Transcript Unit 1 Study Guide Answers

Unit 1 Study Guide Answers
1. Explain how data can be organized in grouped
and ungrouped frequency tables.
• Ungrouped is a table for organizing data by
showing the number of times each item
appears individually.
• Grouped is the organization in a table form
with classes of equal intervals (groups of
numbers) & their frequency.
2. When would it be more appropriate to use a
bar graph rather than a histogram?
• A histogram typically has intervals of a range
of numerical values (classes). A bar graph does
not show a range of values.
• A bar graph would be used for categorical
data.
• A bar graph would be used if the range of
numbers was small.
3. What is the difference between
categorical and numerical data?
• Categorical data describes a quality while
numerical gives a count.
• Categorical data is when you ask about your
favorite things. Numerical deals with
numbers.
Create a line plot for the Number of Pets in each
Family: 5, 0, 0, 1, 2, 3, 1, 5, 4, 0, 0, 3, 3, 3, 2, 2, 4,
4, 1, 1, 1, 2, 3, 2, 1, 3
Number of Pets in each Family
x
x
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x
x
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x
x
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x
x
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x
0
1
2
x
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x
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x
3
4
5
4. How many families have at least 2 or
more pets? _____
• 16 (Count from 2 all the way over to the
right.)
5. What is the mode of the data?
_____
• 1 and 3 (Both 1 and 3 have six x’s over them.
Yes, we can have more than one mode.)
6. The discounts offered by a super market are
as shown in the table. Create a histogram with
the correct representation of the data.
• I hope you copied the histogram from the
overhead.
Create a stem and leaf plot for the following test
grades data:
67, 82, 73, 42, 78, 86, 84, 99, 91, 94
Test Grades
Stem
Leaf
4 | 2
5 |
6 | 7
7 | 3, 8
8 | 2, 4, 6
9 | 1, 4, 9
7. What is the range of the data?
_____
• 99-42=57
(Largest # - Smallest # = Range)
8. What is the mean and median of the
data? _____
• Mean = 79.6 Median = 83
• You will not have to do the mean for the test.
The median is the middle number. Since there
are 2 middle numbers, do the average/mean
of the numbers. It is 83.
9. Create a histogram of the following number of
Olympic Medals won by 27
countries:
8, 88, 59, 12, 11, 57, 38, 17, 14, 28, 28, 26, 25,
23, 18, 8, 29, 34, 14, 17, 13, 13, 58, 12, 97, 10, 9
• Analysis of the data – I want you to find the
median and mode.
• The mode is 8, 12, 13, 14, 17, and 28. The
median is 18. The mean is 28.37. (You will not
need to do the mean for the test.)
10. Choose a graph to represent the following
data:
Ages at a party: 10, 14, 13, 12, 10, 14, 14, 12, 11,
9, 11, 9, 15
• Line Plot, Stem and Leaf Plot, Bar graph,
Pictograph or a Histogram could be used to
represent the data.