Answer:
(a) The difference is 5
(b) No mode
(c) [tex]Median =15[/tex]
Step-by-step explanation:
Given
The above data
Solving (a): Difference in their range
Range is calculated as:
[tex]Range = Highest - Lowest[/tex]
For last year:
[tex]R_1 = 29 - 6 = 23[/tex]
For 2 years ago
[tex]R_2 = 25 - 7 =18[/tex]
The difference is:
[tex]R = R_1 - R_2 = 23 - 18[/tex]
[tex]R = 5[/tex]
Solving (b): The modal of last year
This is the entry with the highest frequency
From "last year" data, each of the entry has a frequency of 1.
This implies that there is no mode
Solving (c): Median of last 2 years
First, arrange in ascending order
[tex]Sorted: 7, 9,10, 11 ,12,13 ,17,18,20 ,23 ,25 ,25[/tex]
The median is then calculated as:
[tex]Median = \frac{n+1}{2}th[/tex]
[tex]Median = \frac{12+1}{2}th[/tex]
[tex]Median = \frac{13}{2}th[/tex]
[tex]Median = 6.5th[/tex]
This means that we calculate the average of the 6th and 7th entry
[tex]Median = \frac{1}{2} * (13 + 17)[/tex]
[tex]Median = \frac{1}{2} * 30[/tex]
[tex]Median =15[/tex]
