Measures of Central Tendency and Dispersion of Grouped Data

The number of pages that Mikayla wrote in her journal each day from Monday to Friday is shown below:

9, 8, 12, 6, 10

What is the mean number of pages she wrote per day?

• 5

• 6

• 9

• 11

At Camden's Donuts the number of donut holes in a bag can vary. Help Camden find the mode of the number of donut holes per bag described in the sample below:

12, 10, 10, 10, 13, 12, 11, 13, 10, 12, 13

• 13

• 12

• 11

• 10

On a container ship there were 30 small containers that each weighed 3 tons, 20 medium containers that each weighed 5 tons, and 10 large containers that each weighed 8 tons.

Find the mean weight of the containers on this ship.

• 4.5 tons

• 4 tons

• 5 tons

• 5.5 tons

Zerek bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is Zerek's median score?

• 127

• 155

• 156

• 193

Match the following

• Used as a way to so much the values in a data set vary.

• Mean

• The difference between the Maximum and Minimum value

• Mode

• Best when there are NO outliers

• Mean Absolute Deviation

• Best when 1 number appears frequently

• Median

• Best when there is an outlier and not big gaps

• Range

Which of the following best describes the process of finding the interquartile range for a set of data?

• Add the biggest and smallest numbers.

• Place the numbers in order from least to greatest and find the middle.

• Find the difference between the maximum and the minimum.

• Subtract Q1 from Q3.

Ms. Becker records the number of times each student in her class has visited the Science Museum. Based on the responses, she calculates the mean, median, and range of the data set. Ms. Becker's entire class then goes on a field trip to the Science Museum. She updates the data set to include the field trip to the Science Museum. Select words or phrases to complete the statements to describe the impact of the changes. The mean of the data set​ (a)   , the median of the data set​ (b)   , and the range of the data set​ (c)  

• increases

• also increases

• stays the same

• decreases

• also decreases

• also stays the same

Which of the following is true concerning the mean absolute deviation of a set of data?

• It describes the variation of the data values around the median.

• It describes the absolute value of the mean.

• It describes the average distance between each data value and the mean.

• It describes the variation of the data values around the mode.

DATA ANALYSIS : AVERAGE (add up the values, divide by how many!...) : Exact MIDDLE data value (or average of two middle values) : MOST often occurring value (might be more than one mode) : HIGH minus LOW (span) : Lower and Upper is the MIDDLE of the LOWER HALF of the data is the MIDDLE of the LOWER HALF of the data is the MIDDLE of the LOWER HALF of the data

• MEAN

• MEDIAN

• MODE

• RANGE

• QUARTILES

Use the data to fill in the blanks. 7, 9, 5, 4, 10, 5, 12, 3 ​ (a)   is the median. ​ (b)   is the range. ​ (c)   is the mode. ​ (d)   is the mean rounded to the nearest whole number.

• 6

• 9

• 5

• 7

• 10

• 8

• 12

• 4