Find the mean age in years from the frequency distribution given below- beginarray - c - c - Wine t e x t C l a s s i n t e r v a l o f a g e i n y e a r s - Frequency fi 1Wine25-29 - 4 1hiline30-34 - 1411hiline35-39 - 2211Wine40-44 - 16 hiline45-49 - 6 1hline50-54 - 5 hiline55-59 - 3 1WineTotal - 70 1 Wlinelend array A- 40-15B- 39-35C- 40-39D- 29-39

The correct option is B 39.35 Class mark for first class interval = Upper class limit + Lower class limit/2 = 25 + 29/2= 27 Similarly the class mark for each ...

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Standard X

Mathematics

Direct Method

Find the mean...

Question

Find the mean age in years from the frequency distribution given below:
$\begin{matrix} Class interval of age in years & Frequency (f_{i}) 25 - 29 & 4 30 - 34 & 14 35 - 39 & 22 40 - 44 & 16 45 - 49 & 6 50 - 54 & 5 55 - 59 & 3 Total & 70 \end{matrix}$

39.35

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29.39

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40.15

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40.39

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Solution

The correct option is A
39.35

Class mark for first class interval =

$\frac{Upper class limit + Lower class limit}{2} = \frac{25 + 29}{2} = 27$
Similarly the class mark for each class interval can be found.
$\begin{matrix} Class interval & Frequency (f_{i}) & Class mark (x_{i}) & f_{i} x_{i} 25 - 29 & 4 & 27 & 108 30 - 34 & 14 & 32 & 448 35 - 39 & 22 & 37 & 814 40 - 44 & 16 & 42 & 672 45 - 49 & 6 & 47 & 282 50 - 54 & 5 & 52 & 260 55 - 59 & 3 & 57 & 171 Total & \sum f_{i} = 70 & \sum f_{i} x_{i} = 2755 \end{matrix} Mean = \frac{\sum f_{i} x_{i}}{\sum f_{i}} = \frac{2755}{70} = 39.4$

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Find the mean age in years from the frequency distribution given below: Class interval of age in yearsFrequency(fi)25−29430−341435−392240−441645−49650−54555−593Total70

Find the mean age in years from the frequency distribution given below:
$\begin{matrix} Class interval of age in years & Frequency (f_{i}) 25 - 29 & 4 30 - 34 & 14 35 - 39 & 22 40 - 44 & 16 45 - 49 & 6 50 - 54 & 5 55 - 59 & 3 Total & 70 \end{matrix}$