What do you mean?
Show Balance Point
Miscellaneous
I want the Mean to Be...
My Data Changed! What Happened?
100
True or False. This number line represents a set of data with a mean of 4. Show your work.
If false, state the mean.
False. The mean is 3.
100
Show your work. Slide the x's. 
13
100
The mean of the data set is 4. Sum the distances below the mean.
8
2 is 2 away from the mean
1 is 3 away from the mean (2 times)
100
In order for the mean to be 4, can I add an x only to point 5? Yes or No? Show your work AND explain.
Yes. The sum of the distances above the mean and below the mean would then be 8.
100
See the following data set:
4, 6, 6, 4, 3, 3, 3, 4, 3
How does the median change if you add a 2 to the data set. Show your work.
Median _______ New Median _________
The median decreases from 4 to 3.5
200
True or false. The number line represents a set of data with a mean of 5. Show your work.
If false, state the mean.
True.
200
Show your work. Slide the x's.
3
200
The mean of the data set is 4. True or false. The sum of the distances above the mean and the sum of the distances below the mean DO NOT equal.
Show your work. Explain.
False, they both equal 8.
200
One data point is 22, which data point would make the mean 25?
26, 27, 28, 30
28
22 + 28 = 50
50 / 2 =25
200
See the following data set.
4, 6, 6, 4, 3, 3, 3, 4, 3
What happens to the mean if you remove a 4 from the data set? Show your work.
Mean: ________ New Mean _________
The mean stays the same.
300
True or false. The number line represents a set of data with a mean of 6. Show your work.
If false, state the mean.
True.
300
True or False. When showing mean as balance point on a line plot, if all the x's don't line up over one number, you did something wrong. Explain.
False. When all x's don't line up over one number, that just shows that the mean is not an integer.
300
I want the mean to be point 4. Name 1 point I could add an x to balance the distribution of the data set.
Point 5
Sum of distances below mean is 8, above the mean is 7 - Need to add an x that is 1 away.300
We want the mean to be at Point D. What 1 point could we add to make D the balance point? Show your work & explain.
Add x at Point C.
300
See the following data set.
4, 6, 6, 4, 3, 3, 3, 4, 3
What happens to the mode when you change a 6 to a 4. Show your work.
Mode _________ New Mode __________
The data set now has two modes, 3 and 4.
400
True or False. The number line represents a set of data with a mean of 3. Show your work.
If false, state the mean.
False, the mean is 4.
400
Show your work.
4
400
True or false. Mean, median, mode and range are all measures of center.
If false, how could this be made into a true statement.
Write your answer.
False. Answers may vary.
Mean, Median and mode are all measures of center. Range is a measure of variability.
400
One data point is 15. Which data point would make the mean 20?
20, 25, or 35
25
15 + 25 = 40
40 / 2 = 20
400
Westhaven Elementary has an average class size of 23 students. Write a number that would cause the average class size to increase. Show work or explain
Answers may vary. Any number greater than 23.
Example: 23 + 27 = 50 50/2 = 25 25 is greater than 23
Example 2: During our investigations, we found that if you added a number greater than the mean, the mean increased.
500
True or False. The letter D represents the balance point for this set of data. Show your work.
If false, state the letter that represents the balance point.
False. The letter E represents the balance point.
500
Show your work. Slide the x's.
2
500
Which measure of center is most appropriate for this data set? Explain why.
21, 23, 15, 18, 71, 26, 24, 19, 16
Median, because you have an outlier of 71.
500
Two data points are 42 and 26. Which point will make the mean 30?
31, 43, 22
22
42 + 26 + 22 = 90
90/3 = 30
500
Kayla recorded her quiz grades for math class. Her scores for four quizzes are shown. 98, 86, 92, 95.
She then received a 70 on her fifth quiz.
Would it be better for Kayla's grade if the teacher used Kayla's new mean or the new median? Show your work and explain.
New Mean _________ New Median _______
The mean of new grade is 88.2.
The median of new grade is 92.
It would be better for Kayla's grade if the median were used. The media would give a higher grade.