Question

Find the mean, median and mode of the following data: 

10, 13, 6, 11, 10, 6, 7, 10, 8

Answer 1

Given: 10, 13, 6, 11, 10, 6, 7, 10, 8

Step-wise calculation:

1. Arrange in ascending order: 6, 6, 7, 8, 10, 10, 10, 11, 13.

2. Count: n = 9.   ...(Odd)

3. Mean:

Sum = 6 + 6 + 7 + 8 + 10 + 10 + 10 + 11 + 13 = 81.

Mean = `81/9` = 9.

4. Median:

Middle position = `(n + 1)/2`

= `(9 + 1)/2`

= 5

⇒ 5th value in the sorted list = 10.

Median = 10.

5. Mode:

Frequencies: 6 appears 2 times, 10 appears 3 times, others appear once.

Mode = 10   ...(Most frequent)

Mean = 9, Median = 10, Mode = 10.