CBSE Class 10 Answered
Find the value of p, if mean of the following data is 18
Asked by arnima | 05 Mar, 2009, 10:33: AM
Expert Answer
Finding the value of f.x for each value of x we get:
f.x 104 30 51 76 (20+p)5p 138
Now, mean = Σ f.x / Σf
Σ f. x = 104+30+51+76+(20+p)5p+138 = 399+100p+5p2
Σf = 23+5p
mean = 18 (given)
Hence, 18 = 399+100p+5p2 / 23+5p
Solving this, we get the quadratic equation
p2+2p-3 = 0
this gives the values of p as -3 and 1.
Answered by | 05 Mar, 2009, 12:01: PM
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