Question

Fill in the blanks and select the correct option
(i) The mean of five numbers is 20. If 5 is subtracted
from each number, then the new mean is
(ii)
The median of the data 32, 44, 53, 47,37,54.34.
36, 40, 50 is
SPACE FOR​

Answer 1

Answer:

(i) The new mean is 15

(ii) Median of the given set of observations is 42

Step-by-step explanation:

(i) MEAN

We know that:

If "a" is subtracted from each observation and the new mean is calculated, then:

New Mean = Old Mean - 5

In our example,

New Mean = 20 - 5

                   = 15

(ii) MEDIAN

For finding the median, we first arrange the given observations in ascending order. This will be:

32, 34 , 36 , 37 , 40 , 44 ,  47 , 50 , 53 , 54

The number of observations = n = 10

As "n" is even,

Median = {(n/2)th term + [(n/2)+1]th term }/2

             = (5th term + 6th term)/2

             = (40 + 44)/2

             = 84/2

             = 42

Median is 42