Find the median and mean of the data set below:
0
,
45
,
33
,
8
,
26
,
25
,
31
To find the median, we need to list the numbers in order from least to greatest:
0, 8, 25, 26, 31, 33, 45
There are 7 numbers in the data set, so the median is the fourth number, which is 26.
To find the mean, we add up all of the numbers and divide by the total number of numbers:
(0 + 45 + 33 + 8 + 26 + 25 + 31) / 7 = 168 / 7 = 24
So the mean of the data set is 24.
Find the median and mean of the data set below:
21
,
50
,
34
,
18
,
48
,
37
,
23
To find the median, we need to list the numbers in order from least to greatest:
18, 21, 23, 34, 37, 48, 50
There are 7 numbers in the data set, so the median is the fourth number, which is 34.
To find the mean, we add up all of the numbers and divide by the total number of numbers:
(21 + 50 + 34 + 18 + 48 + 37 + 23) / 7 = 231 / 7 = 33
So the mean of the data set is 33.
Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 20 cards, which was 25% of the cards sold for Mother's Day. How many cards were sold for Mother's Day?
Let's use variable "x" to represent the total number of cards sold for Mother's Day.
According to the problem, one salesman sold 25% of the cards, or 0.25x. And we know that this is equal to 20 cards, so:
0.25x = 20
To solve for x, we can divide both sides by 0.25:
x = 20 / 0.25
x = 80
Therefore, a total of 80 cards were sold for Mother's Day.
The table displays the scores of students on a recent exam. Find the mean of the scores to the nearest 10th.
Score Number of Students
55
55
8
8
60
60
5
5
65
65
4
4
70
70
8
8
75
75
2
2
80
80
4
4
85
85
1
1
90
90
7
7
To find the mean, we need to multiply each score by the number of students who received that score, add up all of those products, and then divide by the total number of students. We can create a third column to represent the product of score and number of students:
Score Number of Students Product
55 2 110
8 2 16
60 2 120
5 2 10
65 2 130
70 8 560
75 2 150
80 4 320
85 1 85
90 7 630
To find the sum of all the products, we add up the numbers in the Product column:
110 + 16 + 120 + 10 + 130 + 560 + 150 + 320 + 85 + 630 = 2151
To find the total number of students, we add up the numbers in the Number of Students column:
2 + 2 + 2 + 2 + 2 + 8 + 2 + 4 + 1 + 7 = 30
Finally, we divide the sum of the products by the total number of students:
2151 / 30 = 71.7
Rounding this to the nearest tenth, the mean score is 71.7.