Answer :
We are given the data set for monthly rainfall (in inches):
[tex]$$
7.6,\ 6.7,\ 8.1,\ 6.2,\ 6.0,\ 6.2
$$[/tex]
Step 1: Calculate the mean.
The mean is found by adding all the values together and then dividing by the number of values.
The sum of the data is:
[tex]$$
7.6 + 6.7 + 8.1 + 6.2 + 6.0 + 6.2 = 40.8
$$[/tex]
There are 6 data points, so the mean is:
[tex]$$
\text{Mean} = \frac{40.8}{6} = 6.8 \text{ inches}
$$[/tex]
Step 2: Calculate the median.
The median is the middle value when the data is arranged in increasing order. First, sort the list:
[tex]$$
6.0, \ 6.2, \ 6.2, \ 6.7, \ 7.6, \ 8.1
$$[/tex]
Since there are an even number of values (6 values), the median is the average of the third and fourth numbers.
The third number is [tex]$6.2$[/tex] and the fourth number is [tex]$6.7$[/tex]. Therefore, the median is:
[tex]$$
\text{Median} = \frac{6.2 + 6.7}{2} = \frac{12.9}{2} = 6.45 \text{ inches}
$$[/tex]
Final Answers:
1. Mean monthly rainfall: [tex]$6.8$[/tex] inches
2. Median rainfall amount: [tex]$6.45$[/tex] inches
[tex]$$
7.6,\ 6.7,\ 8.1,\ 6.2,\ 6.0,\ 6.2
$$[/tex]
Step 1: Calculate the mean.
The mean is found by adding all the values together and then dividing by the number of values.
The sum of the data is:
[tex]$$
7.6 + 6.7 + 8.1 + 6.2 + 6.0 + 6.2 = 40.8
$$[/tex]
There are 6 data points, so the mean is:
[tex]$$
\text{Mean} = \frac{40.8}{6} = 6.8 \text{ inches}
$$[/tex]
Step 2: Calculate the median.
The median is the middle value when the data is arranged in increasing order. First, sort the list:
[tex]$$
6.0, \ 6.2, \ 6.2, \ 6.7, \ 7.6, \ 8.1
$$[/tex]
Since there are an even number of values (6 values), the median is the average of the third and fourth numbers.
The third number is [tex]$6.2$[/tex] and the fourth number is [tex]$6.7$[/tex]. Therefore, the median is:
[tex]$$
\text{Median} = \frac{6.2 + 6.7}{2} = \frac{12.9}{2} = 6.45 \text{ inches}
$$[/tex]
Final Answers:
1. Mean monthly rainfall: [tex]$6.8$[/tex] inches
2. Median rainfall amount: [tex]$6.45$[/tex] inches
