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Lesson Menu Five-Minute Check (over Lesson 2–6) Main Idea and Vocabulary Key Concept: Median, Mode Example 1:Find the Median and the Mode Example 2:Find the Range Example 3:Find Mean, Median, Mode, and Range Example 4:Use Mean, Median, Mode, and Range

Main Idea/Vocabulary measures of central tendency median mode range Find and interpret the median, mode, and range of a set of data.

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Example 1 Find the Median and the Mode NUTRITION The table shows the Calorie content of various vegetables. Find the median and the mode of the data.

Example 1 Find the Median and the Mode Order the data from least to greatest. Answer: The median is 28 Calories. The mode is 15 and 25 Calories. There is an even number of data values. So, to find the median, find the mean of the two middle numbers. mode: 5, 15, 15, 20, 25, 25, 31, 35, 40, 50, 55, 85 median: 5, 15, 15, 20, 25, 25, 31, 35, 40, 50, 55, and 25 occur most often. There are two modes.

1.A 2.B 3.C 4.D Example 1 A.21.25; 19 B.19; C.19; 19.5 D.19.5; 19 COLLEGE The table shows the ages of students in a science class at a local community college. Find the median and the mode of the data.

Example 2 Find the Range TEMPERATURE The high temperatures for Las Vegas last week were 65°, 68°, 72°, 65°, 80°, 55°, and 65°. Find the range of the data. Then write a sentence describing how the data vary. Answer:So, the range is 80° – 55° or 25°. The range tells us that the data are fairly closely grouped together. The highest temperature is 80°. The lowest temperature is 55°.

1.A 2.B 3.C 4.D Example 2 A.49; The data are fairly spread out. B.29; The data are fairly close in value. C.29; The data are spread out. D.49; The data are not very spread out. GYMS The number of people attending a gym class Monday through Saturday were 25, 74, 48, 32, 61, and 54. Find the range of the data. Then write a sentence describing how the data vary.

Example 3 CLIMATE Find the mean, median, mode, and range of the wind speeds displayed in the bar graph. Find Mean, Median, Mode, and Range There is an even number of data values. So, to find the median, find the mean of the two middle numbers. median: 5, 10, 10, 13, 13, 15

Example 3 mode: 10 mph, 13 mph range: 15 – 5 = 10 mph Answer: mean: 11 mph, median: 11.5 mph, mode: 10 and 13 mph, range: 10 mph Find Mean, Median, Mode, and Range

1.A 2.B 3.C 4.D Example 3 A.17; 13; 10; 18 B.18; 13; 23; 13 C.18; 17; none; 4 D.17; 18; none; 13 SCIENCE Find the mean, median, mode, and range of the data shown in the bar graph.

Example 4 The table shows the number of hot dogs eaten by each contestant at a hot dog eating contest. Which statement is supported by the data in the table? AIf the number of hot dogs eaten were distributed equally among all the contestants,each player would have eaten 39 hot dogs. BHalf the contestants ate more than 20 hot dogs and half ate less than 20 hot dogs. CThe most frequent number of hot dogs eaten was 22. DThe range of the numbers of hot dogs eaten is not very spread out. Use Mean, Median, Mode, and Range

Example 4 Read the Item The answer choices refer to the mean, median, mode, and range. median:10, 15, 18, 19, 20, 22, 22, 22, 23, 25, 29, 29, 32, 37, 49 Solve the Item Find the mean, median, mode, and range. mode:22 range:49 – 10 = 39 Use Mean, Median, Mode, and Range

Example 4 Determine which measure is referred to in each answer choice. Choice A refers to the mean, but the correct mean is 24.8, not 39. Choice B refers to the median, but the correct median is 22, not 20. Choice C refers to the mode, which is 22. Choice D refers to the range, but the range of 39 is spread out. Answer: C Use Mean, Median, Mode, and Range

1.A 2.B 3.C 4.D Example 4 A.Half the cities have more than 50 days of precipitation and half have less than 50 days of precipitation. B.If the number of days of precipitation were distributed equally among all the cities, each city would have 51 days of precipitation. C.The range of the numbers of days of precipitation is not very spread out. D.Most of the cities have 36 days of precipitation. The table shows the average annual number of days of precipitation for selected cities in the Southwest. Which statement is supported by the data in the table?

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Resources Five-Minute Check (over Lesson 2–6) Image Bank Math Tools Construct a Stem-and-Leaf Plot Making Predictions from Graphs

1.A 2.B 3.C 4.D Five Minute Check 1 (over Lesson 2-6) A.4 books B.5 books C.6 books D.7 books Find the mean of the data represented in the model.

1.A 2.B 3.C 4.D Five Minute Check 2 (over Lesson 2-6) A.6 T-Shirts B.7 T-Shirts C.8 T-Shirts D.9 T-Shirts Find the mean of the data represented in the model.

1.A 2.B 3.C 4.D Five Minute Check 3 (over Lesson 2-6) A.$10 B.$12 C.$15 D.$25 Pedro earned $12, $10, $14, $11, $15, $35, $10, and $13 for mowing lawns over the summer. What is the mean of the amounts he earned?

1.A 2.B 3.C 4.D Five Minute Check 4 (over Lesson 2-6) A.$10 B.$15 C.$25 D.$35 Pedro earned $12, $10, $14, $11, $15, $35, $10, and $13 for mowing lawns over the summer. Identify the outlier(s).

1.A 2.B 3.C 4.D Five Minute Check 5 (over Lesson 2-6) A.The outlier causes the mean to be higher than almost all the values of the data set. B.The outlier causes the mean to be lower than almost all the values of the data set. C.The outlier causes the mean to be the same as the range of the data. D.The outlier does not affect the mean of the data. Pedro earned $12, $10, $14, $11, $15, $35, $10, and $13 for mowing lawns over the summer. How does the outlier(s) affect the mean of the data?

1.A 2.B 3.C 4.D Five Minute Check 5 (over Lesson 2-6) A.$9 B.$12 C.$14 D.$18 Jasmine bought five purses last year. They cost $13, $18, $9, $12, and $18. What is the mean amount of money Jasmine spent on purses last year?

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