Data Terms
Which of the following is a statistical question?
a) When is Halloween?
b) How many pieces of candy did you get?
c) What house has the best decorations?
d) How many students dressed up in each class?
d) "How many students dressed up in each class?" is a statistical question because it would generate more than one piece of numerical data.
Find the mode of the following data:
Number of Houses Visited By Trick-or-Treaters: 24, 15, 0, 21, 15, 10, 14, 10, 8, 12, 37.
The mode is 10 houses AND 15 houses. It's bi-modal!
How many observations were made in the data displayed by the dot plot in figure 1?
The dot plot shows 22 observations.
According to the histogram in Fig. 2, how many students own 6-10 books?
50 students own 6-10 books.
What is the median height of girls according to the box plot in fig. 3?
The median height of girls is 166 cm.
What are the two most common measures of center?
Mean and median are the most common measures of center.
Find the range of the following data:
Math Test Scores: 90, 83, 98, 74, 84, 77, 69, 92
The range is 29 points.
What does each dot represent in the data plot in figure 1?
Each dot represents one player on the football team
Which book interval (group) was the mode in the histogram on Fig. 2?
11-15 books were the mode.
What is the range of heights for all students shown in the box & whisker plot in figure 3?
The range of heights is 52 cm.
Range and interquartile range (IQR) are both considered measures of... what?
Range and interquartile range are both considered measures of variation.
Find the median of the following data:
Time Spent Studying: 60, 30, 15, 20, 15, 25, 0
The median is 20 minutes.
How would you visually describe the data represented in figure 1?
The dot plot is right skewed.
Based on the histogram in Fig. 2, what was the range of books students owned?
The exact range cannot be found using the histogram in Fig. 2.
What is the interquartile range of boys heights seen in fig. 3 (box & whisker plot)?
The interquartile range is 22 cm.
What term is used to describe a data point that is far away from the rest of the data set and can often skew the data?
An outlier.
Find the median of the following data:
Money Spent on Costumes: 21, 16, 50, 0, 12, 24
The median is $18.50.
What is the range of the data displayed in figure 1?
The range is 5 years.
How many more students own 16-20 books than 26-30 books?
20 more students own 16-20 books than 26-30 books.
Describe the shape of the girls data in figure 3 (box & whisker plot).
The girls box plot is skewed left.
Both dot plots and histograms display data by making vertical stacks. These stacks show the amount of observations in each column, also known as... what?
The amount of observations in each column is also called the frequency.
Find the mean of the following data:
Temperatures in October: 65, 63, 70, 63, 61, 59
The mean, or average, temperature in October was 63.5 degrees.
What is the mean of the data displayed on the dot plot in figure 1? (rounded to the nearest hundredths)
The mean is 21.18 years.
Describe the shape of the data in fig. 2 (histogram).
The histogram is right skewed.
Use the data in figure 3 to answer the following questions.
1. Who is taller on average - boys or girls?
2. Who shows less spread in height - boys or girls?
3. Who is the shortest person - a boy or a girl?
4. Who is the tallest person - a boy or a girl?
5. TRUE or FALSE? Half of the boys are over 172 cm tall.
6. TRUE or FALSE? Half of the girls are under 165 cm tall.
1. Boys
2. Girls
3. Girl
4. Boy
5. False
6. True