Statistical Questions & Measures
This type of question expects a variety of different answers rather than a single fixed answer.
Answer: What is a statistical question?
On a dot plot showing test scores, there are 3 dots over 85, 4 dots over 90, and 2 dots over 95. How many students scored 90 or higher?
What is 6 students? (4 + 2 = 6)
In a box plot, the vertical line drawn inside the box marks this measure of center.
Answer: What is the median?
Solve: 2,484 / 4
What is 621?
Solve: 14.4 / 6
What is 2.4?
Which of the following is a statistical question?
A) How tall is the school principal?
B) How many pets do 6th graders in our school have?
Answer: What is B (How many pets do 6th graders in our school have?)?
On a dot plot or histogram, an empty space where no data values appear between other data values is called this.
Answer: What is a gap?
A box plot shows a First Quartile (Q1) of $12$ and a Third Quartile (Q3) of 28. Calculate the Interquartile Range (IQR).
Answer: What is 16? (28 - 12 = 16)
What is 873?
Evaluate: 15 / 0.5
What is 30?
When a data set contains an extreme outlier or is heavily skewed, this measure of center is better to use than the mean.
Answer: What is the median?
Unlike a standard bar graph, the horizontal axis of a histogram displays data grouped into equal-sized ____.
Answer: What are intervals (or bins)?
What percentage of the total data set is represented inside the box portion (between Q1 and Q3) of a box plot?
Answer: What is 50%?
What is 130?
Solve: 4.8 / 0.8
What is 6?
This statistic measures the average distance between each data value and the mean of the data set.
Answer: What is the Mean Absolute Deviation (MAD)?
Given the data set {3, 5, 7, 12, 14, 18, 19, 22}, how many values belong in the histogram interval 10–19?
Answer: What is 4 values? (12, 14, 18, 19)
To construct a box plot for the data set {4, 7, 10, 14, 15, 18, 20}, what is the median value?
Answer: What is 14?
Solve: 3,450 / 25
What is 138?
Evaluate: 8.75 / 0.25
What is 35?
For the data set {2, 4, 6, 8} with a mean of 5, calculate the Mean Absolute Deviation (MAD).
What is 2?
True or False: If a histogram is symmetrical and shaped like a bell, the mean and median of the data will be approximately equal.
Answer: What is True?
If 40 students were surveyed and their results were used to make a box plot, how many students fall below the First Quartile (Q1)?
Answer: What is 10 students?
A bakery packs 2,160 cookies into boxes containing 18 cookies each. How many full boxes can they fill?
What is 120 boxes?
A ribbon measuring 12.6 meters long is cut into equal pieces that are each 0.3 meters long. How many pieces are created?
What is 42 pieces?