Chapter 12.3, Problem 1P

Find the mean, median, and mode of each data set. Explain which measure of central tendency best describes the data.

touchdowns scored:

1 3 4 4 3

To determine

Find mean , median and mode of the given data.

Answer to Problem 1P

Mean = 3

Median = 3

Mode = 3,4

Explanation of Solution

Given:

Touchdowns scored :

1,3,4,4,3

Calculation:

Arrange the given data in ascending order :

1,3,3,4,4

Mean = $\frac{sum\text{ of all the entries}}{\text{total number of entries}}=\frac{15}{5}=3$

Median = The middle entry of the data( since there are 5 entries , which is odd) = $\frac{number\text{ of entries +1}}{2}=\frac{5+1}{2}=3^{rd}$

So, median is 3^rd entry = 3

Mode = The entry that appeares maximum number of times = 3,4