I don’t understand this Algebra question and need help to study.

## Question 1 (5 points)

*For each situation, make a tree diagram or table to show the sample space. Then give the total number of outcomes.*

picking a number from 1 to 4 and choosing the color red, green, or yellow

## Question 2 (5 points)

List all of the possible outcomes using the table below.

Skirt |
Color |

skirt 1 |
white |

skirt 2 |
black |

## Question 3 (5 points)

*Find the mode of each set of data.*

33, 19, 15, 39, 39, 34, 24, 29

## Question 4 (5 points)

*Find the interquartile range of the data.*

68, 82, 44, 79, 94, 60, 78, 70, 59

## Question 5 (5 points)

Winona’s bowling scores for the past nine weeks are 195, 180, 195, 212, 208, 231, 179, 246, and 195. Find the mean, median, and mode. Round to the nearest tenth, if necessary.

## Question 6 (5 points)

The frequency table shows Sam’s record in swimming.

Year |
Number of medals |

2008 |
6 |

2009 |
4 |

2010 |
1 |

2012 |
7 |

2013 |
4 |

Based on this record, what is the probability of picking up a medal won by him in the years 2009 or 2012.

## Question 7 (5 points)

The table shows the price of admission at eight theaters.

Theater Admission Prices ($) |
|||

5.00 |
7.50 |
8.25 |
8.00 |

9.75 |
10.25 |
11.00 |
10.75 |

Find the mean absolute deviation of admission prices. Round to the nearest hundredth if necessary.

## Question 8 (5 points)

*Identify the sample as biased or unbiased and describe its type.*

John wanted to know about the popularity of a particular movie. He surveyed 20% of the people in 5 different theaters.

## Question 9 (5 points)

The table shows the high temperatures for two different cities over the past 10 days.

High Temperatures (°F) |
||||||||||

Lewistown |
64 |
65 |
65 |
66 |
68 |
69 |
70 |
71 |
73 |
74 |

Hamersville |
55 |
63 |
65 |
67 |
67 |
68 |
68 |
68 |
70 |
71 |

Compare the ranges in temperature for the cities.

## Question 10 (5 points)

Nina’s quiz scores for the quarter are 90, 79, 5, 84, 95, 81, 87, and 94. Which measure of central tendency best represents the data shown in the table and why?

## Question 11 (5 points)

Lionel is apartment hunting. He makes a table of prospective apartment choices.

Apartment Rental Prices | |

Apartment Choice | Price per Month ($) |

1 | 630 |

2 | 755 |

3 | 675 |

4 | 765 |

5 | 690 |

6 | 680 |

7 | 675 |

Which measure of central tendency best represents the data shown in the table and why?

## Question 12 (5 points)

How Often We Check Email |

According to the graph, out of 2500 people, how many would you expect check email daily?

## Question 13 (5 points)

*Identify the sample as biased or unbiased and describe its type.*

To determine whether students would choose engineering as their profession, equal number of boys and girls were surveyed in a school.

## Question 14 (5 points)

The table shows the number of points scored by each team in a tournament.

Number of Points Scored |
|||

12 |
25 |
16 |
20 |

31 |
16 |
19 |
22 |

Find the mean absolute deviation of the number of points scored. Round to the nearest hundredth if necessary.

## Question 15 (5 points)

*Find the probability.*

A bag of sweets contains 20 gummy bears and 35 orange slices. One sweet is taken at random from the bag. Find*P*(gummy bear).

## Question 16 (5 points)

*Find the range for the set of data.*

101, 72, 115, 114, 117, 56, 101, 68, 111, 58, 51, 51, 90

## Question 17 (5 points)

*Find the probability.*

A marble is randomly selected from a bag containing 15 black, 12 white, and 6 clear marbles. Find*P*(not clear). Round to the nearest percent if necessary.

## Question 18 (5 points)

*Find the median, first quartile, third quartile, interquartile range, and any outliers for each set of data.*

111, 68, 93, 88, 74, 152, 119, 87, 88, 105, 84, 102, 151, 115, 112

## Question 19 (5 points)

*For the following exercises, use the chart below. It shows the percent of consumers who prefer each brand of paper towel.*

Paper Towel |
Number of Responses |

Thirsty |
49 |

Clean |
24 |

Strong Ones |
15 |

PowerWash |
12 |

Predict how many consumers prefer PowerWash paper towels from a group of 195?

## Question 20 (5 points)

*Find the median, first quartile, third quartile, interquartile range, and any outliers for each set of data.*

14.6, 28.1, 3.9, 7.1, 5.3, 30.9, 2.8, 6.5, 20.8, 16.4, 16.4, 27.1, 53.5, 12.5, 6.1