The mean of median and mode of the data 7, 6, 7, 9, 8, 8, 10, 8 is1. 5

1.	The mean of median and mode of the data 7, 6, 7, 9, 8, 8, 10, 8 is1. 5.52. 83. 8.54. 9
Answer» 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

The mean of median and mode of the data 7, 6, 7, 9, 8, 8, 10, 8 is1. 5.52. 83. 8.54. 9

Answer» 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

Discussion

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