Use the already filled slots in the table to calculate the values in other slots. Remember that the last row and column represents the totals.
Basketball Shots
Grade Level
Free Throws
3-Point Shots
Total
Underclassmen
18
10
28
Upperclassmen
13
19
32
Total
31
29
60
Practice makes perfect
We know that a basketball coach closely watches the shots of 60 players during basketball tryouts. To complete the two-way frequency table showing her observations, we need to recognize that the last row and the last column show totals.
Basketball Shots
Grade Level
Free Throws
3-Point Shots
Total
Underclassmen
18
28
Upperclassmen
19
Total
31
From the table above, we know that of the 28 shots done by underclassmen, 18 were free throws. Also, of the 31 free shots, 18 were shot by underclassmen. With this information, we can find the number of 3-point throws done by underclassmen, as well as the number of free throws done by upperclassmen.
3-Point Throws:& 28- 18= 10
Upperclassmen Free Throws:& 31- 18= 13
Let's write the given and the newly obtained information in our table.
Basketball Shots
Grade Level
Free Throws
3-Point Shots
Total
Underclassmen
18
10
28
Upperclassmen
13
19
Total
31
To complete the last column and row, we will calculate the sums of those rows and columns, since they represent the total values.
Shots by Upperclassmen:& 13+ 19=32
All 3-Point Shots :& 10+ 19=29
Finally, we have two ways of calculating the grand total. We can add the number of shots done by underclassmen to the number of shots done by upperclassmen, or we can add the number of free shots to the number of 3-point shots. These two numbers must be the same!
Grand total
l 28+32=60 31+29=60 ✓
Finally, we can complete our table!
