Statistical Studies & Data Collection
Types of Data, Tables and Graphical Displays
Measures of Center, Outliers and Box Plots
Computing Standard Deviation
100

The complete set of people or things being studied in a statistical investigation.

What is the population?

100

Class sections are labeled 101, 102, and 103. A student claims Section 103 is “better” because the number is higher. What kind of data are class sections, and why is the student’s reasoning correct or flawed?

What is qualitative data, because the numbers are only labels and have no numerical meaning?

100

The sum of all values divided by the number of values.

What is the mean?

100

What is the first step in computing standard deviation for a data set?  

What is computing the mean of the data set?

200

Items or quantities that a study seeks to measure.

What is Variable of Interest?

200

The table shows the percentages of mothers aged 40–44 with 1 child (19%), 2 children (41%), 3 children (28%), and 4 or more children (12). Which pie chart correctly displays this data? 

 (Picture 1)

What is option A

200

A value much higher or lower than almost all other values in a data set.

What is an outlier?

200

If all values in a data set are the same, what is the standard deviation and why?

What is zero, because there is no variation.

300

The set of people or things from which the data are actually obtained.

What is a Sample?

300

In a frequency table, which column shows the proportion of data values to the total values in each class?  

What is relative frequency?

300

Find the mean and median of the data set: 2, 3, 4, 4, 6.

What is mean= 3.8 and median=4?

300

After finding the sum of all deviations from the mean squared when calculating standard deviation, what is the next step?  

What is dividing by the total number of data values minus one?

400

A study randomly assigns 500 people to receive a vaccine and 500 to receive a placebo, then compares infection rates. Identify the type of study and group roles.  

What is an experiment with a treatment group (vaccine) and control group (placebo)?

400

Exam scores are grouped into 6‑point bins (94–99, 88–93, 82–87, 76–81, etc.) for the following data set:
81, 88, 98, 90, 77, 84, 82, 87, 87, 90, 71, 82, 71, 76, 65, 93, 66, 66, 86, 79.
What is the relative frequency of scores in the 76–81 bin?  

What is 0.20 (or 20%)?

400

The five values included in the five-number summary.

What are the low value, lower quartile, median, upper quartile, and high value?

400

Two data sets have the same mean. One has a larger standard deviation. What does this indicate?

What is greater variability in that data set.

500

Believing random selection alone makes a study an experiment—even without assigning treatments—is incorrect. Identify the error.

Confusing observational studies with experiments; experiments require assigned treatments.

500

How much more would the average male college graduate (bachelor's degree) earn during these 45 years than the average male high school graduate?

(Picture 2)

What is $1,360,665.00 total for 45 years?

500

Use the following values to create a five number summary

241, 198, 194, 161, 160, 152

LV: 152

LQ: 160

Median:177.50

UQ:198
HV: 241

500

Calculate the standard deviation of the data set 2, 3, 4, 4, 6 (rounded to three decimals).

What is approximately 1.483?