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Mean, Median, Mode, and Range

–14 + 6 2. Mean, Median, Mode, and Range. LESSON 1-10. Problem of the Day. 1. Vocabulary Review When you simplify 2 + 6 ÷ 3, which operation should you use first?. Find the value of each expression. 2. (7 + 19) ÷ 2 3. 4. – 9 + 4 • 2 –1. 1-10. Mean, Median, Mode, and Range.

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Mean, Median, Mode, and Range

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  1. –14 + 6 2 Mean, Median, Mode, and Range LESSON 1-10 Problem of the Day 1. Vocabulary Review When you simplify 2 + 6 ÷ 3, which operation should you use first? Find the value of each expression. 2. (7 + 19) ÷ 2 3. 4. –9 + 4 • 2 –1 1-10

  2. Mean, Median, Mode, and Range LESSON 1-10 Check Skills You’ll Need Solutions 1. division 2. (7 + 19) ÷ 2 = 26 ÷ 2 = 13 3. 4. –9 + 4 • 2 –1 = –9 + 8 –1 = –2 = –4 –14 + 6 2 –8 2 = 1-10

  3. Lesson 1-10 Mean, Median, Mode, and Range • These are all ways that we can draw conclusions from data. • Mean: average of all data items •  get the sum of the data, then divide by the number of items

  4. Divide the sum by the number of terms. 502 + 477 + 593 + 481 + 735 + 614 6 3,402 6 = 567 Simplify. Mean, Median, Mode, and Range LESSON 1-10 Additional Examples Find the mean of 502, 477, 593, 481, 735, and 614. Quick Check 1-10

  5. Lesson 1-10 Mean, Median, Mode, and Range • Outlier: a data item that is very different from the other data items (much higher or lower) • Outliers can result in a misleading mean • Example: • 15, 12, 14, 17, 13, 24, 12, 15 • What is the outlier?

  6. Lesson 1-10 Mean, Median, Mode, and Range • Median: the middle value in the data set • You MUST arrange the data in numerical order first • With an even number of data items, get the mean of the two middle values

  7. 18 Responses to “How many pets do you have?” 2 0 1 2 4 2 1 0 3 2 0 8 0 1 2 3 0 1 First write the data in order from least to greatest. 0 0 0 0 0 1 1 1 1 2 2 2 2 2 3 3 4 8 The two middle values are 1 and 2. = 1.5 Find the mean of the two middle values. 1 + 2 2 Mean, Median, Mode, and Range LESSON 1-10 Additional Examples Find the median of the data in the chart. The median is 1.5. Quick Check 1-10

  8. Lesson 1-10 Mean, Median, Mode, and Range • Mode: the item that occurs most frequently • You can have more than one mode. (When?) • Can you have no mode for a data set? (When?)

  9. Make a table to organize the data. 0 pet 1 pet 2 pets 3 pets 4 pets 8 pets Mean, Median, Mode, and Range LESSON 1-10 Additional Examples Find the mode of the data in the chart. 18 Responses to “How many pets do you have?” 2 0 1 2 4 2 1 0 3 2 0 8 0 1 2 3 0 1 Quick Check There are two modes, 0 and 2. 1-10

  10. Lesson 1-10 Mean, Median, Mode, and Range • Range: the difference between the greatest and least data items • Shows how spread out the data is

  11. 11 – (–7) = 11 + 7 Add the opposite of –7, which is 7. = 18 Simplify. Mean, Median, Mode, and Range LESSON 1-10 Additional Examples Temperatures one day in January ranged from – 7°F to 11°F. What was the temperature range? The temperature range was 18°F. Quick Check 1-10

  12. Mean, Median, Mode, and Range LESSON 1-10 Lesson Quiz Find the mean, median, mode, and range of each set of data. 1. 25  27  21  27   20 2. –8  –4  2  10  –10 3. 7.5  3.6  15.4  3.6  15.4 mean, 24; median, 25; mode, 27; range, 7 mean, –2; median, –4; mode, no mode; range, 20 mean, 9.1; median, 7.5; mode, 3.6 and 15.4; range, 11.8 1-10

  13. Lesson 1-10 Mean, Median, Mode, and Range • Homework: • Activity Lab 1-10 • Lesson 1-10, p. 55 #s 1-8 all; 10-22 evens; 25, 33

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