Question

6. Find the mean, median, and mode of the set of
numbers: 6, 7, 11, 5, 8, 7, 4, 13, 11, 2.

Answer 1

Answer: 7.4, 7, 7 and 11

Explanation:

The mean is the sum of all the numbers divided by the number of numbers. In this case, there are 10 numbers.

`Mean=(6+7+11+5+8+7+4+13+11+2)/(10)=(74)/(10)=7.4`

The median is the number (or the average of the two numbers) in the middle of the set when it is ordered in ascending order. Let's first order it from least to greatest.

`2,4,5,6,7,7,8,11,11,13`

The two middle numbers are 7 and 7. The median is the mean of these two numbers.

`Median=(7+7)/(2)=(14)/(2)=7`

The mode is the number that is most repeated number in the set. The numbers 7 and 11 are repeated twice. Hence, the modes are 7 and 11.

Answer 2

Mean 7.4

Median 7

Mode 7, 11

Explanation:

Let me know if this is correct!