The arithmetic mean of the following data is 14. Find the value of k.
xi: | 5 | 10 | 15 | 20 | 25 |
yi: | 7 | k | 8 | 4 | 5 |
X | y | yx |
5 | 7 | 35 |
10 | K | 10k |
15 | 8 | 120 |
20 | 4 | 80 |
25 | 5 | 125 |
N = 24 + k | ∑yx = 360 + 10k |
Given,
Mean = 14
= 14
= 14
360 + 10k = 336 + 14k
24 = 4k
k = 6
Hence, the value of k is 6
13