Warmup Define. 1.mean 2.median 3.mode 4.range 5.maximum 6.minimum.
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Transcript of Warmup Define. 1.mean 2.median 3.mode 4.range 5.maximum 6.minimum.
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Warmup
Define.
1. mean
2. median
3. mode
4. range
5. maximum
6. minimum
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Lesson 11 Measures of Central Tendency
Objective #2: Calculate measures of central tendency (mean, median, and mode).– Mean (a.k.a “average”): Add and Divide
– Median (a.k.a “middle”): Order and pick middle #
– Mode (a.k.a “most”): Find number repeated the most
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ANSWERSDefine each of the following terms.1. mean average
2. median middle of a group when put in sequential order
3. mode most frequently occurring
4. range maximum minus the minimum
5. maximum highest value
6. minimum lowest value
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Video Lessons
Ten Marks (Scroll down to the video screen for central tendency.)
Khan Academy Video
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Process
Mean
Step 1 – Add up all of the numbers given.
Step 2 – Divide the sum by the total number of numbers added.
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Process
Median
Step 1 – Put numbers in order from least to greatest.
Step 2 – Locate the middle number– If there is an exact middle number, that is the median.
– If there are two numbers in the middle, add them together and divide by 2. (Find their mean)
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Process
Range
Step 1 – Locate largest and smallest number
Step 2 – Subtract smaller number from larger number (biggest number minus smallest number.)
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EXAMPLE 2Identify the minimum, maximum, range, and median for Dallas and Houston for the number of months having less than 3.5” rainfall.
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Seven students in the seventh grade took a quiz. They scored the following:
30, 30, 24, 24, 27, 37, 24.
1. To find the mean, add all of the numbers, then divide by number of addends. (number of numbers added)
24 + 24 + 24 + 27 + 30 + 30 + 37 = 196
196 ÷ 7 = 28
The mean is 28 points.
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Seven students in the seventh grade took a quiz. They scored the following:
30, 30, 24, 24, 27, 37, 24.
2. To find the median, arrange that data in order from least to greatest, then find the middle number.
24, 24, 24, 27, 30, 30, 37
The median is 27.
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Seven students in the seventh grade took a quiz. They scored the following:
30, 30, 24, 24, 27, 37, 24.
3. To find the mode, find the number that occurs most often.
The mode is 24.
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Seven students in the seventh grade took a quiz. They scored the following:
30, 30, 24, 24, 27, 37, 24.
4. To find the range, subtract the greatest number and the least number. This will show the spread of the data.
37 – 24 = 13
The range is 13 points.
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Find the mean, median, and mode(s) of the data.
8, 12, 15, 17, 18, 26
186, 144, 201, 164, 182, 164
ANSWER 16, 16, no mode
ANSWER 173.50, 173, 164
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ANSWER about $17.71
The monthly charge for seven dial-up internet service providers are listed. What is the mean price? $10, $22, $17, $11, $16, $23, $25
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Find the mean, median, mode, range, maximum, and minimum of each set.
1. {1, 2, 2, 3, 4, 5, 11}
2. {7, 6, 1, 7, 4}
3. {7, 10, 3, 2, 5, 12}
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Find the mean, median, mode, range, maximum, and minimum of each set.
1. {1, 2, 2, 3, 4, 5, 11}mean:4 median:3 mode:2 range:10 maximum:11 minimum:1
2. {7, 6, 1, 7, 4}mean:5 median:6 mode:7 range:6 maximum:7 minimum:1
3. {7, 10, 3, 2, 5, 12}mean:6.5 median:6 mode:none range:10 maximum:12 minimum:2
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Extending the Learning
How will new values affect the measures of central tendency?
Select your numbers and show the measures.