Question
Download Solution PDFA random sample of 20 people is classified in the following table according to their ages:
|
Age |
Frequency |
|
15 – 25 |
2 |
|
25 – 35 |
4 |
|
35 – 45 |
6 |
|
45 – 55 |
5 |
|
55 - 65 |
3 |
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 |
|
15 – 25 |
2 |
20 |
40 |
|
25 – 35 |
4 |
30 |
120 |
|
35 – 45 |
6 |
40 |
240 |
|
45 – 55 |
5 |
50 |
250 |
|
55 - 65 |
3 |
60 |
180 |
|
|
\(\sum {\rm{f}} = 20\) |
|
\(\sum {\rm{xf}} = 830\) |
We know that, \({\rm{Mean}} = \frac{{\sum {\rm{xf}}}}{{\sum {\rm{f}}}}\)
\(\therefore {\rm{Mean}} = \frac{{830}}{{20}} = 41.5\)
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