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Ni. Of shirts : 30-32 33-35 36-38 39-41 42-44 No. Of person : 15 14 42 27 18 What should be the assumed mean? (A) 34 (b) 37 (c) 40 (d) 43 Can you explain.?
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Ni. Of shirts : 30-32 33-35 36-38 39-41 42-44 No. Of person : 15 14 42...
Assumed mean is a value that lies somewhere in the middle of the given data set and is used to simplify calculations in statistical analysis. To determine the assumed mean for the given data set, we need to follow the steps below:

Step 1: Multiply the frequency of each category with its respective midpoint

Midpoint of the given categories can be calculated by taking the average of the lower and upper limits. For example, the midpoint of the category 30-32 can be calculated as (30+32)/2 = 31.

Therefore, multiplying the frequency of each category with its midpoint, we get:

30-32: 15 x 31 = 465
33-35: 14 x 34 = 476
36-38: 42 x 37 = 1554
39-41: 27 x 40 = 1080
42-44: 18 x 43 = 774

Step 2: Add up the products obtained in step 1 and divide by the total number of observations

Total number of observations can be calculated by adding up the given frequencies i.e. 15+14+42+27+18 = 116

Therefore, adding up the products obtained in step 1, we get:

465+476+1554+1080+774 = 4349

Dividing this sum by the total number of observations, we get:

Assumed Mean = 4349/116 = 37.5

Hence, the assumed mean for the given data set is 37.5.
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Ni. Of shirts : 30-32 33-35 36-38 39-41 42-44 No. Of person : 15 14 42 27 18 What should be the assumed mean? (A) 34 (b) 37 (c) 40 (d) 43 Can you explain.?
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