Find the mean age in years from the frequency distribution given below- beginarray - c - c - WlineClass interval of age in years - Frequency f - i Wline25-29 - 4 Whine 30-35 - 1411Wline35-39 - 2211hine 40-45 - 16 hline45-49 - 6 hline50-55 - 5 Wline55-59 - 3 1WlineTotal - 70 1Wline lend array A- 40-15B- 40-39C- 39-35D- 38-39

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

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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:
$\begin{matrix} C l a s s i n t e r v a l o f a g e i n y e a r s & F r e q u e n c y (f_{i}) 25 - 29 & 4 30 - 35 & 14 35 - 39 & 22 40 - 45 & 16 45 - 49 & 6 50 - 55 & 5 55 - 59 & 3 T o t a l & 70 \end{matrix}$

39.35

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38.39

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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.
$\begin{matrix} C l a s s i n t e r v a l & F r e q u e n c y (f_{i}) & C l a s s m a r k (x_{i}) & f_{i} x_{i} 25 - 29 & 4 & 27 & 108 30 - 35 & 14 & 32 & 448 35 - 39 & 22 & 37 & 814 40 - 45 & 16 & 42 & 672 45 - 49 & 6 & 47 & 282 50 - 55 & 5 & 52 & 260 55 - 59 & 3 & 57 & 171 T o t a l & \sum f_{i} = 70 & \sum f_{i} x_{i} = 2755 \end{matrix} M e a n = \frac{\sum f_{i} x_{i}}{\sum f_{i}} = \frac{2755}{70} = 39.4$

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Q. Find the mean age in years from the frequency distribution given below.

\begin{matrix} 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 & F r e q u e n c y (f_{i}) 25 - 29 & 4 30 - 34 & 14 35 - 39 & 22 40 - 44 & 16 45 - 49 & 6 50 - 54 & 5 55 - 59 & 3 T o t a l & 70 \end{matrix}

Find the mean age in years from the frequency distribution given below:
$\begin{matrix} C l a s s i n t e r v a l o f a g e i n y e a r s & F r e q u e n c y (f_{i}) 25 - 29 & 4 30 - 35 & 14 35 - 39 & 22 40 - 45 & 16 45 - 49 & 6 50 - 55 & 5 55 - 59 & 3 T o t a l & 70 \end{matrix}$

Find the mean age from the following frequency distribution:
$\begin{matrix} Age (in years) & 25 - 29 & 30 - 34 & 35 - 39 & 40 - 44 & 45 - 49 & 50 - 54 & 55 - 59 Number of persons & 4 & 14 & 22 & 16 & 6 & 5 & 3 \end{matrix}$

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

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Find the mean age in years from the frequency distribution given below: Class interval of age in yearsFrequency(fi)25−29430−351435−392240−451645−49650−55555−593Total70

Find the mean age in years from the frequency distribution given below:
$\begin{matrix} C l a s s i n t e r v a l o f a g e i n y e a r s & F r e q u e n c y (f_{i}) 25 - 29 & 4 30 - 35 & 14 35 - 39 & 22 40 - 45 & 16 45 - 49 & 6 50 - 55 & 5 55 - 59 & 3 T o t a l & 70 \end{matrix}$