Pre-Test Algebra Module 2A
1. Consider the following sets of data.
2. Given the histogram shown, which of the following conclusions could be drawn from the data shown in the histogram below?
a) People are never older than 90.
b) One-half of the patients were between 20 and 40 years of age.
c) Patients recover faster if they drink a lot of water.
d) There were three times as many patients between 40 and 50 years old as there were between 70 and 80 years old.
3. James asked a group of 120 girls how many hours they studied on a typical night. After the interviews, James lost all of the information except the box plot below.
Hours worked per week
Fill in the correct response to each question below using the responses provided in the box. Each response may be used more than once; some may not be used at all. (7 pts)
0 / 4 / 11 / 122.1 / 23 / 24 / 30
60 / 90 / 120 / Cannot be determined
a) How many students worked 1.25 or less hours per night?
b) Studied between 3.5 and 4 hours per night?
c) How many students studied exactly 2 hours per night?
d) What was the maximum number of hours studied per night?
e) How many students did not study at all?
f) What is the mean of the data set?
g) What is the median of the data set?
4. Consider the data presented in the box plots.
Which of the following statements best describes the data and its appropriate measure of center?
A. All three data sets are skewed, so mean is the most appropriate measure of center.
B. All three data sets are skewed, so median is the most appropriate measure of center.
C. All three data sets are symmetric, so mean is the most appropriate measure of center.
D. All three data sets are symmetric, so median is the most appropriate measure of center.
5. Each of the plots below represents the distribution of hours of television watched in a week.
6. The school nurse surveyed a group of 20 sophomores in high school on the average number of hours they slept each night. The results of the survey are indicated below:
9.3, 6, 6.25, 6, 9.5, 7, 6.75, 6, 9, 7.3, 10.1, 8.25, 7.1, 7, 8, 7, 8.2, 9, 9.2, 10
Make a histogram of the data in the space below. Be sure to label your axes! (3 pts)
7. A group of students were asked how many pets they had. The results are in the dot plots below:
Jack thinks that students in Class A have more pets. Suzanne thinks students in class B has more pets. What measure of center should each of them use to support their opinion? (2 pts)
Jack should use: / because:Suzanne should use: / because:
8. The students in a biology class recorded the number of letters in their first name. The data are shown below.
However, Jossilynrae was absent on the day the number of letters in their first name was recorded and had to add her data to the set the next day.
Put a check mark in the correct box to show whether the value of each statistic, for the number of letters in their first name, is greater for Day 1, equal for both, or greater on Day 2, based on the box plots.
Greater on Day 1 / Equal for both days / Greater on Day 2Mean
Median
Standard Deviation
9. Sarah is tracking the hours she spends riding her horse each day for two weeks. The results are:
Hours spent riding: 1, 2, 0, 8, 2, 1, 3, 2, 2, 4, 1, 0, 3, 1
a) Is there a potential outlier for this data set?
b) Write an expression that would be used to decide whether your answer for 8a is an outlier for this data set.
c) Use the expression to decide whether your answer for 8a is an outlier for the set.
10. 20 students were asked how many classes they passed first semester. Place 20 dots onto the dot plot scale below so that the standard deviation of the data is as large as possible.
Number of classes passed first semester
11. A group of students were comparing their cumulative GPA. The results were:
Group A: 3.0, 3.1, 3.8, 3.5, 3.6
A different group of students were comparing their test scores, too. Their results were:
Group B: 2.0, 2.8, 4.0, 3.1, 3.9
Select all of the correct descriptions of the data set from the choices below:
A. The standard deviation of Group B is larger than the standard deviation of Group A.
B. The interquartile range of Group B is larger than the standard deviation of Group A.
C. The mean of Group B is larger than the mean of Group A.
D. The median of Group B is larger than the median of Group A
12. A group of high school students were asked how many years they had lived in Washington. The results were:
4, 5, 10, 5, 6, 2, 16, 15, 13, 12, 7, 15, 16, 15
Make a dot plot that correctly shows this data.
13. The dot plot below shows the number of video games owned by each of 12 people surveyed.
Fill in the table below by calculating the correct numeric value: (4 pts)
MeanStandard deviation
Median
IQR
Rev 1/11/16 2