Central Tendency Print Activity
Use the “Explore It” mode to answer the following questions:
1. Use the diagram below to answer the following questions:
- The graph represents the heights of a collection of ____ artifacts.
(7/8/9)
- The Range in the heights of the artifacts is 9 – 1 = m.
- The Range is defined as the ______height – ______height.
(largest/smallest) (largest/smallest)
- The ______represents the average height of the artifacts.
(mean/median/mode)
- The Mean is defined as ____sum_____ = ______= .
- In the diagram above, the heights have been arranged in ______order.
(ascending/descending)
- The Median is the value that represents the ______height
(beginning/middle/end)
when the heights are arranged in order.
h. The Median heightfor this data is .
i. The Modes are the values that occur ______often in a set of data.
(least/most)
- The value of the heights that occurs most often are and .
2. Use the data in the diagram below to answer the following questions:
a.The graph represents the ______of ______artifacts.
(length/width/height) (2/5/10)
- The range of lengths is – = m.
c. The mean length = ______= ______= .
d. The lengths arranged in ascending order are ____, ____, ____, ____, ____.
- The median length is .
f. This data has ______.
(2 modes/no modes)
3.Use the data table below to answer the following questions:
- The data represents the ______of the artifacts.
(length/width/height)
- The range for the widths is – = m.
c. The mean width is _____ = .
d.When the data is arranged in ascending order, the middle 2 widths are
and .
- When there is an ______number of data values, the median is found by (even/odd)
arranging the data in order and averaging the 2 data values in the middle.
- The median width for this example is .
4.Use the data table below to answer the following questions:
- There are data values in the data table.
- The range in height is – = .
c. The mean height is ____ .
d.When the heights are arranged in order, the middle 2 heights are and
e. The median height is .
- The most frequent heights of the artifacts are and and these values represent the ______.
(mean/median/mode)
- The data table below represents a list of Amy’s math quiz marks.
a. Input Amy’s marks into the data table on your screen.
Data Table:
b. Using the information on your screen, draw and include ALL labels on the bar graph below.
Graph:
c.The graph displays the math quiz marks for different math topics.
d.The quizzes are graded as a mark out of .
e.Amy achieved the highest quiz mark on the topic of.
f.The lowest mark Amy achieved on any quiz was out of 10.
g.The range of Amy’s marks was – = .
h.The average mark was _____ = .
i.The middle values when the marks are arranged in order are and .
j.The median mark is .
k.The most frequent marks Amy received were ______.
l.Did Amy achieve a passing average on these math quizzes? _____
(yes/no)
6.A favorite music survey was conducted with students.
Use the data table and graph below to answer the following questions:
Data Table:Graph:
a. The horizontal axis displays different types of music on the graph.
b. The vertical axis defines the ______or number of students that chose each music type.
- The number of students who chose country as their favorite was .
- The number of students who chose either pop rock or heavy metal was .
- The music type with the lowest frequency was ______.
- The total number of students participating in the music survey was .
- Of the 3 measures of central tendency, the ______have
(mean/median/mode) meaning in this data set.
- Explain why.
______
______
______
______
7. Match the following terms with their correct definition:
- Mean ____ the data value that occurs most often.
b. Median____ the difference between the largest and smallest data values.
c. Mode____ the sum of the data divided by the number of data values.
d. Range____ the value that represents the middle when data is arranged in
order.
Junior High Math Interactives Page 1 of 7
2006 Alberta Education (
Statistics and Probability/ Central Tendency / Object Interactive / Print Activity