Question

9. Find the mean of the following data :

Х
8
10
12
20
16
F
2
3
7
2
5​

Answer 1

`\boxed{13.15}`

Explanation:

( See the attached picture )

Now,

Mean =
`\mathsf{(Σfx)/(n) }`

`\mathsf{ = (250)/(19) }`

`\mathsf{ = 13.15}`

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In the case of repeated data , follow the steps given below to calculate the mean :

• Draw a table with 3 columns
• Write down the items ( x ) in ascending or descending order in the first column and the corresponding frequencies in the second column.
• Find the product of each item and it's frequency ( fx ) and write in the third column.
• Find the total of f column and fx column.
• Divide the sum of fx by the sum of f ( total number of items ) , the quotient is the required mean.

Hope I helped!

Best regards!