Question
Download Solution PDFA random sample of 24 people is classified in the following table according to their ages:
|
Age |
Frequency |
|
10 – 20 |
4 |
|
20 – 30 |
6 |
|
30 – 40 |
8 |
|
40 – 50 |
2 |
|
50 - 60 |
4 |
What is the mean age of this group of people?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
- \({\rm{Mean}} = \frac{{\sum {\rm{xf}}}}{{\sum {\rm{f}}}}\)
Calculation:
|
Age |
Frequency (f) |
x |
xf |
|
10 – 20 |
4 |
15 |
60 |
|
20 – 30 |
6 |
25 |
150 |
|
30 – 40 |
8 |
35 |
280 |
|
40 – 50 |
2 |
45 |
90 |
|
50 - 60 |
4 |
55 |
220 |
|
|
\(\sum {\rm{f}} = 24\) |
|
\(\sum {\rm{xf}} = 800\) |
We know that, \({\rm{Mean}} = \frac{{\sum {\rm{xf}}}}{{\sum {\rm{f}}}}\)
\(\therefore {\rm{Mean}} = \frac{{800}}{{24}} = 33.3\)
Last updated on Apr 30, 2025
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