
Describing Data
Presentation
•
Mathematics
•
9th Grade
•
Practice Problem
•
Easy
RiChiella Johnson
Used 2+ times
FREE Resource
11 Slides • 17 Questions
1
2
3
Open Ended
Why is it important to understand the distribution of data when analyzing information?
4
Multiple Choice
Which of the following best describes a symmetric distribution?
The data are evenly distributed.
The majority of the data are on the right.
The majority of the data are on the left.
The data are not distributed at all.
5
6
Multiple Choice
What does it mean if a histogram is high on the left and has a tail on the right?
The distribution is positively skewed.
The distribution is negatively skewed.
The distribution is symmetric.
The distribution is bimodal.
7
8
Open Ended
Explain how a box-and-whisker plot can be used to identify the shape of a distribution. Use the data from Example 1 as a reference.
9
10
Multiple Choice
Given a box-and-whisker plot where the right whisker is longer than the left and the median is closer to the left, what type of skewness does the distribution have?
Positively skewed
Negatively skewed
Symmetric
Uniform
11
Fill in the Blanks
In a negatively skewed box-and-whisker plot, the left whisker is
Type answer...
12
Multiple Select
Which of the following statements are true about a symmetric box-and-whisker plot?
The whiskers are the same length.
The median is in the center of the data.
The left whisker is longer than the right.
The right whisker is longer than the left.
13
14
Open Ended
Describe the steps you would take to use a graphing calculator to construct a box-and-whisker plot for a given data set and determine the shape of its distribution.
15
16
17
Open Ended
Explain why the mean is not a reliable measure of center for a skewed distribution, based on the the pictures.
18
Multiple Choice
Which statistic is more reliable for describing the center of a skewed distribution: mean or median?
Mean
Median
Both are equally reliable
Neither
19
20
Fill in the Blanks
The mean x̄ is about
21
22
Open Ended
List the five components of the five-number summary used in a box-and-whisker plot.
23
Multiple Choice
When is it appropriate to use the five-number summary instead of the mean and standard deviation to describe a data set?
When the distribution is symmetric
When the distribution is skewed or has outliers
When the data set is small
When the mean and median are equal
24
Multiple Choice
What does it indicate about a data set if the right whisker in a box-and-whisker plot is longer than the left whisker and the median is closer to the left whisker?
The distribution is symmetric
The distribution is negatively skewed
The distribution is positively skewed
The data set has no outliers
25
26
Open Ended
How would you describe the overall shape of a symmetric distribution, and why is it important when analyzing data?
27
Multiple Choice
What is the main difference between a negatively skewed distribution and a positively skewed distribution?
In a negatively skewed distribution, the majority of the data are on the right, while in a positively skewed distribution, the majority of the data are on the left.
In a negatively skewed distribution, the majority of the data are on the left, while in a positively skewed distribution, the majority of the data are on the right.
Both distributions have the majority of data in the center.
Both distributions have the majority of data on the right.
28
Poll
How do you feel about Describing Data?
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