Using the assumed-mean method,find the mean of the following data:
|Class | Frequency|
0-10 --- 7
10-20 --- 8
20-30 --- 12
30-40 ---13
40-50 ---10
|Class | Frequency|
0-10 --- 7
10-20 --- 8
20-30 --- 12
30-40 ---13
40-50 ---10
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Answer:
We have to take the assumed mean from the values in the middle part of xi
We take Assumed mean = 15
Assumed mean, a = 15
So mean = a + (∑di× fi/∑fi)
∑di× fi = -80 + 0 + 100 + 120 = 140
∑fi = 8 + 12 + 10 + 6 = 36
Therefore, Mean = a + (∑di× fi/∑fi)
=15 + (140/36)
= 15 + 3.88
= 18.88
Hence mean by assumed mean method is 18.88
Step-by-step explanation:
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