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

Respuesta :

Answer:

2.9

Step-by-step explanation:

[tex]\left|\begin{array}{c|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|[/tex]

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

Mean, [tex]\mu =\dfrac{\sum fx}{\sum f}[/tex]

[tex]\left|\begin{array}{c|c|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|[/tex]

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

[tex]\mu =\dfrac{237}{82}=2.9 $ (correct to 1 d.p.)[/tex]