Question
Download Solution PDFConsider the following grouped frequency distribution:
|
X |
F |
|
0-10 |
8 |
|
10-20 |
12 |
|
20-30 |
10 |
|
30-40 |
P |
|
40-50 |
9 |
If the mean of the above data is 25.2, then what is the value of p?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDF|
X |
F |
Z |
F × Z |
|
0-10 |
8 |
5 |
40 |
|
10-20 |
12 |
15 |
180 |
|
20-30 |
10 |
25 |
250 |
|
30-40 |
P |
35 |
35P |
|
40-50 |
9 |
45 |
405 |
Z is the midpoint of range of x for every data
sum of all F × Z = 875 + 35P
mean of above data is 25.2 & sum of all F = 8 + 12 + 10 + P + 9 = 39 + P
mean \(= \frac{{875 + 35P}}{{39 + P}} = 25.2\)
⇒ 9.8 P = 107.8
⇒ P = 11Last updated on May 29, 2025
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