Question

Find the mean,median ,and mode of the following set of data Weight of the 7 fish that were caught (lbs) are: 12,3,7,8,9,12,10

Answer 1

Given:

The data values are:

12, 3, 7, 8, 9, 12, 10

To find:

The mean,median ,and mode for the given set of date.

Solution:

We have,

12, 3, 7, 8, 9, 12, 10

Arrange the values in ascending order.

3, 7, 8, 9, 10, 12, 12

Mean of the data set is:

$\text{Mean}=\dfrac{\text{Sum of observations}}{\text{Number of observations}}$

$\text{Mean}=\dfrac{3+7+8+9+10+12+12}{7}$

$\text{Mean}=\dfrac{61}{7}$

$\text{Mean}\approx 8.7143$

Number of observations is 7 which is an odd number. So, the median is:

$Median=\dfrac{n+1}{2}\text{th term}$

$Median=\dfrac{7+1}{2}\text{th term}$

$Median=\dfrac{8}{2}\text{th term}$

$Median=4\text{th term}$

The 4th term from the arranged data set is 9.

$Median=9$

Here, the most frequent number is 12 because it occurs 2 times. So, the mode of the data set is 12.

Therefore, the mean of the data set is 8.7143, median is 9 and mode is 12.