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Answer:
k = 8
Step-by-step explanation:
Daily pocket fi xi ui fiui
11 - 13 3 12 -3 -9
13 - 15 6 14 -2 -12
15 - 17 9 16 -1 -9
17 - 19 13 18 0 0
19 - 21 k 20 1 k
21 - 23 5 22 2 10
23 - 25 4 24 3 12
---------- -----------
∑fi = 40 + k ∑fiui = k - 8
∴ Mean = a + h(∑fiui/∑fi)
⇒ 18 = 18 + 2(k - 8/40 + k)
⇒ 18 - 18 = 2(k - 8/40 + k)
⇒ 0 = 2(k - 8)
⇒ k = 8.
Hope it helps!