The numbers 5 7 8 1O 12 13 and are arranged in ascending order If the mean of the numbers is equal t...........

Quantitative Aptitude (MTS) Statistics

The numbers 5, 7, 8, 1O, 12, 13 and are arranged in ascending order. If the mean of the numbers is equal to the median, the

value of N is:

This questions was previously asked in

SSC MTS 8th October 2021 Shift-1

- We need the mean and the median of these numbers to be the same.

- Given numbers: 5, 7, 8, 10, 12, 13, N.

- Median: Middle number when arranged in order.

- If N = 10, sequence: 5, 7, 8, N, 10, 12, 13 and median is N.

- If 10 < N = 12, sequence: 5, 7, 8, 10, N, 12, 13 and median is 10.

- If N > 12, sequence: 5, 7, 8, 10, 12, N, 13 and median is 12.

- Mean: Sum of numbers / 7.

- Calculate with different options for N and compare to potential median values: 10, 12, or else.

- Checking Options:

- Option 1 - N = 16: Mean = (5+7+8+10+12+13+16) / 7 = 10.14; Median is 12. ?

- Option 2 - N = 25: Mean = (5+7+8+10+12+13+25) / 7 = 11.43; Median is 12. ?

- Option 3 - N = 15: Mean = (5+7+8+10+12+13+15) / 7 = 10; Median is 10.

- Option 4 - N = 14: Mean = (5+7+8+10+12+13+14) / 7 = 9.86; Median is 12. ?

- Correct Answer: Option 3 - 15

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