Warm Up Problem Rectangle QRST has vertices Q(3, 2), R(3, 8), S(7, 8), and T(7, 2). What is the perimeter of rectangle QRST?

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Presentation transcript:

Warm Up Problem Rectangle QRST has vertices Q(3, 2), R(3, 8), S(7, 8), and T(7, 2). What is the perimeter of rectangle QRST?

Median and Mode Lesson 11-2

Objectives I can find and interpret the median and mode of a set of data. I can define median and mode.

Vocabulary measures of center – describe the center in a set of data (mean, median, and mode) median – the middle number (or mean of the 2 middle numbers) when the data is arranged from least to greatest mode – the number that occurs most often

Example 1 The list shows the number of monkeys at eleven different zoos. Find the median and mode of the data. Order the data from least to greatest. 12, 16, 18, 18, 25, 28, 30, 34, 36, 42, 44 The median is 28 monkeys. The mode is 18 monkeys.

Example 2 Dina recorded her scores on 7 tests in the list below. Find the median and mode of the data. Order the data from least to greatest. 85, 88, 90, 93, 93, 94, 97 The median is a score of 93. The mode is a score of 93.

Got It? 1. The list shows the number of stories in the 11 tallest buildings in Springfield. Find the median and mode of the data set. 40, 38, 40, 37, 33, 30, 20, 24, 21, 17, 19

Example 3 Find the median and mode of the temperatures displayed in the graph. List the data in order from least to greatest. 55.8, 58.2, 64.4, 71.2 There are 2 numbers in the middle, so you have to find the mean of those two numbers. 58.2+64.4 2 = 122.6 2 The median is 61.3℉. There is no mode.

Example 4 Miguel researched the average precipitation in several states. Find and compare the median and mode of the average precipitation. 32.8, 42.2, 42.2, 48.9, 50.7, 54.5, 58.3, 60.1 Median: 𝟒𝟖.𝟗 + 𝟓𝟎.𝟕 𝟐 = 𝟗𝟔.𝟔 𝟐 49.8 inches Mode: 42.2 inches The median is 7.6 inches greater than the mode.

Got It? 2. Find the median and mode of the costs in the table. 3. Find and compare the median and mode of the costs in the table.

Example 5 The list shows daily high temperatures. Describe the daily high temperatures using the measures of center. 72℉, 73℉, 67℉, 65℉, 71℉, 64℉, 71℉ Mean: 72 + 73 + 67 + 65 + 71 + 64 + 71 7 =𝟔𝟗 Median: 64, 65, 67, 71, 71, 72, 73 Mode: 71 The median and mode are equal at 71 degrees. They are both 2 degrees greater than the mean.

Got It? 4. Describe the daily high temperatures using the measures of center.

Homework Hints: #2. The data is just the y-axis. 8, 10, 15, 12, 11, 8, 6