# What is the mean, median and mode of the set of scores given below? 23, 34, 21, 30, 25, 23

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What is the mean, median and mode of the set of scores given below?

23, 34, 21, 30, 25, 23

1. 26, 24, 23
2. 23, 24, 26
3. 26, 21, 30
4. 26, 24, 30

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Correct Answer - Option 1 : 26, 24, 23

Formula used:

Mean = (Sum of all the observations)/Total number of observations.

Median =  [(n/2)th term + {(n/2)+1}th term]/2 (For even number of terms).

Mode = The number whose frequency is highest.

The given data is 23, 34, 21, 30, 25, 23.

The chronological order of the numbers will be:

21, 23, 23, 25, 30, 34.

The total numbers of terms are 6.

Mean = (21 +  23 +  23 +  25 +  30 +  34)/6.

Mean = 156/6.

Mean = 26.

Median = [(6/2)th term + {(6/2) + 1}th term]/2.

Median = [3rd term + 4th term]/2.

Median = (23 + 25)/2.

Median = 48/2.

Median = 24.

Mode: As only 23 is repeated twice which is highest.

Therefore, the mode is 23.

Therefore, the mean, median and mode are 26, 24 and 23 respectively.

Hence, the correct answer is "Option1: 26, 24, 23".