What is the mode, median and mean of

Alisa Duarte

Alisa Duarte

Answered question

2022-03-14

What is the mode, median and mean of 5, 27, 29, 13, 18, 19, 15, 19, 19, 27, 15, 22, 13, 26, 20?

Answer & Explanation

orangepaperiz7

orangepaperiz7

Beginner2022-03-15Added 9 answers

The Mean is the arithmetic average, 19.1
The Median is ([the number of data points]+1)÷2
or the PLACE value equidistant (numerically) from the range extremes in an ordered set.
This set contains 15 numbers, arranged in order as
5, 13, 13, 15, 15, 18, 19, 19, 19, 20, 22, 26, 27, 27, 29.
So the middle place is 15+12=8th position.
The number at that location is 19.
The Mode is the most common value(s) in a set. In this case it is 19, with three occurrences in the set.
The closeness of all three of these measures means that the data is 'normally distributed'.
Donovan Acevedo

Donovan Acevedo

Beginner2022-03-16Added 5 answers

A good starting place is to arrange the given values in order:
5 13 13 15 15 18 19 19 19 20 22 26 27 27 29
If you were asked the range. (which is not done in this case), it is now a simple matter to find the difference between the biggest and smallest values:
5 13 13 15 15 18 19 19 19 20 22 26 27 27 29
Range=29-5=24
The MODE is the value with the highest frequency, the one that occurs the MOST often.
Because the values are all in order, we can see that 19 occurs three times.
5 13 13 15 15 18 19 19 19 20 22 26 27 27 29
Mode = 19
The MEDIAN is the value exactly in the middle of a set of values arranged in order:
There are 15 numbers.
152=712
15=7+1+7
So count 7 from each side and the number in the middle is the median:
5, 13, 13, 15, 15, 18, 19 19 19, 20, 22, 26, 27, 27, 29
To find the MEAN (better known as the "average")
Add all the values together and divide by how many there are:
5+13+13+15+15+18+19+19+19+20+22+26+27+27+29
=287
Mean=28715=19.13
Remember that the mode, median and mean are ALL types of averages, they just give different information.

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