Question

The mean of median and mode of the data 7, 6, 7, 9, 8, 8, 10, 8 is
1. 5.5
2. 8
3. 8.5
4. 9

Answer 1

Correct Answer - Option 2 : 8

Given:

Data = {7, 6, 7, 9, 8, 8, 10, 8}

Number of terms = 8

Concept used:

Mode is the most repeated value in a data

If the total number of observations (n) is an odd number,

Median = (n +1)/2th term

If the total number of observations (n) is an even number,

Median = {(n/2)th term + [(n/2) + 1]th term}/2

Mean = (Median + Mode)/2

Calculations:

Arranging the terms in ascending order,

6, 7, 7, 8, 8, 8, 9, 10

Most repeated term in the data = 8 (3 times)

Mode = 8

Median = (4^th term + 5^th term)/2

⇒ (8 + 8)/2

⇒ 8

Mean = (8 + 8)/2

⇒ 8

∴ The mean of mode and median is 8