Question

Find the missing frequency ‘k’ from the following data if mean is 16.​

Answer 1

$</p><p>\fbox{x= \:5</p><p> \: \:10 \:15 \:20 \:25}\\ \fbox{F = \:2 \: \: \: \: 8 \: \: \:k \:10 \:5 } \\ \fbox{fx = \:10\:80\:15k \:200\:125}$

$\sf\sum{fx=415+15k}$

$\sf\sum{f=25+k}$

$\sf{mean}= \frac{415 + 15k}{25 + k} \\ 16 = \frac{415 + 15k}{25 + k} \\ 16(25 + k) = 415 + 15k \\ 400 + 16k = 415 + 15k \\ \fbox\red {k = \:15}$

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