AlgebraName ______

Unit 6: Describing DataUnit Test Review

1.The data set below gives the number of homeruns by each player of the Greyhound’s baseball team

during a single season:

124181651520119861519

Find the following summary statistics:

  1. Mean
  1. Mean Absolute Deviation
  1. Median
  1. Interquartile Range
  1. Draw the Box and Whisker Plot:
  1. Are there any outliers in this data?
  1. Which measures of center and spread would be most appropriate for describing this data?

Explain your reasoning.

2.Will played the bonus round of a certain game-show 30 times. Each time, he recorded how long it

took him to guess the phrase (to the nearest second). The following are the lengths of time it took

him to guess each phrase correctly:

10, 11, 11, 12, 12, 13, 13, 14, 15, 15, 17, 19, 21, 24, 24, 24, 24, 26, 28, 31, 33, 33, 34, 35, 35, 37, 37,

39, 39, 40

Maggie played the same bonus rounds, and she also recorded her times.

The following are the lengths of time it took her to guess each phrase correctly:

12, 12, 12, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17,

18, 18, 55

  1. Graph the two distributions below using a dotplot for each.

Will

Maggie

  1. Calculate the appropriate measure of center for each set of data
  1. Calculate the appropriate measure of spread for each set of data
  1. Use these measures of center and spread to conclude who performed better in the bonus rounds. Justify your conclusion

3.The following Box and Whisker represents 144 data points.

  1. Identify the 5 number summary values and the Interquartile Range
  1. Approximately how many points are greater than 38?
  1. How many data points are at least 31?
  1. How many data points were no more than 32?

4.Describe the correlation represented in each scenario

a.b.c.

  1. The amount of time a student sleeps in class and their grade in that class
  1. The temperature outside getting warmer and the number of minutes kids play outside.

5.In the above scenarios, are we able to make any conclusions regarding whether one variable causes

the increase/decrease in the other variable? Explain why or why not.

6.Find the correlation coefficient (r) for each set of data, and use its value to describe the correlation

  1. (-5, 6)(0, 2)(4, -1)(-2, 2)(5, 1)

(1, 0.5)(-3, 5)(2, 3) (-1.5, 3.5)(3, 0)

  1. c.

7.Find the equation of the regression model for each set of linear data

x / -3 / -2.5 / -2 / -1.75 / -1.5 / -1 / -0.5 / 0 / 0.5 / 0.75 / 1 / 1.5
y / 0.25 / 0.5 / 1 / 1.5 / 1.25 / 2 / 2.5 / 2.5 / 3 / 3.2 / 3.5 / 3.75

8. After a recent math test, the teacher took a survey of the students in class, and asked them to be honest about how many hours they actually studied for the test. The results are recorded in the table below:

Hours Studied / 4 / 2 / 7 / 3 / 2.5 / 9 / 1 / 6.5
Score
on Test / 73 / 64 / 81 / 88 / 55 / 96 / 62 / 85
  1. According to the trend represented by this data, if a student had scored a 78 on the test, approximately how many hours had they studied?
  1. If a student had studied for 8 hours and 15 minutes, then what score could he/she have expected to achieve on the test?

9.Find the equation of the regression model for each set of exponential data

x / 0.5 / 1 / 1.25 / 2.75 / 3 / 4 / 4.5 / 5.25
y / 1.1547 / / 0.5066 / 0.0975 / / / 0.0143 / 0.0063

10. Find the equation of the regression model for each set of quadratic data.

a.

b.

11. For each set of data, decide which model best fits the data and write regression model.

  1. Linear, exponential or quadratic? ______

x / 15 / 42 / 53 / 9 / 2 / 31 / 16 / 20 / 12 / 40 / 5 / 60
y / 22 / 25 / 38 / 40 / 60 / 10.7 / 10 / 25.8 / 15 / 23 / 55 / 65

Model? ______

  1. Linear, exponential or quadratic? ______

x / 2 / 1 / 7 / 4.5 / 3.25 / 8 / 9.5 / 5.75 / 0.25 / 3 / 6.75 / 10
y / 6.75 / 4.5 / 51.26 / 18.6 / 11.2 / 76.9 / 141.25 / 30.9 / 3.3 / 10.125 / 46.3 / 173

Model? ______

12.As part of their AP Statistics class, a group of students conducted a survey of 200 people in the

Cafeteria, for which they asked members of each class whether or not they liked the food being

served. A portion of the results are recorded below.

Freshmen / Sophomores / Juniors / Seniors / TOTAL
Liked the food / 26 / 25 / 3 / 84
Did not like
the food / 12 / 26
TOTAL / 55
  1. Fill in the missing values of the table
  1. What are the marginal frequencies?
  1. What are the joint frequencies?
  1. What percentage of freshmen do not like the food?
  1. What percentage of students that like the food are juniors?
  1. What is the relative frequency of sophomores that do not like the food to all students that do not

like the food?

  1. What is the relative frequency of seniors that like the food to all seniors?
  1. Construct a relative frequency table for the data

Freshmen / Sophomores / Juniors / Seniors / TOTAL
Liked the food
Did not like
the food
TOTAL