Answer
Question 5
Option D is correct.
Median = 7 and Mean = 5.93
Question 7
Option C is correct.
Median = 8 and Mean = 8
Step-by-step explanation
Median
The median is the variable that falls in the middle of the distribution when all the variables are arranged either in ascending or descending order.
So, to obtain the median for this, we have to find the middle game per world series for this.
Game pWS | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15
Games | 7 | 7 | 4 | 7 | 7 | 4 | 7 | 4 | 5 | 6 | 7 | 6 | 4 | 7 | 7
Arranging the games in ascending order
4, 4, 4, 4, 5, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7
For 15 series, the median will be the middle 8th variable.
Median = 7 games
The mean is the average of the distribution. It is obtained mathematically as the sum of variables divided by the number of variables.
Mean = (Σx)/N
x = each variable
Σx = Sum of the variables
N = number of variables
Σx = 7 + 7 + 4 + 7 + 7 + 4 + 7 + 4 + 5 + 6 + 7 + 6 + 4 + 7 + 7 = 89
N = 15
Mean = (Σx)/N
Mean = (89/15)
Mean = 5.93
Question 7
Woman | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14
Size | 7.5 | 8 | 6.5 | 8.5 | 8.5 | 8.5 | 7.5 | 6.5 | 9 | 8 | 8.5 | 7.5 | 10 | 7.5
Arranging the sizes in ascending order
6.5, 6.5, 7.5, 7.5, 7.5, 7.5, 8, 8, 8.5, 8.5, 8.5, 8.5, 9, 10
Middle number will be between the 7th and 8th variable
7th variable = 8
8th variable = 8
Median = (8 + 8)/2 = (16/2) = 8
Σx = 7.5 + 8 + 6.5 + 8.5 + 8.5 + 8.5 + 8.5 + 7.5 + 6.5 + 9 + 8 + 8.5 + 7.5 + 10 + 7.5 = 112
N = 14
Mean = (Σx)/N
Mean = (112/14)
Mean = 8
Hope this Helps!!!