Question

(1)
Find different sets of 6 different numbers between 10 and 30 with each
number given below as mean:
i) 20
ii) 15
iii) 25​

Answer 1

(i) 17, 18, 19, 21, 22, and 23.

(ii) 12, 13, 14, 16, 17, and 18.

(iii) 22, 23, 24, 26, 27, and 28.

Step-by-step explanation:

(i) We have to find different sets of 6 different numbers between 10 to 30 with 20 as the mean.

So, the numbers can be (20 - 3), (20 - 2), (20 - 1), (20 + 1), (20 + 2), and (20 + 3) i.e. 17, 18, 19, 21, 22, and 23.

So, the mean is $\frac{17 + 18 + 19 + 21 + 22 + 23}{6} = 20$.

(ii) We have to find different sets of 6 different numbers between 10 to 30 with 15 as the mean.

So, the numbers can be (15 - 3), (15 - 2), (15 - 1), (15 + 1), (15 + 2), and (15 + 3) i.e. 12, 13, 14, 16, 17, and 18.

So, the mean is $\frac{12 + 13 + 14 + 16 + 17 + 18}{6} = 15$

(iii) We have to find different sets of 6 different numbers between 10 to 30 with 25 as the mean.

So, the numbers can be (25 - 3), (25 - 2), (25 - 1), (25 + 1), (25 + 2), and (25 + 3) i.e. 22, 23, 24, 26, 27, and 28.

So, the mean is $\frac{22 + 23 + 24 + 26 + 27 + 28}{6} = 25$ (Answer)