Question

the mean median and mode of 4 numbers is 8 the smallest number is 7 find the numbers

Answer 1

The smallest number is 7.
Mode is 8. This means 8 comes at least two times in four numbers.
Let the fourth number be x.

So, we have numbers as 7, 8, 8 and x.
Mean of these numbers = (7 + 8 + 8 + x)/4 = 8

(23 + x)/4 = 8

23 + x = 32

x = 32 - 23

x = 9

hence, the number is 7,8,8,9.


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Answer 2

Dear Student,

Answer: All four numbers are 9, 8, 8, 7.
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Solution:

A.T.Q

Total numbers are 4

the smallest number is 7.

As per question Mean,Mode and Median of all

four numbers are 8.

As we know that mode is that number which

appears maximum.

i.e. A number having highest frequency is

mode,it indicates 8 appears at least two time.

So, now we assume that fourth number is x.

All the numbers then written as x, 8,8,7

Mean:
$\frac{x + 8 + 8 + 7}{4} = 8 \\ \\ \frac{x + 23}{4} = 8 \\ \\ x + 23 = 32 \\ \\ x = 32 - 23 \\ \\ x = 9$
So x = 9.

All four numbers are 9, 8, 8, 7.

Hope it helps you.