Answer:
a) Mean Calculation: Mean = 4.1
b) Determining Mode: There will be two modes: 3 and 4
c) Determining Median: Median= 3.5
d) Determining Range: The range is 11
Step-by-step explanation:
The Table for Freddy's Miles:
Date Miles
24-Sep 2
25-Sep 5
26-Sep 4
27-Sep 1
28-Sep 3
29-Sep 12
30-Sep 4
1-Oct 3
2-Oct 3
3-Oct 4
a) Mean Calculation:
As the miles data is shown as:
2, 5, 4, 1, 3, 12, 4, 3, 3, 4
Adding up all the numbers and then dividing the sum by the total number of values would give us the mean value:
Mean = [tex]Mean = \frac{2 + 5 + 4 + 1 + 3 + 12 + 4 + 3 + 3 + 4}{10}[/tex]
[tex]= \frac{41}{10}[/tex]
= 4.1
b) Determining Mode:
As the miles data is shown as:
2, 5, 4, 1, 3, 12, 4, 3, 3, 4
Putting the number in order:
1, 2, 3, 3, 3, 4, 4, 4, 5, 12
As it is clear than 3 appears three times, as does 4.
Hence, there will be two modes: 3 and 4
c) Determining Median:
As the miles data is shown as:
2, 5, 4, 1, 3, 12, 4, 3, 3, 4
Putting the number in a order (from smallest to the largest):
1, 2, 3, 3, 3, 4, 4, 4, 5, 12
As the total number of items in the given data is an even number, we must have to take the mean of the two middle numbers:
1, 2, 3, 3, 3, 4, 4, 4, 5, 12
Median = The average of two middle numbers or values ÷ 2
= [tex]Median = \frac{3+4}{2}[/tex]
= 3.5
d) Determining Range:
As the miles data is shown as:
2, 5, 4, 1, 3, 12, 4, 3, 3, 4
Putting the number in a order (from smallest to the largest):
1, 2, 3, 3, 3, 4, 4, 4, 5, 12
The maximum value = 12
The minimum value = 1
Range = maximum value - minimum value
= 12 - 1
= 11
Keywords: mode, median, range and mean
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