13. Find the value of p, if the mean of the following data is 20
15
19
20 + P
23
f
2.
3
4.
5р
6
Answers
Answered by
1
Answer:
x f fx
15 2 30
17 3 51
19 4 76
20+P 5P 100P + 5P2
23 6 138
N = 5P + 15 ∑fx = 295 + 100P + 5P2
Given
⇒ Mean = 20
⇒∑fxN=20
⇒295+100P+5P25P+15=20
⇒ 295 + 100P + 5P 2 = 20(5P + 15)
⇒ 295 + 100P + 5P 2 = 100P + 300
⇒ 100P - 100P + 5P 2 = 300 - 295
⇒ 5P2 = 5
⇒ P2 = 1
⇒ P = 1
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