Summarize the center of the data set below by determining the mean.
18, 20, 24, 26, 32
The mean of the data set is 24.
Find the total surface area in square units of the figure below by creating a net.
A rectangular prism with length of 5 inches, width of 4 inches, and height of 3 inches.
To find the surface area of a rectangular prism, we need to find the area of each face and add them up.
First, we draw a net of the rectangular prism, which gives us:
```
_____
/| /|
/_|___/ |
| | |
| | | 5
| | |
| | |
|______|/
3 4
```
From the net, we can see that there are two faces with dimensions 5 x 3 (the top and bottom), two faces with dimensions 4 x 3 (the left and right sides), and two faces with dimensions 5 x 4 (the front and back).
So, the surface area can be found by:
Surface area = 2(5 x 3) + 2(4 x 3) + 2(5 x 4)
Surface area = 30 + 24 + 40
Surface area = 94 square units
Therefore, the total surface area of the rectangular prism is 94 square units.
Summarize the center of the data set below by determining the median.
96, 98, 56, 88
To find the median of the data set, we need to arrange the numbers in order from smallest to largest:
56, 88, 96, 98
The median is the middle number in the set. Since there are four numbers in this set, we take the average of the middle two numbers:
Median = (88 + 96) / 2
Median = 92
Therefore, the median of the data set is 92.
Summarize the center of the data set below by determining the median.
20, 18, 26, 24, 32
To find the median of the data set, we need to arrange the numbers in order from smallest to largest:
18, 20, 24, 26, 32
The median is the middle number in the set. Since there are five numbers in this set, the middle number is the third number:
Median = 24
Therefore, the median of the data set is 24.
John asked the players on his hockey team their height in inches and listed the results below. What is the mean of the data set? Round to the nearest tenth when necessary.
76, 72, 70, 68, 72, 62
To find the mean of the data set, we need to add up all of the heights and then divide by the total number of players:
76 + 72 + 70 + 68 + 72 + 62 = 420 inches
There are six players in this data set, so we divide the sum by 6:
Mean = 420 / 6 = 70 inches
Rounding this to the nearest tenth gives:
Mean ≈ 70.0 inches
Therefore, the mean height of John's hockey team is approximately 70.0 inches.
Summarize the center of the data set below by determining the mean.
17, 13, 25, 41