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Practice - General Statistics (Level B)
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Practice Page
Directions: Read carefully.

1.
The 4-legged Market sells everything relating to dogs, cats and horses. The store offers weekly specials, and wants to estimate the percentage of their customers who buy the specials. A random sample of 150 customers who buy horse feed over a 6 month period was used. It was found that 30% of these customers bought weekly special items. Which statement about the sample group is true? horse
Choose:
The sample shows exactly 30% of customers buy the specials.
The sample is the percentage of customers buying special items.
The sample might not be representative of the population as it only included customers buying horse feed.
The sample size is too small, so no generalizations can be made.

 

 

2.
The heights (in inches) of the students in two Scouting Troops were surveyed.

Troop A: 60, 65, 64, 68, 66, 63, 64, 68, 67, 62
Troop B: 67, 69, 62, 60, 61, 64, 63, 65, 65, 61

Which of the following statements is true?
studentwalk
  Choose:
The mean height of students in Troop B is slightly taller than the mean height in Troop A.
The median height in Troop A is taller than the mean height of Troop A.
The median height of Troop B exceeds the mean height of Troop A.
The mean height of Troop A exceeds the mean height of Troop B.

 

 

3.
Student Council is trying to decide upon a theme for the spring dance. They have narrowed the choices to four options and are going to survey the 8th grade class.

Which method would produce the best representative sample?

dance
Choose:
Survey the 8th grade students in Mrs. Arnold's art class.
Survey every fifth 8th grade student entering the school one morning.
Survey all of the 8th grade students attending the football game.
Survey the 8th grade students in Mr. Allen's math class.

 

 

4.

The box and whisker plots at the right, show the semester test scores in History class for students Kyle and Amira.

Which conclusion can be drawn from these box plots?

Exam Scores for History Class
comparebox1a
  Choose:
The interquartile range for each student's scores is the same.
Kyle's scores have a greater range and a greater interquartile range.
Amira's scores have a smaller range and a smaller interquartile range.
Kyle's scores have a greater interquartile range, and Amira's scores have a greater range.

 

 

5.
In gym class, groups of 12 students are given a designated amount of time to complete as many sit-ups as possible. A goal of 55 sit-ups is desired. The number of sit-ups completed in the given amount of time are shown in the following dot plots.
situps

Which of the following statements regarding the sit-ups is NOT true?
  Choose:
The median number of sit-ups in Group 1 is larger than the median number from Group 2.
The number of sit-ups appears to be more consistent in Group 2.
The range of the number of sit-ups is greater in Group 2.
More students exceeded the 55 required sit-ups in Group1.

 

 

6.
The high school cafeteria has decided to add more options to the school menu. Randomly chosen students from each class were surveyed as to which of three options they would like to see in the cafeteria. The students' choices are shown below.
Class
MathBits
Salad Bar
Vending Machines
Buffet Items
Freshman
20
18
15
Sophomore
18
21
24
Junior
20
20
12
Senior
14
18
13
  a) What percent of the students in the Sophomore Class chose the Vending Machines?
Choose:

21%
24%
3313
40%
 
b)
The total number of students wanting the Salad Bar is how many times as great as the total number of students wanting the Buffet Items?
Choose:

113\
114
118
1116
 
c)
Of the students surveyed, which class displayed the largest percentage in favor of the Vending Machines?
Choose:

Freshman
Sophomore
Junior
Senior

 

 

7.
Data is collected on two new start-up companies, each having four employees. The ages and salaries of the employees are collected.
Company 1
comp1
Company 2
comp2

Which of the following statements is true regarding this data?
Choose:
The mean salary from Company 1 is greater than the mean salary from Company 2.
The mean age of workers in Company 1 is greater than the mean age of workers in Company 2.
The median salaries in both companies are greater than $37,000.
The salary range of Company 2 is greater than the salary range of Company 1.

 

 

8.
A college math class posts test scores (using student social security numbers). All of the students taking the test scored over 70% correct.  Unfortunately, 5 students were absent for the test and the computer listed their scores as 0 until the test is taken.  Assuming that no score repeated more times than the 0's, what measure of central tendency would most likely give the best representation of this data at this time?
Choose:
mean
mode
median
range

 

 

9.
A survey was conducted of 150 randomly selected students asking:
"Which social media do you check first at the end of a school day?"
.
The results are shown below:
Twitter
Facebook
YouTube
Instagram
37
48
32
30      MathBits
The results of this survey are used to make a generalization regarding all of the 650 students in the school building. Based upon this survey, what would be the number of students in the building who first check Facebook at the end of the school day?

Choose:
140
204
208
217

 

 

10.
Cars were recorded as they passed through a 55 mph speed trap during the morning and the afternoon in a small town. The first fifteen cars in each time study are shown below.
speeding

Which of the following statements is true regarding this data?

Choose:
The mean speed of the morning trap was 55 mph.
The median speed in each trap is 55 mph.
The mean and the median in the morning trap are the same.
The median speed increased in the afternoon.

 

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