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​Correct relation for the numbers 10, 7, 8, 5, 6, 8, 5, 8, 6 is:​
Question

Correct relation for the numbers 10, 7, 8, 5, 6, 8, 5, 8, 6 is:

A.

mean = median

B.

mean > median

C.

mean < median

D.

mean > mode

Correct option is A

Given:
Numbers: 10, 7, 8, 5, 6, 8, 5, 8, 6
Median:
Arrange in ascending order: 5, 5, 6, 6, 7, 8, 8, 8, 10
Since there are 9 numbers (odd),
Median = middle value = 5th term = 7
Mode:
Most frequent number = 8 (appears 3 times)
Mean
Mean = Sum of all observationsNumber of observationsSum = 10+7+8+5+6+8+5+8+6 = 63Number of observations = 9Mean = 639 = 7\text{Mean} \;=\; \frac{\text{Sum of all observations}}{\text{Number of observations}} \\[6pt]\text{Sum} \;=\; 10 + 7 + 8 + 5 + 6 + 8 + 5 + 8 + 6 \;=\; 63 \\[6pt]\text{Number of observations} \;=\; 9 \\[6pt]\text{Mean} \;=\; \frac{63}{9} \;=\; 7​​
From the above 
Mean = 7
Median = 7
Mode = 8
Thus: mean = median 
Correct answer is (A)

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