What is the mean median and mode for the following numbers 87 75 89 81 90 73 85 96 65 92 78 79 83 85 79 90 86 72 74 88 81 85?

Answer 1

• mean

Add up the numbers and divide by how many there are:

87+75+89+81+90+73+85+96+65+92+78+79+83+85+79+90+86+72+74+88+81+85 = 1813

There are 22 numbers.

⇒ mean = 1813 ÷ 22

= 829/22

≈ 82.41

• median

Sort the numbers into order; the median is the middle number (if an odd number of numbers) or the mean of the middle two (if an even number of numbers):

Sorted: 65, 72, 73, 74, 75, 78, 79, 79, 81, 81, 83, 85, 85, 85, 86, 87, 88, 89, 90, 90, 92, 96

There are 22, so the median is the mean of the middle two which are the 11th (83) and 12th (85) numbers:

⇒ median = (83+85) ÷2

= 84

• mode

The number which appears the most often. Having sorted the list for the median, it can be seen that the one with the highest frequency appears three times:

⇒ mode = 85

Answer 2

jkdk

Answer 3

1103