Answer:
a) Mean Calculation: Mean = 4.1
b) Determining Mode: There will be two modes: 3 and 4
c) Determining Median: Median<em>= 3.5</em>
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
<u>a) Mean Calculation:</u>
As the miles data is shown as:
2, 5, 4, 1, 3, 12, 4, 3, 3, 4
<em>Adding up all the numbers and then dividing the sum by the total number of values would give us the mean value:</em>
Mean =
= 4.1
<u>b) Determining Mode:</u>
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
<u>c) Determining Median:</u>
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
<em>Median = The average of two middle numbers or values ÷ 2</em>
<em> = </em>
<em> = 3.5</em>
<u>d) Determining Range:</u>
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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