Question

What are the mean, median, and mode for the following data set?

15, 34, 78, 90, 100, 75, 87, 71, 75, 78, 82, 90, 94, 78

Answer 1

Order the number:
15,34,71,75,75,78,78,78,82,90,90,94,100
Mode:78
Mean≈74.8
Median:78 is your final answer. Hope it help!

Answer 2

Mean=74.78

Median=78

Mode=78

Explanation:

1. First order the data set from the from least to greatest:

15 34 71 75 75 78 78 78 82 87 90 90 94 100

2. To find the mean, add all the numbers and divide the result by the number of data.

`x=(15+34+71+75+75+78+78+78+82+87+90+90+94+100)/(14)`

`x=(1047)/(14)`

3. Since you have an even data set, to find the median you take the two values of the middle of the data set and find the average between them:

`median=(78+78)/(2)`

`median=(156)/(2)`

`median=78`

4. The mode is the most repeated value, in this case, value 78 is repeated 3 times so this value is the mode of the data set.