Question

How do you find the mean, median, and mode of the data set: 15, 13, 9, 9, 7, 1, 11, 10, 13, 1, 13?

Answer 1

The mean is the average, equal to `"Sum of all the data"/"Number of Data Points"`.

The median is the central number of a set ordered least to greatest.

The mode is the number that appears most frequently.

Explanation:

Mean:

Sum of all the data:
`15+13+9+9+7+1+11+10+13+1+13=102`

Number of data points: `11`

`102/11 = 9.272727... or 9 3/11`

Median:

The data set in order:
`1,1,7,9,9,10,11,13,13,13,15`

Cross out outer ones until you fine the middle:
`cancel(1),1,7,9,9,10,11,13,13,13,cancel(15`
`cancel(1),cancel(1),7,9,9,10,11,13,13,cancel(13),cancel(15`
`cancel(1),cancel(1),cancel(7),9,9,10,11,13,cancel(13),cancel(13),cancel(15`
`cancel(1),cancel(1),cancel(7),cancel(9),9,10,11,cancel(13),cancel(13),cancel(13),cancel(15`
`cancel(1),cancel(1),cancel(7),cancel(9),cancel(9),`10,`cancel(11),cancel(13),cancel(13),cancel(13),cancel(15`

Median = 10

Mode:

The number 13 appears 3 times, which is more than any other number.

Mode: 13