Question

there are 6 whole numbers in a set of numbers. The least number is 8, and the greatest number is 14. The mean, the median,and the mode are 11. What are the numbers?

Answer 1

The mean is the average value of the numbers given in the series

The median is the middle value of the given series  

The mode is the number that is appears more than any other number given in the series  

Step-by-step explanation:

Given information

The least number is 8 and the greatest number is 14

Mean,Median and mode is 11

So, the series can be 8,14,x,x,x,x

Mean = (8+14+x+x+x+x)/6= 11

11×6 = 66 - (8+14)=66-22 = 44

    44 = 4×   = × =44/4=11

$11×6 = 66 - (8+14)=66-22 = 44 44 = 4× = × =44/4=11$

So, the series is 8,11,11,11,11,14

$Mean= (8+11+11+11+11+14)/6 = 66 = 66/6 = 11$

Mean is 11

Median is 11 (8,11,11,11,11,14) = 11+11=22/2 =11

Median is 11

Mode is 11 ( 11 is appeared in 4 times)

Final Answer

the numbers are 8,11,11,11,11,14