Calculate the mean, mode and median of the following set of numbers; 21,22,23,24,25,26,23,28,29,30,24,31,34,23

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Answer 1

To find the mean, mode, and median of the given set of numbers: 21, 22, 23, 24, 25, 26, 23, 28, 29, 30, 24, 31, 34, and 23.

Mean:
To find the mean (average), add up all the numbers and divide by the total count of numbers.
Sum of all numbers: 21 + 22 + 23 + 24 + 25 + 26 + 23 + 28 + 29 + 30 + 24 + 31 + 34 + 23 = 363
Total count of numbers: 14
Mean = 363/14 = 25.93 (rounded to two decimal places)

Mode:
The mode is the number(s) that appear most frequently in the set.
In this set, the number 23 appears three times, and no other number repeats more times than that. Hence, the mode is 23.

Median:
To find the median, you need to arrange the numbers in ascending order first.
21, 22, 23, 23, 23, 24, 24, 25, 26, 28, 29, 30, 31, 34
Since the total count of numbers is even (14), the median is the average of the two middle numbers.
The two middle numbers are the 7th and 8th numbers, which are 24 and 25.
Median = (24 + 25)/2 = 24.5

Therefore, the mean, mode, and median for the set of numbers are as follows:
Mean = 25.93
Mode = 23
Median = 24.5