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# The Arithmetic Mean of the Following Data is 14. Find the Value of K - CBSE Class 10 - Mathematics

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#### Question

The arithmetic mean of the following data is 14. Find the value of k

 x1 5 10 15 20 25 f1 7 k 8 4 5

#### Solution

 x1 f1 x1f1 5 7 35 10 k 10k 15 8 120 20 4 80 25 5 125 sumf_1=24+k sumx_1f_1=360+10k

We know that mean, barx=(sumx_1f_1)/(sumf_1)

14=(360+10k)/(24+k)

By using cross multiplication method,

14(24 + k) = 360 + 10k

336 + 14k = 360 + 10k

14k - 10k = 360 - 336

4k = 24

k=24/4

Hence, k = 6

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Solution The Arithmetic Mean of the Following Data is 14. Find the Value of K Concept: Mean of Grouped Data.
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