

Measures of Central Tendency
Presentation
•
Mathematics
•
7th - 10th Grade
•
Medium
+7
Standards-aligned
K'Yana McLean
Used 547+ times
FREE Resource
7 Slides • 13 Questions
1
Measures of Central Tendency

2
Multiple Choice
Bell Ringer!!!
A system of equations is shown below.
x + 7y = 23
3x + 14y = 48
What is the value of x + y in the solution to the system?
5
1
-1
-5
3
Measures of Central Tendency Overview
Mean: average for a set of data.
Median: The middle value for a data set listed in order.
Mode: The most frequently occurring value(s) in a set of data.
Range: The difference between the highest and lowest values in a set of data.
Outlier: The value(s) that is very different from the rest of the data in a set. (The asterisk(s) shown on the calculator screen.)
4
Finding our measures of central tendency
5
Multiple Choice
Find the median, mode and range:
3, 5, 7, 9, 11, 8, 3
median:7 mode:3 range:10
median:6 mode:3 range:7
median:7 mode:3 range:8
6
Multiple Choice
In which dataset is the median value equal to the mean value?
{2, 4, 6, 7, 8}
{12, 18, 20, 23, 24}
{16, 17, 18, 19, 20}
{50, 60, 65, 75, 85}
7
Multiple Choice
Bell Ringer!!!
A bookstore sells used books. (Make a chart or write two equations!)
Paperback books cost $1.00.
Hardback books sell for $5.00.
The store sold 100 books and made $260 from the sale.
How many paperback books did the store sell?
20
40
60
80
8
Suppose you scored an 83%, 74%, 95% and 76% on your last four math tests. If you want to earn an 85% in the class, what must you get on your next math test?
9
Multiple Choice
Paulo got these markers in three tests: 72, 80 and 82. He had one more test to sit. He wanted an average of 80 for the four tests. What mark must he get in the fourth test?
78
80
84
86
10
Multiple Choice
The heights of six students in a class are given below:
158cm 172cm 164cm
164cm 167cm 159cm
However, there were actually seven students in the class, and the mean height in the class was 165 cm. What was the height of the unknown student?
164 cm
166 cm
171 cm
169 cm
11
Multiple Choice
12
Open Ended
Suppose you scored a 99%, 67%, 83% and 86% on your last four science tests. If your next test counts twice, is it possible to average a 90%? Explain your answer.
13
Open Ended
You and your friend have a friendly competition going on about the scores on your math quizzes. Both of your scores for the first five quizzes are given below. Find the mean, median and mode of both sets of data.
Your scores: 18, 16, 19, 15, 17 Mean: ____ Med: ____ Mode: _____
Friend’s scores: 20, 20, 13, 12, 17 Mean: ____ Med: ____ Mode: ____
Do you or your friend have the higher mean? __________
Who has the highest median? __________
14
Boxplots
15
16
17
Multiple Choice
What was the lowest score?
20
30
39
40
18
Multiple Choice
What was the median score?
39
50
55
16
19
Multiple Choice
What is the lower quartile?
39
40
35
50
20
Multiple Choice
What is the upper quartile?
39
50
55
68
Measures of Central Tendency

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