Question

2.4,1.6,3.2,0.3,1.5 each piece of data is increased by 10 calculate the new mean

Answer 1

Answer:

The new mean is: 11.8

Step-by-step explanation:

Given the data set

2.4  1.6  3.2  0.3  1.5

Sum of terms = 2.4 + 1.6 + 3.2 + 0.3 + 1.5 = 9

Number of terms = 5

We know that the mean of a data set is the sum of the terms divided by the total number of terms, so

Mean = Sum of terms / Number of terms

substituting Sum of terms = 9 and Number of terms = 5

         = 9/5

          = 1.8

Thus, the Mean = 1.8

We need to determine the mean when each piece of data is increased by 10.

All we need is to add 10 in the determined mean to determine the new mean.

New Mean = Mean + 10

                   = 1.8 + 10

                   = 11.8

Therefore, the new mean is: 11.8

VERIFICATION:

When each piece of data is increased by 10

$2.4+10+1.6+10+3.2+10+0.3+10+1.5+10=59$

so,

$\frac{59}{5}=11.8$