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Graphing & Numerical Measures Review
1)
Construct a box-and-whisker graph using the following data:
16, 18, 20, 14, 11, 17, 15, 16, 18, 10, 14, 15, 10
9
10
11
12
13
14
15
16
17
18
19
20
Questions 2 through 7 refer to the following:
The accompanying box-and-whisker plot represents SAT math scores
.
2)
According to the diagram shown, what is the median score?
3)
According to the diagram shown, what is the Five Number Summary?
4)
Identify Q1 and Q3:
Q1 = _______
Q3 = _______
5) What percent of the test takers scored below 400? _______
6) What percent scored between 400 and 560? _______
7) What is the range? _______ What is the Inter Quartile Range (IQR)? _______
8) Use the frequency table to answer the following questions.
a) The median lies in which interval of the frequency
table shown?
______________
b) The upper and lower quartiles lie in which intervals of
the frequency table shown?
____________ and ____________
21
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9.
a) Find the 5 Number Summary for the data set below:
2
7
9
________
10
11
________
12
13
________
13
14
________
18
24
________
b) Create a boxplot showing outliers for the data:
Axis: 0
c)
2
4
6
8
10
12
14
16
18
20
22
24
Anything beyond ________ and ________ would be outliers. (Show your work below!)
10. The 5 Number Summary for a data set is 6, 15, 19, 24, 33.
Data values below ________ and above ________ would be outliers.
Does this data set have outliers? __________
(Show work for credit!)
11) What does the standard deviation tell you? (What is it a measure of?)
12) Find the mean and standard deviation for the following sample:
12
16
19
25
(Keep at least two decimal places.)
Mean = _________ Std Deviation = _________
13) Find the variance for #12: ____________ (Keep at least 2 decimal places.)
14) Find the standard deviation for the following population: 1
(Keep at least two decimal places.)
2
2
3
_________
15) What are the symbols for population standard deviation ____ and sample std deviation ____
16) Compare the formulas for sample standard deviation and population standard deviation?
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17) If you know the standard deviation, how can you find the variance?
If you know the variance, how can you find the standard deviation?
18) Find the mean and standard deviation for the data shown in the table below:
Mean = __________
Standard deviation if data is a sample = __________
Standard deviation if data is a population = __________
(Round to hundredths / TWO decimal places.)
19) Which measures are strongly affected by outliers and which are “resistant” to outliers?
Mean
Median
Range
IQR
Standard deviation
20) How do the mean and median compare in each graph: