LaDawn Bisson Measures of Central Tendency

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1 LaDawn Bisson 2014 Measures of Central Tendency

LaDawn Bisson 2014 Measures of central tendency: a measure used to

tendency Mean: the sum of all the data, divided by the number of

the data are arranged in order; if there are two middle numbers,

set of data (There can be more than one mode or no mode.

2 LaDawn Bisson 2014 Measures of central tendency: a measure used to describe data; the mean, median, and mode are measures of central tendency Mean: the sum of all the data, divided by the number of data (the average) Median: the middle number in a set of data when the data are arranged in order; if there are two middle numbers, add and divide by two Mode: the number that occurs most often in a set of data (There can be more than one mode or no mode.) Range: the difference between the largest number and the smallest number in a set of data

LaDawn Bisson 2014 1) 75, 52, 80, 88, 100 Mean, Median, Mode, & Range Complete each task. Round your answer to the nearest tenth if necessary.

1 7) $100, $20, $108, $701, $108, $101, $40 8) 71, 73, 74, 76, 78, 78, 79, 77, 72, 75 9) 149, 183, 149, 193, 147, 110 10) $100, $20, $108, $106, $98, $112 What number is the outlier?

3 LaDawn Bisson ) 75, 52, 80, 88, 100 Mean, Median, Mode, & Range Complete each task. Round your answer to the nearest tenth if necessary. 2) 112, 120, 114, 113, 115, 118, 113 Name Hr 3) 89, 94, 72, 54, 57, 80, 121, 96 4) 22.6, 43.8, 37.2, 14.5, 10, 14.5, 12 5) 130, 142, 134, 140, 134, 135 6) 26.7, 36.1, 29.3, 34.1, 37.4, 33.1, ) $100, $20, $108, $701, $108, $101, $40 8) 71, 73, 74, 76, 78, 78, 79, 77, 72, 75 9) 149, 183, 149, 193, 147, ) $100, $20, $108, $106, $98, $112 What number is the outlier? What is the range of the set of numbers? 11) 254, 213, 223, 200, 175, 230 between the mean and the range. 12) 85.5, 79, 81, 86.5, 82, 75, 82, 92, 86, 88 between the median and the range. 13) 90, 106, 54, 94, 110, 112, 114, 105, 110, 108 What number is the outlier? Calculate the mean without the outlier. 14) 18, 25, 26, 32, 45, 78, 41, 36 Mean: Median: between the mean and the median. 15) 123, 342, 532, 314, 134, 142, 145, 152 Mean: Range: between the range and the mean.

4 LaDawn Bisson 2014 Mean, Median, Mode, & Range Complete each task. Round your answer to the nearest tenth if necessary. Name KEY Hr 1) 75, 52, 80, 88, 100 2) 112, 120, 114, 113, 115, 118, 113 3) 89, 94, 72, 54, 57, 80, 121, 96 Mean:_79 Mode:_no mode Range:_48_Median:_80 Mean:_115 Mode: 113 Range:_8 Median:_114 Mean:_82.9 Mode:no mode_ Range:_67 Median:_84.5 4) 22.6, 43.8, 37.2, 14.5, 10, 14.5, 12 5) 130, 142, 134, 140, 134, 135 6) 26.7, 36.1, 29.3, 34.1, 37.4, 33.1, 36.1 Mean:_22.1 Mode:_14.5 Range:_33.8_ Median: 14.5_ Mean:135.8 Mode:_134 Range:_12_ Median:_134.5_ Mean:_33.3_Mode:_36.1 Range:_10.7_Median:_34.1_ 7) $100, $20, $108, $701, $108, $101, $40 8) 71, 73, 74, 76, 78, 78, 79, 77, 72, 75 9) 149, 183, 149, 193, 147, 110 Mean:_$168.3_Mode:_$108 Range:_$681_ Median:_101 Mean:_75.3_Mode:_78 Range: 8_ Median:_75.5 Mean:_155.2 Mode: 149_ Range:_83_ Median: 149_ 10) $100, $20, $108, $106, $98, $112 What number is the outlier? $20 What is the range of the set of numbers? 92 11) 254, 213, 223, 200, 175, 230 between the mean and the range. _136.8_ Mean: Range: 79 12) 85.5, 79, 81, 86.5, 82, 75, 82, 92, 86, 88 between the median and the range Meadian: 83.8 Range: 17 13) 90, 106, 54, 94, 110, 112, 114, 105, 110, ) 18, 25, 26, 32, 45, 78, 41, 36 15) 123, 342, 532, 314, 134, 142, 145, 152 What number is the outlier? _54 Calculate the mean without the outlier Mean:_37.6_ Median:_34_ between the mean and the median. 3.6 Mean: 235.5_ Range:_409_ between the range and the mean

Team R (runs) Name: Hr Take Me Out to the Ballgame! H (hits) HR (home runs) RBI (runs batted in) AVG (batting average) Colorado Rockies 82 165 15 78.286 New York Yankees 64 152 17 61.

5 Team R (runs) Name: Hr Take Me Out to the Ballgame! H (hits) HR (home runs) RBI (runs batted in) AVG (batting average) Colorado Rockies New York Yankees Miami Marlins Chicago White Sox Philadelphia Phillies Baltimore Orioles Use the information from the chart above to answer the following questions. If necessary, round your calculations to the nearest tenth. 1. Calculate the range of each statistic. a. Runs b. Hits c. Runs batted in 2. Calculate the mean, or average, of each statistic. a. Home runs b. Hits c. Runs 3. Calculate the median of each statistic. a. Hits b. Home runs c. Runs batted in 4. Using the information from #3, calculate the difference between hits and runs batted in. 5. What was the total batting average for the six teams? 6. What was the difference between the total number of hits and the total number of runs for the teams? 7. Using the data from #2, calculate the difference between the hits and the home runs. LaDawn Bisson 2014

6 Team R (runs) Take Me Out to the Ballgame! H (hits) HR (home runs) RBI (runs batted in) Name: KEY Hr AVG (batting average) Colorado Rockies New York Yankees Miami Marlins Chicago White Sox Philadelphia Phillies Baltimore Orioles Use the information from the chart above to answer the following questions. If necessary, round your calculations to the nearest tenth. 1. Calculate the range of each statistic. a. Runs_31 b. Hits_38 c. Runs batted in Calculate the mean, or average, of each statistic. a. Home runs_14.5 b. Hits_146.2 c. Runs_ Calculate the median of each statistic. a. Hits_148.5 b. Home runs_14_ c. Runs batted in_66.5_ 4. Using the information from #3, calculate the difference between hits and runs batted in What was the total batting average for the six teams? 1.626_(rounded to 1.6) 6. What was the difference between the total number of hits and the total number of runs for the teams? Using the data from #2, calculate the difference between the hits and the home runs LaDawn Bisson 2014

7 Name: Hr Measures of Central Tendency Show all necessary work on a separate sheet of paper. Round answers to the nearest tenth. 1. Daily high temperatures ( F): 25, 18, 25, 30, 33, 35, Math test scores: 85, 81, 64, 92, 100, 81, 74, 94, 53, 98 Mean: Median: Mean: Median: Mode: Range: Mode: Range: 3. Weekly babysitting earnings: $23, $25, $20, $30, $20, $35 4. Marathon times (in hours): 3.25, 4.25, 3.75, 4.5, 4.25, 3.5, 4.0, 6.5 Mean: Median: Mean: Median: Mode: Range: Mode: Range: 5. Use the data from #1. Find the difference 6. Use the data from #1. Find the difference between the median and the range. 7. Use the data from #2. Find the difference 8. Use the data from #3. Find the difference between the mean and the median. 9. Use the data from #4. Find the difference between the mode and the median. 10. Use the data from #4. Find the difference LaDawn Bisson 2014

8 Name: Key Hr Measures of Central Tendency 1. Daily high temperatures ( F): 25, 18, 25, 30, 33, 35, Math test scores: 85, 81, 64, 92, 100, 81, 74, 94, 53, 98 Mean: 28 Median: 30 Mean: 82.2 Median: 83 Mode:_25, 30_ Range: 17 Mode: 81 Range: Weekly babysitting earnings: $23, $25, $20, $30, $20, $35 4. Marathon times (in hours): 3.25, 4.25, 3.75, 4.5, 4.25, 3.5, 4.0, 6.5 Mean: 25.5 Median: 24 Mean: 4.3 Median: 4.1 Mode: 20 Range: 15 Mode: 4.3 Range: Use the data from #1. Find the difference Use the data from #1. Find the difference between the median and the range Use the data from #2. Find the difference Use the data from #3. Find the difference between the mean and the median Use the data from #4. Find the difference between the mode and the median (rounded to 0.1) 10. Use the data from #4. Find the difference 1 LaDawn Bisson 2014

9 Name Hr Measures of Central Tendency Show all necessary work on a separate sheet of paper. Round answers to the nearest tenth. 1. Jonah has 6 math quiz scores. They are: 88, 70, 83, 80, 86, 88. What is the median score? What is the mode of his quiz scores? 2. The August 1 st temperatures( F) in Durant were: 89, 94, 96, 99, 96, 97, 95, 92. What was the mean temperature for that day? 3. Sheena exercised 5 days last week. Her exercise times were: 20 min, 12 min, 18 min, 25 min, 20 min. Calculate the mean for the time Sheena spent exercising. Find the difference between the mean and the range of her exercise times. 5. What is the mean of the data set: 112, 120, 114, 113, 118, 115, 113? What is the range? 4. The top ten scores on the math test are as follows: 83, 90, 98, 96, 88, 98, 95, 97, 98, 100. What was the mode score? Find the difference between the median and the range. 6. The monthly rainfall (in inches) was as follows: 1, 0, 2, 0.5, 0.25, 3, What was the mode? What was the median? 7. Find the mean, median, mode, and range for the following data: 5, 1, 22, 18, 7, 7, 24 Mean: Median: 8. The temperatures ( F) for the week were as follows: 71, 73, 79, 78, 74, 78, 76. What was the mode of the temperatures? Mode: Range: Find the difference between the mode and the range. 9. Find the mean, median, mode, and range for the following data: $50, $35, $25, $50, $30 Mean: Mode: Median: Range: 10. Use the data from #9. Find the difference Find the difference between the mode and the median. LaDawn Bisson 2014

10 Name KEY Hr Measures of Central Tendency 1. Jonah has 6 math quiz scores. They are: 88, 70, 83, 80, 86, 88. What is the median score? 83 What is the mode of his quiz scores? The August 1 st temperatures( F) in Durant were: 89, 94, 96, 99, 96, 97, 95, 92. What was the mean temperature for that day? 94.8 F 3. Sheena exercised 5 days last week. Her exercise times were: 20 min, 12 min, 18 min, 25 min, 20 min. Calculate the mean for the time Sheena spent exercising. 19_min Find the difference between the mean and the range of her exercise times. _6 min_ 5. What is the mean of the data set: 112, 120, 114, 113, 118, 115, 113? 115 What is the range? _8 4. The top ten scores on the math test are as follows: 83, 90, 98, 96, 88, 98, 95, 97, 98, 100. What was the mode score? 98 Find the difference between the median and the range. 81 Median: 96 Range: The monthly rainfall (in inches) was as follows: 1, 0, 2, 0.5, 0.25, 3, What was the mode? _0.25 in What was the median? _0.5 in 7. Find the mean, median, mode, and range for the following data: 5, 1, 22, 18, 7, 7, 24 Mean: 12 Mode: 7 Median: 7 Range: Find the mean, median, mode, and range for the following data: $50, $35, $25, $50, $30 Mean: _$38 Mode: _$50 Median: $35 Range: $25 8. The temperatures ( F) for the week were as follows: 71, 73, 79, 78, 74, 78, 76. What was the mode of the temperatures? 78 F Find the difference between the mode and the range. 70 Mode: 78 F Range: Use the data from #9. Find the difference $13 Find the difference between the mode and the median. $15 LaDawn Bisson 2014

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