Will be the mean of the new numbers 11 the mean of 12 numbers is 40 if each number is divided by 8 What will be the mean of the new numbers?

1. Mean of ungrouped data:

(i) If x1, x2, x3, …, xn are n values of a variable X, then the arithmetic mean of these values is given by

X¯=x1+x2+⋯+xnn Or X¯=∑i=1nxin

2. Median of ungrouped data:

(i) The median of a distribution is the value of the variable which divides the distribution into two equal parts.

(ii) If x1, x2, x3, ..., xn are n values of a variable arranged in ascending or descending order, then

Median=Value of n+12thobservation, if n is oddValue of n2th observation+value of n2+1thobservation2, if n is even

3. Mode of ungrouped data:

The mode is the most frequently occurring observation.

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Given,

Mean of 12 numbers = 40

Sum of these numbers = 12 × 40 = 480

When each number is divided by 8

The new sum becomes =

New mean =