WorksheetsMath 4 Unit 5 Assessment
Total questions: 40
Worksheet time: 21mins
Identify the quantitative variable contained in the dataset. Select ALL that apply.
Film
Lead studio
Audience Score
Genre
Budget
Based on the histograms provided, which histogram represents a dataset that is skewed right?
Histogram 1
Histogram 2
Histogram 3
What value can be added to the data set that will skew the data to the right?
12 13 14 15 16 17 18
2
12
16
24
A fitness coach records the number of days athletes practice each week and the number of injuries they experience during the season. The coach finds that athletes who practice more tend to have more injuries. Which variable is quantitative and serves as the response variable?
number of practice days
type of sport
number of injuries
athlete name
A school surveyed students about handedness and preferred device type. Based on the table, which comparison is most appropriate to determine whether left-handed students are more likely to use a Mac?
Compare the number of Mac users to PC users.
Compare the proportion of left-handed students using Macs to the proportion of right-handed students using Macs.
Compare the total number of left-handed students to right-handed students.
Compare the number of Mac users who are right-handed to the number of PC users who are left-handed.
Identify the outlier in the table showing the masses of eight polar bears. How does the outlier affect the mean and the median?
The outlier is 262, and it decreases both the mean and the median.
The outlier is 62, and it decreases the mean but has little effect on the median.
The outlier is 553, and it increases both the mean and the median.
The outlier is 455, and it increases the mean but has little effect on the median.
A survey found that students who sleep at least 8 hours are more likely to earn higher grades. Which conclusion demonstrates the best statistical reasoning?
Sleeping 8 hours automatically guarantees higher grades.
Higher grades cause students to sleep longer.
Since grades are quantitative, there cannot be a correlation.
The data suggest an association, but other variables such as study habits may also affect grades.
Without performing calculations, which data set in the dot plots has the greatest standard deviation? Which has the least standard deviation? Explain your reasoning.
Data set C has the greatest standard deviation, and data set B has the least.
Data set B has the greatest standard deviation, and data set A has the least.
Data set C has the least standard deviation, and data set B has the greatest.
Data set A has the greatest standard deviation, and data set C has the least.
A higher education research organization conducts an annual study of attitudes of incoming college students by surveying approximately 250,000 first-year students at 340 colleges and universities. There are approximately 1.4 million first-year college students in this country. How many first-year college students are surveyed annually by a higher education research organization to study their attitudes?
100,000
250,000
500,000
1.4 million
Determine if the question 'How many cars were sold each day this month?' is a statistical question (yes or no).
Yes
No
Maybe
Not enough information
A principal collected data about whether students prefer paper notebooks or digital notes. Based on the table, which statement is best supported by the data?
Grade level is the response variable.
Taking digital notes causes students to become seniors.
Seniors are more likely than freshmen to prefer digital notes.
Freshmen and seniors prefer paper notes equally.
The dot plots compare the number of raffle tickets sold by boys and girls during a school fund-raiser. Which plot has an outlier?
Which statement correctly distinguishes categorical and quantitative variables?
Categorical use numbers as precise counts
Quantitative always have only a few values
Quantitative describe group labels or types
Categorical identify membership in categories
In a dot plot, what does each dot typically represent?
A bin of grouped intervals
The interquartile range length
A single data value observed
A relative frequency percent
Which graphical display is most appropriate for categorical data with two subgroups?
Box plot showing quartiles
Segmented bar chart by category
Dot plot across long timeline
Histogram with equal bin width
Which of the following variables DOES NOT belong?
zip codes
attendance status
lunch choice
body mass
A sample in statistics is
Subset drawn from population
Entire population of interest
Set of all possible outcomes
Single observation recorded
Standard deviation primarily quantifies
Central tendency of data
Difference between extremes
Proportion within categories
Spread around the mean
Scenario #3: A company makes products typically used by the elderly. The company manager provides samples of various products to residents of the retirement home where his mother lives. The residents use the products for several weeks and then complete a survey, giving their opinions of the company’s products. Based on this scenario, is the sampling method likely to produce biased results (Yes or No)? Suggest ways to improve in getting the samples without bias.
Yes, the sampling method is likely biased because the residents all come from one retirement home and may not represent the opinions of all elderly people. The company should randomly select elderly participants from different communities and backgrounds.
Yes, the sampling method is biased because elderly people should not be surveyed about products designed for them. The company should ask teenagers instead.
No, the sampling method is not biased because all residents had enough time to test the products before answering the survey.
No, the sampling method is fair because the manager personally knows the retirement home residents and can trust their opinions.
In __________ __________ every member of the target population has an equal chance of becoming part of the sample.
Stratified sampling
Random sampling
Opportunity sampling
Convenience sampling
Researchers cannot generalize findings unless their samples are random. In order for a sample to be truly random, every member of the entire group has to have an equal chance of being chosen to participate. Which of the following is an example of a random sampling procedure used to pick 100 participants for a research project?
Design a Web site that has an online version of a questionnaire and include the first 100 people who complete the survey.
Put an ad in the newspaper and pick the first 100 people who respond.
Choose participants from the entire population of interest by putting all the names in a bowl, picking names one at a time until you reach 100, and involving as many of those 100 as possible.
Send questionnaires to the entire population of interest and include the first 100 people who return the questionnaire.
What is the purpose of a "sample" in research?
To select the target population for a study
To generalize findings to a larger population
To provide background information
To represent the entire population
What does it mean for a sample to be "representative"?
It is made up of a variety of populations
It perfectly mirrors the target population
It reflects the characteristics of the target population
It includes individuals from multiple societies
Which of the following is an example of a non-random sampling technique?
Simple random sampling
Voluntary Response sampling
Stratified sampling
Cluster sampling
What is sampling bias?
It occurs when the sample accurately represents the population.
It is the error that occurs when the sample does not reflect the characteristics of the population.
It is a technique used to increase the sample size.
It is a method to ensure random sampling.
In which type of sampling does the researcher divide the population into subgroups and then randomly select samples from each subgroup?
Simple random sampling
Systematic sampling
Stratified sampling
Cluster Sampling
The height of 6-year-old girls is approximately normal with mean μ=115 cm and standard deviation σ=4 cm. Which pair correctly marks the points one standard deviation on either side of the mean on the horizontal axis?
111 cm and 119 cm
113 cm and 117 cm
109 cm and 121 cm
115 cm and 123 cm
For approximately normal data, what percentage of values fall within one standard deviation of the mean?
34%
68%
95%
99.7%
Figure 7.18 shows a histogram of data on an individual’s pulse rates (beats/minute). Based on the shape of the histogram, do you think this individual’s pulse rate follows a normal distribution? Choose the best statement that reflects whether a normal curve should be drawn and why.
Yes — the distribution is roughly symmetric and bell-shaped around about 70 beats/minute, so a normal curve would be appropriate.
Yes — the distribution is approximately uniform across the bins, so a normal curve would be appropriate.
No — the distribution is clearly bimodal with two separate peaks, so a normal curve would not fit.
No — the distribution is noticeably skewed and not symmetric, with gaps and a cluster near 70 beats/minute, so a normal curve would not fit.
Figure 7.19 shows a histogram of femur bone lengths. Based on the shape of the histogram, do you think femur bone lengths are normally distributed? Choose the best statement that reflects whether a normal curve should be drawn and why.
Yes — the distribution appears roughly symmetric and bell-shaped, centered near 460–480 mm, so a normal curve would be appropriate.
No — the distribution is strongly left-skewed with a long lower-length tail, so a normal curve would not fit.
No — the distribution is strongly right-skewed with a long upper-length tail, so a normal curve would not fit.
No — the distribution is approximately uniform across lengths, so a normal curve would not fit.
A teacher gives two different statistics tests, but one is harder than the other. Scores on test A have mean 78 and standard deviation 6, and scores on test B have mean 65 and standard deviation 9. Carrie scored 79 on test B and Pat scored 85 on test A. Who had the higher standardized score?
Pat
Carrie
Tie
Cannot be determined
The Army finds that the head sizes (forehead circumference) of soldiers vary according to the Normal distribution with mean μ=22.8 inches and standard deviation σ=1.1 inches. What proportion of soldiers has head size between 20.6 inches and 25 inches?
About 0.70
About 0.75
About 0.90
About 0.95
A test has a mean of 80 with a standard deviation of 4. Which of the following scores is within one standard deviation of the mean?
99
90
86
77
75
Home prices tend to be:
positively skewed
negatively skewed
symmetric
What is the shape of the distribution?
Skewed left
Skewed right
Symmetric
Bimodal
How many cities have temperatures between 70 degrees and 99 degrees?
26
34
44
62
Which statement correctly describes the distribution?
There is a cluster from 2 to 5
There is a peak at 6
There is a gap between 0 and 3
There is a gap between 6 and 8
Two normal density curves are shown in a figure: one solid and one dashed. Which curve represents the distribution with the larger standard deviation σ sigma?
Dashed Curve
Solid Curve
Which dot plot shows more consistency?
a
b
both
