sum fx)/(\sum f)`

`\left|\begin{array}c$Number of TVs per Household(x)&$Frequency(f)&fx\\----------&--&----\\0&1&1\\1&10&10\\2&24&48\\3&21&63\\4&16&64\\5&9&45\\6&1&6\\----------&--&---\\&\sum f= 82&\sum fx =237\end{array}\right|`

Therefore, the mean number of TVs owned by these households is:

`\mu =(237)/(82)=2.9 $ (correct to 1 d.p.)`