Tell how to calculate the range.
Maximum - minimum
Largest - smallest
Name the three measures of center
Mean, Median and Mode
Given the following data set, 8, 12, 12, 15, 23
The mean is 14.
How will the mean be affectd by adding a value greater than 23? Explain.
The mean will increase because you are adding a value greater than the mean.
When given a mean and a data point, what is the first step to finding the missing data point?
Refer to your notes.
Write the number sentence for mean.
Mean = Given data point + unknown divided by
Total number of data points
What is the mean shown on this number line?
3
0 + 1 + 4 + 7 = 12 divided by 4 = 3
Tell how to calculate the mean
Add all data points then divide by the number of data points.
Average
Mean
Given the following data set: 8, 12, 12, 15, 23
The mean is 14.
How will the mean be affected by adding a value less than 8? Explain
The mean will decrease because you are adding a value less than the mean.
Given mean and a data point, what is the next step in finding the missing data point? Refer to your notes.
Substitute what you know (or given) into the number sentence.
You will have x represent the missing or unknown data point.
What is the mean?
6
2 + 4 + 7 + 8 + 9 = 30 divided by 5 = 6
Tell how to calculate the median with and odd number of data points.
Must use vocabulary words.
First, place numbers in ascending order, then alternate crossing off data points least then greatest.
The middle number
Given the following data set: 8, 12, 12, 15, 23
What numbers could be added to change the mode.
8, 15, or 23
Given one data point 54, which of the following will make the mean 80?
Show your work, no work -no points
Data point choices? 110, 106, 160
106
54 + 110 = 164 164 divided by 2 = 82 - No
54 + 106 = 160 160 divided by 2 = 80 - yes
54 + 160 = 214 214 divided by 2 = 107 - No
E
Distance on left is 3
Distance on the right is 1 + 3 = 3
Write how to calculate the median with an even number of data points.
MUST use vocabulary words.
First, place data points in ascending order. Then alternate crossing out data points least then greatest. You will have 2 data points in the middle. Find the mean of those two data points.
The most frequently occuring number
Mode
Tracy had the following quiz grades: 98, 86,90, 95.
Her next quiz she scored 80.
How will the mean be affected by adding the 80 to her grades? Show work or write explanation.
The mean decreased because you added a score less than the mean.
Given 2 data points 40 and 29, which data point would make the mean 40?
Data choices: 47, 48, 51
Show your work, no work - no points
47
Mean = 4 + 29 + x then substitute
40+ 29 + 47 = 116 116 divided by 3 = 38.6 - No
40 + 29 + 48 =117 117 divided by 3 = 39 - No
40 + 29 + 51 = 120 120 divided by 3 = 40 - Yes
2.5
the x's line up on 2 and 3
Find the median of the following data set.
90, 65, 95, 88, 88, 97
Show your work - No work, points taken away.
89
Write an example of a bimodal data set.
Answers may vary.
Given the following data set: 8, 12, 12, 15, 23
What numbers could we add or remove to change the median?
Add number greater than 12
Remove number less than 12
Given one data point 12, which data point would make the mean 36?
Data point choices: 24, 36, 60, 72
Show your work. No work- no points
60
Mean = 12 + unknown divided by 212 + 24 = 36 36 divided by 2 = 10 - No
12 + 36 = 48 48 divided by 2 = 24 - No
12 + 60 = 72 72 divided by 2 = 36 - Yes
In order for the mean to be 24, you have to add a data point to...
Point c
Left side of 23 is 9
Right side of 23 is 7
So need to add a point with a value of 2 on the right