The weighted mean of the following data is ______? Item = 18 19 20 21 22 23 24 Weights = 2 3 4 2 1 1 1
- 20.286
- 22.286
- 21.285
- None of these
Explanation
To find the weighted mean:
Step 1: Calculate the weighted sum
Weighted sum = (18_2) + (19_3) + (20_4) + (21_2) + (22_1) + (23_1) + (24*1)
= 36 + 57 + 80 + 42 + 22 + 23 + 24
= 284
Step 2: Calculate the total weight
Total weight = 2 + 3 + 4 + 2 + 1 + 1 + 1
= 14
Step 3: Calculate the weighted mean
Weighted mean = Weighted sum / Total weight
= 284 / 14
= 20.286
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