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Angela scores 17, 19, 13, 24, and 14 points in the first five games of a seven-game basketball season. If the scoring leader in Angela’s league averages 18 points per game, how many points must Angela score in the final two games combined to end the season with the highest scoring average in the league AND have a higher scoring average than any other player?
32
34
37
39
40
Explanation
Since a given player’s scoring average can be determined by dividing the sum total of points scored by the number of games, we can determine the total points of the scoring leader by multiplying the average points per game by the total number of games. 18 x 7 = 126. Angela would have to score 1 more point than the current scoring leader. Angela’s current total is 87 points; therefore, she must score 40 (87 + 40 = 127) over the course of the final two games to have the highest average points per game in the league.
Angela scores 17, 19, 13, 24, and 14 points in the first five games of a seven-game basketball season. If the scoring leader in Angela’s league averages 18 points per game, how many points must Angela score in the final two games combined to end the season with the highest scoring average in the league AND have a higher scoring average than any other player?
32
34
37
39
40
Explanation
Since a given player’s scoring average can be determined by dividing the sum total of points scored by the number of games, we can determine the total points of the scoring leader by multiplying the average points per game by the total number of games. 18 x 7 = 126. Angela would have to score 1 more point than the current scoring leader. Angela’s current total is 87 points; therefore, she must score 40 (87 + 40 = 127) over the course of the final two games to have the highest average points per game in the league.
Angela scores 17, 19, 13, 24, and 14 points in the first five games of a seven-game basketball season. If the scoring leader in Angela’s league averages 18 points per game, how many points must Angela score in the final two games combined to end the season with the highest scoring average in the league AND have a higher scoring average than any other player?
32
34
37
39
40
Explanation
Since a given player’s scoring average can be determined by dividing the sum total of points scored by the number of games, we can determine the total points of the scoring leader by multiplying the average points per game by the total number of games. 18 x 7 = 126. Angela would have to score 1 more point than the current scoring leader. Angela’s current total is 87 points; therefore, she must score 40 (87 + 40 = 127) over the course of the final two games to have the highest average points per game in the league.
Find the arithmetic mean of this set of data:
{0, 0, 0, 0, 1, 5}
0
1
3
5
4
Explanation
The sum of all the terms is 6. The number of terms in the set is 6. 6/6 = 1
Find the arithmetic mean of this set of data:
{0, 0, 0, 0, 1, 5}
0
1
3
5
4
Explanation
The sum of all the terms is 6. The number of terms in the set is 6. 6/6 = 1
Find the arithmetic mean of this set of data:
{0, 0, 0, 0, 1, 5}
0
1
3
5
4
Explanation
The sum of all the terms is 6. The number of terms in the set is 6. 6/6 = 1
Find the range of the following set of numbers:
Explanation
Range is the difference between the largest number in the set and the smallest number in the set. Our largest number in the set is 
Find the range of the following set of numbers:
Explanation
Range is the difference between the largest number in the set and the smallest number in the set. Our largest number in the set is
Find the range of the following set of numbers:
Explanation
Range is the difference between the largest number in the set and the smallest number in the set. Our largest number in the set is
Greg got an average of 93 on his test scores this semester. He got a 92, 93, and 97 on the first three tests. If he received the same score on each of his last three tests, what was his score on each of these tests?
92
92.33
90.5
89
94
Explanation
We can set up an equation (92 + 93 + 97 + 3x)/6 = 93. Solving for x yields 92.