What is the mean of the mode and median of the given data 5 4 6 9 3 2 5 6 7 8 9 5 7 3 ........

Quantitative Aptitude (MTS) Statistics

What is the mean of the mode and median of the given data?

5, 4, 6, 9, 3, 2, 5, 6, 7, 8, 9, 5, 7, 3

This questions was previously asked in

SSC MTS 26th October 2021 Shift-2

5.25

5.50

To solve the problem, we need to calculate the mode, median, and then find their mean:

- List Numbers: 2, 3, 3, 4, 5, 5, 5, 6, 6, 7, 7, 8, 9, 9.

- Mode: Most frequent number = 5.

- Median: Middle value in the sorted list. As there are 14 numbers, median is the average of the 7th and 8th numbers.

- 7th and 8th numbers are both 5 and 6.

- Median = (5 + 6) / 2 = 5.5.

- Mean of Mode and Median: (5 + 5.5) / 2 = 5.25.

- Option 1: 5

- Option 2: 5.25 ()

- Option 3: 5.50

- Option 4: 6

Thus, the correct answer is option 2, 5.25.

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