Splash Screen. Lesson Menu Five-Minute Check (over Lesson 8–1) Main Idea and Vocabulary Key Concept: Mean Example 1:Find the Mean Key Concept: Median.

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Mean, Median, Mode, and Range

Measures of Central Tendency

Class Greeting.

Presentation transcript:

Splash Screen

Lesson Menu Five-Minute Check (over Lesson 8–1) Main Idea and Vocabulary Key Concept: Mean Example 1:Find the Mean Key Concept: Median and Mode Example 2:Find the Mean, Median, and Mode Example 3:Test Example Concept Summary: Mean, Median, and Mode Example 4:Choose Mean, Median, or Mode

Main Idea/Vocabulary Mean: The mean of a set of data is the sum divided by the number of items in the data set. Median: The median is the middle number of the ordered data, or the mean of the middle 2 numbers. Mode: The mode of a set of data is the number/numbers that occur the most often. Measures of Central Tendency: Can be used to describe the center of the data. Describe a set of data using mean, median, mode, and range.

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Example 1 Find the Mean ANIMALS The table below shows the number of species of animals found at 30 major zoos across the United States. Find the mean. Source: The World Almanac

Example 1 Find the Mean sum of data number of data items Answer: The mean number of species of animals is Add. = Divide.

1.A 2.B 3.C 4.D Example 1 SLEEP The table below shows the results of a survey of 15 middle school students concerning the number of hours of sleep they typically get each night. Find the mean. A.4 hr B.7.13 hr C.7.5 hr D.8.25 hr

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Example 2 Find the Mean, Median, and Mode OLYMPICS The table below shows the number of gold medals won by each country participating in the 2006 Winter Olympic games. Find the mean, median, and mode of the data.

Example 2 Find the Mean, Median, and Mode mode:number appearing most often, or 0 Answer: mean: 3.23; median: 2; mode: 0

1.A 2.B 3.C 4.D Example 2 A.mean: 0.78; median: 1.5; mode: 0 B.mean: 1.44; median: 1.5; mode: 5 C.mean: 1.44; median: 1; mode: 0 D.mean: 0.78; median: 1; mode: 0 PETS The table below shows the number of pets students in an art class at Green Hills Middle School have at home. Find the mean, median, and mode of the data.

Example 3 The average weight in pounds of several breeds of dogs is listed below. 15, 45, 26, 55, 15, 30 If the average weight of the Golden Retriever, 70, is added to this list, which of the following statements would be true? AThe mode would increase. BThe median would decrease. CThe median would increase. DThe mean would decrease.

Example 3 Read the Item You are asked to identify which statement would be true if the data value 70 was added to the data set. Solve the Item Use number sense to eliminate possibilities. The mode, 15, will remain unchanged since the new data value occurs only once. So, eliminate choice A. Since the new data value is greater than each value in the data set, neither the mean nor the median will decrease. So, eliminate choices B and D. Answer: So, the answer is C.

1.A 2.B 3.C 4.D Example 3 A.The mean would decrease. B.The mode would decrease. C.The median would stay the same. D.The mean would increase. If the average weight of a Chihuahua is added to the list in Example 3, which of the following statements would be true?

CS

Example 4 FIRST FAMILIES The line plot shows the number of children of United States presidents. Would the mean, median, or mode best represent the number of children? Choose Mean, Median, or Mode

Example 4 mode: 2 Answer: The mean, median, and mode are close, with values of 3.6, 3, and 2, respectively. Any of the three could be used to represent the data. Choose Mean, Median, or Mode

1.A 2.B 3.C 4.D Example 4 A.mean B.median C.mode D.any of the three SIBLINGS The line plot below shows the number of siblings of each student in a particular classroom. Would the mean, median, or mode best represent the number of siblings?

End of the Lesson

Resources Five-Minute Check (over Lesson 8–1) Image Bank Math Tools Line Plots

1.A 2.B 3.C 4.D Five Minute Check 1 (over Lesson 8-1) Draw a line plot for the set of data. The line plot shows the number of students in each classroom throughout the school. What is the most common class size? Using the line plot, state the gap.

1.A 2.B 3.C 4.D Five Minute Check 1 (over Lesson 8-1) Which choice shows a line plot for the set of data? A. B. C. D.

1.A 2.B 3.C 4.D Five Minute Check 2 A.25 B.20 C.15 D.5 The line plot shows the number of students in each classroom throughout the school. What is the most common class size? (over Lesson 8-1)

1.A 2.B 3.C 4.D Five Minute Check 3 A.5–13 B.14–20 C.31–25 D.25–30 Using the line plot, state which of the following describes a gap. (over Lesson 8-1)

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