Measures of Central Tendency (Mean, Median, Mode, Range)
Finding the Missing Value Given Average and ALL Values
Finding the Missing Value Given Average and Previous Average
Using Frequency Tables
100
Find the mean for the following data:
16, 18, 11, 16, 11, 17, 15, 16
15
100
The known side lengths of a heptagon (a 7-sided figure) are 6, 11, 13, 12, 15, and 16 centimeters. What is measure of the seventh side if the average of the side lengths is 12 centimeters?
11 centimeters
100
Chuck has an average of 83% after his first six tests. How many points must he score on the next test to reach his goal of an 85%?
97%
100
SIBLINGS FREQUENCY
0 1
1 4
2 6
3 4
4 2
5 1
What is the mode?
2 siblings
200
Find the median for the following data:
5, -4, 5, 7, -10, -7, 2, 7
3.5
200
The Indians softball team wants to average scoring 8 runs per game. They have played 5 games so far and have scored 6, 5, 10, 11, and 9 runs. How many runs must they score in the sixth game to have an average of 8 runs per game?
7 runs
200
You have purchased 5 Christmas presents so far and have spent an average of $26.50 per gift. What can you spend on the next gift if your budget allows $25.00 per gift?
$17.50
200
SIBLINGS FREQUENCY
0 1
1 4
2 6
3 4
4 2
5 1
What is the range?
5 siblings
300
Determine the mean, median, mode, and range for the following data:
-7, -3, -9, -2, -9, -4, -1, -7, -3, -4, -6
Mean = -5
Median = -4
Mode = -9, -7, -4, and -3
Range = 8
300
Sunil wants to earn an 88% in her Chemistry class. She has one quiz left to take. So far she received a 74%, 92%, 83%, 98%, 100%. What must she score on the next quiz to get the 88% she wants?
81%
300
The Milwaukee Bucks have set a goal to score an average of 100 points in each game this season. If they have scored an average of 98.3 points per game in the last ten games, how many points must the Bucks score in the next game to meet their goal?
117 points
300
SIBLINGS FREQUENCY
0 1
1 4
2 6
3 4
4 2
5 1
What is the median?
2 siblings (between the 9th and 10th daa values)
400
A business owner of a clothing store will see the profit fluctuate each day. The following data set shows the daily profit for one week. Find the mean, median, mode, and range:
$153.12, $-211.50, $236.15, $79.02, $38.36
Mean = $59.03
Median = $79.02
Mode = none
Range = $447.65
400
Jordan has scored 159, 182, 225, 240, 198, 200, and 230 in each of his bowling games so far. What must he score in the next game to have an average of 205?
206
400
The average of 18 numbers is 218.45. When a number is added to the list, the new average is 220.5. What is the value of the number that was added to the list?
257.4
400
SIBLINGS FREQUENCY
0 1
1 4
2 6
3 4
4 2
5 1
What is the mean? (round to the nearest tenth)
2.3 siblings
500
At a school several teachers were holding a contest to see which class could earn the most trivia points. Mr.Sherry’s class scored 94 points. Mr. Schraeder’s class earned 92 points. Mrs. Kirt’s class earned 85 and Mrs. Beaty’s class earned 94. Determine the mean (rounded to the nearest tenth), median, mode and range of the number of points scored.
Mean = 91.3
Median: 93
Mode: 94
Range: 9
500
The following set of numbers has a mean of 6.8: {6.3, 7.1, 3.5, 8.6, 10.2, 11.5, 5.6, 8.8, x}. What is the value of x?
x = -0.4
500
At the end of the semester your ROPES average is 65%. You have completed a total of eight ROPES. Your teacher drops the lowest score and your average is now a 71.4%. To the nearest whole number, what was your lowest score?