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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 number of iTunes downloaded by 25 students in one week ranges from 15 to 55.  The box-and-whisker plot depicts this data.
boxtunes
For this data:
a) What is the minimum number of iTunes downloaded?
Choose:
10
 15 20 40

b) What is the maximum number of iTunes downloaded?
Choose:
20
 25 40 55

c) What number represents the first quartile of this data?
Choose:
15
 20 25 40

d) What number represents the median of this data?
Choose:
15
 20 25 40

e) What number represents the third quartile of this data?
Choose:
15
 20 25 40

 

 

7.
The charts below show data on the number of ceritfied trainers belonging to two fitness gyms. The ages and salaries of the trainers were collected.


Which of the following statements is true regarding this data?
Choose:
The mean salary from Gym A is greater than the mean salary from Gym B.
The mean ages of trainers in both gyms are the same.
The median salaries of trainers in both gyms are the same.
The median salary from Gym A is greater than the median salary from Gym B.

 

 

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.
The data set 15, 18, 19, 20, 21, 21, 21, 22, 24, 26, 27, 27, 28, 29, 30 represents the number of hours students from Mr. Allen's math class spent on their cell phones during a 5-day school week. 
Which box-and-whisker plot represents this data?

Choose:

 

 

10.
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:
TikTok
Facebook
YouTube
Instagram
35
37
48
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 YouTube at the end of the school day?

Choose:
140
204
208
217

 

 

11.
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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