Question

यदि निम्नलिखित आँकड़ों का माध्य 17.45 हो, तो p का मान ज्ञात कीजिए।
x:15
16
17
18
19
20
f:3
8
10
P
5
4​

Answer 1

उतर :-

Xi ------------ Fi --------------- XiFi

15 ----------- 3 ---------------- 45

16 ----------- 8 ---------------- 128

17 ----------- 10 ---------------- 170

18 ----------- p ---------------- 18p

19 ----------- 5 ---------------- 95

20 ----------- 4 ---------------- 80

⅀ Fi = 30+p ⅀FiXi = 518 + 18p

→ माध्य = ⅀FiXi / ⅀ Fi

→ 17.45 = (518 + 18p)/(30 + p)

→ 17.45(30 + p) = 518 + 18p

→ 523.5 + 17.45p = 518 + 18p

→ 18p - 17.45p = 523.5 - 518

→ 0.55p = 5.5

→ p = 10 (Ans.)

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