Question

What is the mode, median, and mean of 3, 12, 11, 7, 5, 5, 6, 4, 10?

Answer 1

Mode is `5`, median is `6` and mean is `7`.

Explanation:

Let us write the given data points in increasing order. These are

`{3,4,5,5,6,7,10,11,12}`

Now mode is the data point which appears most time and it is clearly `5`.

Median is the data point which appears exactly in the center when data is arranged in increasing order. As there are `9` data points already arranged in increasing order, median is the value of middle i.e `5^(th)` data point (equal to `(9+1)/2=5`. Hence median is `6`.

Mean is the arithmetic average which is `1/9(3+4+5+5+6+7+10+11+12)=1/9xx63=7`

Hence, Mode is `5`, median is `6` and mean is `7`.