Question

If mode of the following data is 15, find k.


10,15,17,15,k÷2+6,17,20

Answer 1

Step-by-step explanation:

[10+15+17+15+(k/2+6)+17+20]/7=15

[100+k/2]=105

200+k=210

k=10

Answer 2

The value of k is 18

Given:

10, 15, 17, 15, k÷2+6, 17, 20 is a data  

And mode of the data = 15  

To find:  

Find the value of k

Solution:

Given data 10, k÷2+6, 15, 15, 17, 17, 20  

As we know mode of the data is frequently repeated term  

In given data 15 repeated for 2 times and 17 also repeated for 2 times

But the mode of the data is 15, which means 15 must be repeated for 3 times

Then k÷2+6 must be equal to 15

⇒ k ÷ 2 + 6 = 15

⇒ k/2 = 9

⇒ k = 9 × 2 = 18  

Therefore, the value of  k = 18

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