Mean = Sum of the numbers / Total count of numbers
Mean = 1104 / 15
Mean ≈ 73.6
Median:
To find the median, you need to arrange the numbers in ascending order and find the middle value. If there are an odd number of values, the median is the middle number. If there are an even number of values, the median is the average of the two middle numbers.
Answers & Comments
To find the mean, median, and mode of the given set of numbers:
Mean:
To find the mean, you need to sum up all the numbers and divide the sum by the total count of numbers.
Sum of the numbers = 70 + 74 + 71 + 73 + 75 + 80 + 83 + 81 + 75 + 86 + 30 + 80 + 78 + 85 + 83 = 1104
Total count of numbers = 15
Mean = Sum of the numbers / Total count of numbers
Mean = 1104 / 15
Mean ≈ 73.6
Median:
To find the median, you need to arrange the numbers in ascending order and find the middle value. If there are an odd number of values, the median is the middle number. If there are an even number of values, the median is the average of the two middle numbers.
Arranging the numbers in ascending order: 30, 70, 71, 73, 74, 75, 75, 78, 80, 80, 81, 83, 83, 85, 86
There are 15 numbers, so the median is the 8th number, which is 78.
Mode:
The mode is the value(s) that appear most frequently in the given set of numbers.
In the given set, the numbers 75 and 83 appear most frequently, each occurring twice. Therefore, the mode is 75 and 83.
Summary:
Mean ≈ 73.6
Median = 78
Mode = 75, 83