Answer:
1. For the median (as per the question posted): the median of Justin's earnings is more than the median of TJ's earnings
Difference = $3
2. For the mean (as per the requirement in the image): the mean of TJ's earnings is more than the mean of Justin's earnings
Difference = $4
Step-by-step explanation:
The complete question is shown in the attached image
1. The median:
- It is defined as the value found in the middle of a set of arranged data/numbers
- If the set has odd number of data, then the median is simply the middle value
- If the set has even number of data, then the median is the average of the two middle values
- To get the median, we need to first arrange the given data
a. For Justin:
He earned the following: $32, $45, $50, $33 and $50
Arranging the data: $32, $33, $45, $50 and $50
The middle value is: $45
The median is: $45
b. For TJ:
He earned the following: $58, $48, $40, $42 and $42
Arranging the data: $40, $42, $42, $48 and $58
The middle value is: $42
The median is: $42
c. Comparing the medians:
From the above, we can conclude that the median of Justin's earnings is more than the median of TJ's earnings
Difference = $45 - $42 = $3
2. The mean:
- It is defined as the average value of a set of data
- It is calculated by summing the values in the set and then dividing this sum by the number of vales in the set
a. For Justin:
He earned the following: $32, $45, $50, $33 and $50
Summing the data: $32 + $33 + $45 + $50 + $50 = 210
Number of values in the data= 5
The mean is:
b. For TJ:
He earned the following: $58, $48, $40, $42 and $42
Summing the data: $40 + $42 + $42 + $48 + $58 = $230
Number of values in the data: 5
The mean is:
c. Comparing the values:
From the above, we can conclude that the mean of TJ's earnings is more than the mean of Justin's earnings
Difference = 46 - 42 = $4
Hope this helps :)