applied mathematics - unit 5: using statistics in the social sciences
jodie plans a survey study to answer the question, "how much recreation do students get during the summer holiday?" what questions would best allow her to collect quantitative data?
0.5 of 1 how many hours do you spend doing chores? how many times did you go to the beach this summer? how many books did you read for homework this summer?
based on the histogram, how many people ride the subway between 6 p.m. and 10 p.m.?
1 million riders
mason works at convenience store, and tracks the number of candy bars sold. he makes the dot plot below to show how many candy bars are sold during each hour of his 9-hour shift. how many candy bars were sold in the first 2 hours?
10
the data represents how many out of 36 courses are sciences courses available to freshmen, sophomores, juniors, and seniors at a particular high school. the distribution of percentages is presented in the image. approximately how many science courses can the seniors choose from?
17
a geologist collected data on the depth, in feet, of 12 different digs from his colleagues. they shared their data as: 110, 250, 230, 230, 122, 286, 115, 299, 98, 142, 188, 198. what is the mean of this data?
189
joan is the manager of a call center, and it's her job to reduce call waiting times. she makes a tally of the amount of time taken for each call. below is a box plot which models this information. what is the interquartile range in this data set?
3
a factory manufactures baseballs, which have a weight between 142 and 149 grams. In one day, 200 baseballs are manufactured. what is the range of the data?
7
a survey was done at a music school as to students' preferences of the type of music they would like to play. the results are shown in the circle graph. what is wrong with this circle graph?
too much data is presented.
what conclusions can be drawn, looking at both graphs? choose all that apply.
two additional states were created between 1940 and 2010. for both graphs, there are clusters around 00 and 1010 representatives.
which one of these questions is a meaningful question suitable for a study?
what percentage of girls take ap classes in their senior year in high school?
below is a bar chart showing the results of equal numbers of sixth graders and seventh graders interviewed about movie preferences. what type of conclusions can be drawn from the data? select all that apply.
about twice as many sixth graders like romantic movies compared to seventh graders. the number of sixth graders who prefer sci-fi movies is equal to the number of seventh graders who prefer romantic movies.
lesson 25
analyzing and presenting the results of a survey study
jeannie would like to survey 30 juniors about the quality of the cafeteria food. she randomly chooses three classrooms where juniors are in english lessons and randomly selects 10 students to conduct her survey. what type of sampling strategy is she using?
cluster
there are three main things to do when analyzing and presenting data from a study. which three main things are included on the following list? select all that apply.
draw a conclusion organize survey results write a summary of findings
which is included in the written report?
executive summary, methodology, results, and appendices
below is a line chart showing the profits of company x from year 2015 to present. the company management says the percentage of change in profit from 2018 to 2019 is the highest. the data from which interval is taken indicates otherwise. which interval actually has the highest change in profit?
from 2015 to 2016
a local doctor's office is interested in how the height of children have changed over the past 50 years. they are creating a graph to show the height of 100 six-year-olds, rounded to the nearest tenth of an inch. which graph would be best to use to graph this piece of data?
histogram
a research team is studying what percentage of newborns weigh between 3.50 kilograms and 5 kg at birth. to draw reliable conclusions, the team estimates that data of at least 2000 babies must be collected. which graph will be most suited to represent the outcome of the research?
histogram
which characteristic is essential in a survey research question?
it must pertain to a particular goal.
what kind of graph would you use to represent the number of newborns in your state annually for the last 20 years?
line graph
the following table shows the number of electoral votes for the president. which measure of central tendency best represents the data?
mean
the frequency distribution below shows the number of people who arrive in union station from 5 pm to 6 pm on successive days during the month of may. which measure of central tendency is the most appropriate for the data?
mean
lesson 24
measure of tendency & variability
which information is correct for this box-and-whisker plot?
one-half of the data is between 130 and 140
lesson 21
planning and conducting a survey study
which data collection method uses a survey?
questionnaire
jeannie would like to survey 30 juniors about the quality of the cafeteria food. she would like to see which dessert the students like the most. which item gives her the most reliable results?
rank the following deserts in the order from least to most favorite.
adrian would like to survey 50 high school students about their favorite extracurricular activity. which item gives him the most reliable results?
rank the following extracurricular activities in the order from least to most favorite.
a social study was done in a daycare center to determine the time each child spent with each toy. the table and graph represent this information. what is wrong with this bar graph? select all that apply.
scale is missing. title and labels are missing. facts are shown incorrectly.
each student at a school has a student id number. the principal generates 70 random identification numbers and the students with those numbers are designated as subjects in a survey study. which type of sampling is used?
simple random sampling
study the histograms representing the number of counties in each us state. match each description with the correct region.
south region : has an outlier northeast region : has a gap but not an outlier midwest region : has a mode between 80 and 100 west region : is right skewed
lesson 22
statistical graphs in the social sciences, part 1
lesson 23
statistical graphs in the social sciences, part 2
why are surveys used in the social sciences? select all that apply.
surveys allow for data collection from a large sample of participants. surveys allow for collection of data that are not directly observable in behavior.
lily often orders take-out from a local vietnamese restaurant. she tries to time her arrival at the restaurant with when the food will be ready. she makes a note of how long it takes every time she orders. what conclusion can be drawn based on the graph?
the maximum wait time is an outlier.
below is a stem-and-leaf plot showing the age of the employees at a local tech startup. which of the following is correct?
the mean age is 35 there is an outlier in the data
the following data set shows the the population of a town, in thousands. what are the mean and median?
the mean is 13.7 thousand and the median is 13.9 thousand.
below is a box plot representing the grades of a class on a recent test. from the information, which of the following conclusions could be drawn? select all that apply.
the median score is 78. the middle 50% of scores were between 65 and 89.
below is a frequency table showing the number of chocolate chips in each cookie that comes out of a chocolate chip cookie factory. a new data set is created, with a mode of 19. how has the mode changed in this new data set?
the mode has increased by 3
a psychology student conducted a survey and the results indicate that regular exercise leads to weight loss. the student used this conclusion in his recent paper. what could be wrong with this conclusion?
the study did not take into account other factors such as the physiology and diet of subjects.
a social science student conducted a survey, and the results indicated that sugar intake increases the activity level of 4-year-old children. the student used this conclusion in his recent paper. what could be wrong with this conclusion?
the study did not take into account other factors, such as nap time.
