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Find the mean of median and mode of the given data.

23, 26, 22, 24, 22, 29, 24,  23, 22


1. 22.5
2. 25.5
3. 27.5
4. 30.5

1 Answer

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Best answer
Correct Answer - Option 1 : 22.5

Formula Used:

Mean = Sum of all observation/Number of observation

Calculation:

Median:

Ascending order:

22 ,22, 22, 23, 23, 24, 24, 26, 29

⇒ The middle value is 23 so, the median is 23.

Mode:

Observation Frequency
22 3
23 2
24 2
26 1
29 1
Total  9

⇒ 22 is repeating maximum time so, the mode is 22.

Mean:

Mean = (Median + Mode)/2

⇒ Mean = (23 + 22)/2

⇒ Mean = 22.5

∴ The mean of median and mode is 22.5

The correct option is 1 i.e. 22.5

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