Question

Arithmetic mean of 10 observations was found to be 22 if one more observation 44 was to be added to the data what would be the new mean ​

Answer 1

Answer:

The new mean is 24.

Step-by-step explanation:

The mean formula is:

$\bar x=\frac{1}{n}\sum x$

Given:

$\bar x=22\\n=10$

Compute the sum of 10 observations as follows:

$\bar x=\frac{1}{n}\sum x\\22=\frac{1}{10}\sum x\\\sum x=220$

A new observation 44 is added.

Compute the new mean as follows:

$\bar X=\frac{1}{10+1}[\sum x+44]\\=\frac{1}{11}[220+44]\\=\frac{264}{11}\\=24$

Thus, the new mean is 24.

Answer 2

Step-by-step explanation:

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