Question

Find the mean median and mode of the set of data 10,11,4,7,12,11,16,6,9,15

Answer 1

Mean is the average. The mean is 10.1

Median is the middle. The median is 10.5

Mode is the most of a number. The mode is 11

Answer 2

Mean = 10.1

Median = 10.5

Mode = 11

Explanation:

We are given a set of data: 10,11,4,7,12,11,16,6,9,15

First we arrange into ascending order.

4, 6, 7, 9, 10, 11, 11, 12, 15, 16

`\text{Mean}=\frac{\text{Sum of all observation}}{\text{Number of Data}}`

`\text{Mean}=(4+6+7+9+10+11+11+12+15+16)/(10)=(101)/(10)=10.1`

Thus, The mean of given data is 10.1

Number of data is even.

Possible median:
`(n)/(2)\text{ and }(n)/(2)+1` where, n=10

`5^(th)\text{ and }6^(th)` of the arranged data would be median.

Median: 10 and 11

Average of median
`\Rightarrow (10+11)/(2)=10.5`

Thus, The median of given data is 10.5

Mode: It is maximum repeated number of data set.

In the given data set, 11 repeated two times.

Thus, The mode the given data is 11