Please explain and answer correctly The data to represent average test scores for a class of 24 students includes an outlier value of 89. If the mean, including the outlier of 89, equals 77, which statement is always true about the new data when the outlier is removed?
The mean would increase.
The mean would decrease.
The median would increase.
The median would decrease.

When the outlier(s) are removed, how does the mean change?
The mean decreases by 2.1.
The mean increases by 1.6.
The mean increases by 2.1.
There are no outliers.
Given the scatter plot, choose the function that best fits the data.

f(x) = 2x
f(x) = 2x
f(x) = −2x
f(x) = 2x2

Make a conditional relative frequency table for the columns of movie type. Determine which statement has the strongest association.

Do you prefer watching a comedy, a drama, or a thriller movie?
Comedy Drama Thriller Row Totals
Males 35 12 75 122
Females 46 65 18 129
Column Totals 81 77 93 251
Males prefer comedy movies.
Females prefer drama movies.
Males prefer thriller movies.
Females prefer thriller movies.
‘The following data shows the scores Gina obtained on 12 IQ tests:

93, 83, 74, 74, 83, 92, 93, 94, 90, 87, 83, 86

The box plot represents the data:

Which of the following is shown incorrectly in the box plot?
Median
Lower quartile
Upper quartile
Maximum value

The number of wins for a high school football team is measured for the season. When the team plays at home, it is generally believed that they will win. Comparing the location of the game and the number of wins, a correlation coefficient of 0.891 is calculated. What would this imply about the football team winning at home?
The scatter plot would closely resemble a straight line with a positive slope. The data has a strong, positive correlation, but causation cannot be determined.
The scatter plot would closely resemble a straight line with a positive slope. The data has a strong, positive correlation, and a causal relationship exists between the team playing at home and winning.
The scatter plot would not be represented by a line of best fit with a positive slope. There is a weak correlation between the football team playing at home and winning.
There is no causation and almost no correlation between the football team playing at home and winning.
The number of bagels sold daily for two bakeries is shown in the table:

Bakery A
Bakery B
45
48
52
42
51
25
48
45
61
57
34
10
55
43
46
46

Based on these data, is it better to describe the centers of distribution in terms of the mean or the median? Explain.
Mean for both bakeries because the data is symmetric
Median because the distribution is not symmetric for both bakeries
Mean for Bakery B because the data is symmetric; median for Bakery A because the data is not symmetric
Mean for Bakery A because the data is symmetric; median for Bakery B because the data is not symmetric
An ice cream truck sells ice cream between 2 p. m. and 10 p. m. each night in the summer. At the end of the night, the driver calculates his profits and makes a graph to analyze the data. What is the average rate of change for the data from the 5th hour to the 8th hour? Be sure to include the correct units of measurement.

7 hours
−7 dollars per hour per hour
21 dollars
−21 dollars per hour per hour

The box plots show the math scores of students in two different classes:

Based on the box plots, which statement is correct?
The median score of Class A is greater than the median score of Class B.
The lower quartile of Class A is greater than the lower quartile of Class B.
The upper quartile of Class A is greater than the upper quartile of Class B.
The maximum score of Class A is greater than the maximum score of Class B.

A study analyzed the average yearly salt intake in the United States from 2012 thru 2017. The data is summarized in the table:

Year
Annual Salt Intake
(grams)
2012
3,435
2013
3,501
2014
3,560
2015
3,626
2016
3,690
2017
3,744

The study found that the data after the year 2012 can be modeled by the function f(x) = 59.4x + 3,429, where x is the number of years since 2012 and f(x) is the total amount of salt ingested in grams. Describe the significance of 3,429.
An estimate of the average grams of salt used in 2013
An estimate of the average grams of salt used in 2012
The average amount of salt in grams used in 2013
The average amount of salt in grams used in 2012