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Mean, median, mode, range, and outliers
Mean Absolute Deviation (MAD)
Box-and-Whisker-Plots
Random Statistics Questions
Spiral Review From Other Units
100

Find the mean of the following set of data: 13, 23, 21, 20, 21, 24, 18

What is the mean is 20

100

Explain each step that you would use to find the mean absolute deviation of a data set.

What is 1.) Find the mean of your data set (add all numbers, divide by the amount of numbers in your data set). 2.) Use your quotient (mean) and subtract that number from each number in your data set (if any numbers become negative, take away the negative sign). 3.) You should have a new data set, now find the mean of your new data set (add the numbers and divide by the amount of numbers in your data set). 4.) Your quotient (mean) is your mean absolute deviation.

100

Make a box and whisker plot for the following data: 7, 1, 0, 4, 8, 3, 10

What is you should have points at the numbers: 0 (least value) 1 (lower quartile) 4 (median) 8 (upper quartile) 10 (greatest value) See example on board

100

What is the mode?

The number you see the most.

100

What is 5 squared minus 4

21

200

What is the mode: 10, 9, 4, 4, 8, 8, 8, 4, 7, 6, 11, 14, 27

What is 4 and 8

200
Find the mean absolute deviation of the following data set: 5, 6, 7, 4, 3
What is the MAD is: 1.2
200
Find the interquartile range for the data set: 12, 14, 11, 10, 9, 10, 9
What is the IQR = 3 - put the numbers in order from least to greatest - find the median - find the difference between the first quartile (9) and third quartile (12)
200

Why is the 'Mean' not recommended when there is an outlier?

The outlier causes it to be inaccurate.

200

What are two characteristics of a proportional graph?

straight and through the origin

300

Find a possible missing value in the set of data if the range is 20. 14, 8, 17, 21, ____, 11, 3, 13

What is 1 or 23

300
The number of points Maggie has scored in each of the first 5 games of the basketball season are 14, 17, 17, 13, and 34. What is the mean absolute deviation for the number of points for Maggie's first 5 games?
What is 6.
300
A solution used to kill bacteria is tested The solution kills the following percentages of bacteria in six trials: 85, 84, 87, 86, 90, 80 Use the data to make a box-and-whisker plot.
What is your box-and-whisker plot should have the following points: 80 (least value) 84 (lower quartile) 85.5 (median) 87 (upper quartile) 90 (greatest value)
300

What measure of central tendency should you use if there is an asymmetrical graph?

Median

300

-4 + -7 - 6 - (-2)=

-15

400

Frank has 3 nickels, 5 dimes, and 2 quarters. Find the mean, median, mode and range of the values of Frank's coins.

What is: mean: 11.5 cents median: 10 cents mode: 10 cents range: 20 cents

400
There are 7 animal shelters in the local area. The number of cats in each is 4, 6, 3, 7, 4, 5, and 20. What is the mean absolute deviation for the number of cats in shelters to the nearest tenth?
What is 3.7.
400

Find the interquartile range, round to the nearest tenth if necessary: 5, 2, 4, 7, 4, 4, 1

What is 3

400

What measure of central tendency should you use if there is an outlier in a data set?

Median

400

The measurement of two angles that are complementary in a ratio of 1:2

What are 30 degrees and 60 degrees

500

What is the definition of the Mean Absolute Deviation?

The average distance the data points are away from the mean.

500
Find the mean absolute deviation, round to the nearest tenth. 23, 37, 33, 39, 29, and 31
What is 4.3
500
The amount of rainfall (in inches) for each of the first 5 months of the year is 1, 3, 8, 4, and 4. What is the mean absolute deviation for the number of inches of rain for the first 5 months of the year?
What is 1.6
500

What are the steps to tell if two data sets have a meaningful difference?

1) Subtract the means

2) Double the larger MAD.

See if difference of the means is greater than MAD doubled.

500

y = 4 and c = 2 and x= 3 4x + 3c - 2y

What is 4(3) + 3(2) - 2(4) 12 + 6 - 8 18 - 8 = 10