Compound Probability, Measures of Center, Two-Way Tables

A standard die is rolled then a coin is tossed. Calculate the probability that the result an odd number and tails.

P(odd number then tails) =

Mathematical Equivalence

ON

There are 4 red, 8 blue, 2 green, and 6 yellow paperclips in a jar.

A paperclip is drawn, replaced, then another paperclip is drawn.

Find the probability that neither paper clip is red.

P(neither is red) =

Mathematical Equivalence

ON

A piggy bank contains 15 pennies, 5 nickels, 18 dimes, and 12 quarters.

A coin is chosen at random, replaced, then another is chosen.

Find the probability that both coins chosen are worth at least 5 cents.

P(both coins worth at least 5¢) =

Mathematical Equivalence

ON

Match the following vocabulary with the definitions

• Measures of Central Tendency

• a value that describes the center or middle of a data set

• Mode

• the difference between the largest and smallest values in a data set

• Median

• the most frequently occurring value(s)

• Range

• the average of values, sum of all values divided by how many values

• Mean

• the middle value, when the data is ordered from least to greatest

Find the mean, median, mode(s), and range of the data set.

Round to the nearest tenth when necessary.

The weight of each person on a wrestling team:

[150, 177, 205, 163, 172, 190, 186, 168, 155]

Mean: ​ (a)  

Median: ​ (b)  

Mode(s): ​ (c)  

Range: ​ (d)  

• 173
• 174
• 172
• None
• 175
• 50
• 5
• 55
• 0

A data value that is much larger or much smaller than the other data values is a(n) _______.

• Minimum

• Maximum

• Outlier

• Interquartile

• Anomaly

Choosing the Best Center

Match the circumstances within the data set to determine which measure of central tendency would be the most appropriate.

• Mean

• There are no outliers

• Mode

• The data has many repeated values or

  The data is qualitative (categorical)

• Median

• There are outliers or

  The middle of the data does not contain big gaps

The table below shows the results from a survey where students were asked if they play an instrument and if they play a sport. Find the sums of each row and each columns

a

d

g

e

f

14

75

65

56

5

52

33

9

23

42

Adam surveyed 120 random students in his school and asked them if they plan to attend the school musical. Of the 80 students who responded that they are attending the musical, 15 are seventh graders. Of the 40 sixth grade students surveyed, 13 said they do not plan on going. Only 10 eighth graders surveyed do not plan on attending the musical. The table shown gives the survey results.

Find the missing quantities in each row and each column, then find the relative frequencies using the data. Round to the nearest hundredth if necessary.

• 33.33%

• What percent of the students are not going to the musical?

• 35%

• What percent of the students are 7th graders not going to the musical?

• 22.5%

• What percent of the students surveyed were 8th graders?

• 40%

• What percent of students are going to the musical but are not 8th graders?

• 14%

• What percent of the students are 6th graders going to the musical?

A table that displays two categories of data collected from the same source is a ​ (a)   .

The values in each category divided by the total number of values is the ​ (b)   .

• two-way table
• relative frequency
• outlier
• mean
• median
• mode
• range
• compound probability