Question

The median, mode and mean of a data is 9. If there are five integers in the data and the range of the data
is 4. If the least value of the data is 7, then find the number of different observations in the data
(1) 3
(2) 4
(3) 2
(4) Cannot say​

Answer 1

Solution:

There are integers in the data = 9

There must be at least two 9's. Also, given that the least value is 7 and the range is 4.

The greatest value is 11.

7, 9, 9, and 11 are the four observations of the data. Let the 5th observation be X. Since, mean is 9, the sum of the observations must be 45.

$45 - (7 + 9 + 9 + 11) = x$

$45 - (36) = x$

$x = 9$

Number of the different observations in the data is 3.

Hence, the correct option is (A) 3.

Answer 2

Answer:

The answer is option (a) 3

Thank you