Question

Find the mean of the following distribution. a. The age of 20 boys in a locality is given below. Age in Years 12,10,15,14,8 and Number of boys 5,3,2,6,4?

Answer 1

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Answer 2

$Prepare \: Frequency\: Distribution \:Table:$

$\begin {tabular} {|c|c|c|} </p><p>\cline {1-3} Age (x_{i})& Number of boys(f_{i})}&f_{i}x_{i} \\</p><p>\cline {1-3} 12&5&60\\</p><p>\cline {1-3} 10&3&30\\</p><p>\cline {1-3} 15&2&30\\</p><p>\cline {1-3}14&6&84\\</p><p>\cline {1-3} 8&4&32\\</p><p>\cline {1-3} -&\sum f_{i} =20&\sum f_{i}x_{i}= 236 \\</p><p>\cline {1-3} </p><p>\end {tabular}$

$Mean \: ( \overline {x} ) = \frac{ \sum f_{i}x_{i}}{\sum f_{i}}$

$= \frac{232}{20} \\= \frac{116}{10}\\= 11.6$

Therefore.,

$\red {Mean \: ( \overline {x} ) }\green {=11.6}$

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