Center & Variability
This measure of center is least affected by an unusually high outlier.
What is the median?
A display that would be most appropriate for showing the distribution of individual students' one-way commute times.
What is a dotplot?
A set of test scores is approximately normally distributed with a mean of 70 and a standard deviation of 10. Find the z-score for a score of 85.
What is 1.5?
What is a Quantitative Variable?
A school wants to estimate how many hours students spend on homework each week. An administrator gives a survey to all 30 students enrolled in an advanced mathematics class. The results of the survey are most affected by this type of bias.
What is Undercoverage bias?
A data set has values 12, 14, 15, 16, and 48. The central value, 15 is referred to as this measure of center.
What is the median?
This data display is most appropriate for comparing votes on music genres.
What is a bar graph?
Test scores are normally distributed with a mean of 70 and a standard deviation of 10. Find the approximate percentage of scores above 80.
What is 15.9%?
The types of Oreos named in yesterday's warm-up is considered this type of variable.
What is a categorical variable?
At the end of the school year, a teacher asks all of her students to complete a nonanonymous survey rating the class on a scale from 1 to 10. The survey's results will most likely be skewed by this type of bias.
What is response bias?
A data set has values 3, 4, 5, 6, and 7. If the value 100 is added, we would observe an extreme change in this measure of center.
What is the mean?
A researcher records the types of transportation students use to go to and from school each day. The data is then represented visually as a percentage of a whole. The researcher most likely used this type of graph to display the day.
What is a pie chart?
Test scores are normally distributed with a mean of 70 and a standard deviation of 8. Find the percentile corresponding to a score of 92.
What is the 99.7th Percentile?
A city wants to estimate how residents feelabout adding bike lanes. It posts a survey link on its website and uses the responses from residents who choose to complete it. Name the type of sampling method used in this scenario.
What is Voluntary Response Sampling?
A researcher wants to estimate the average number of hours students at a school spend studying each week. To do so, the researcher surveys a random sample of students from every grade a local high school. Describe the population of this study.
What is all students at that high school?
A data set has the following five-number summary: minimum 4, first quartile 8, median 12, third quartile 16, and maximum 20. The interquartile range is found to be this value.
What is 8?
This data display is most appropriate for comparing quantitative data grouped into distinct bins or intervals.
What is a histogram?
Interpret the meaning of a student scoring in the 49th percentile on a mathematics test.
What is 49% of students taking the test scored the same or lower than this particular student?
A researcher wants to study whether a new tutoring program improves students' test scores. She randomly chooses 32 students from a local high school to observe. In her study, the researcher implemented this sampling method.
What is a Random Sample?
What is nonresponse bias?
A data set of monthly utility bills has one unusually high bill caused by a billing error. Choose both the measure of center (MEAN or MEDIAN) AND measure of variability (STANDARD DEVIATION or IRQ) that would be most accurate in this scenario
What is median and IQR?
A researcher records the number of books each student read during the summer and displays the five-number summary of the data (minimum, maximum, median, first quartile, and 3rd quartile). The researcher most likely used this type of display.
What is a boxplot?
In a normal distribution, this percentage of observations lies within 1 standard deviation of the mean.
A researcher records the amount of sleep students get and their test scores without asking them to change their sleep habits. The researcher carried out this type of study.
What is an Observational Study?
The principle of a high school wants to know the percent of students at her school who are satisfied with the new lunch schedule instituted this year. She randomly selects 80 students from a list of all sophomore students at the school and surveys each one. The sample for the study can best be described as this group.
What is the 80 randomly selected students?