Download Statistics Quiz Review Worksheet with Solutions

Alg 2 Statistics Quiz Review
Find the mean, median, and mode of the data set. Round to the nearest tenth.
1. test scores on a math exam:
92, 79, 99, 99, 70, 99, 83, 62, 92, 79, 79, 72, 94, 71, 98, 93, 77, 77, 70, 70, 99, 87
Find the outlier in the set of data.
2. 4.1, 3.1, 0.8, 4.9, 6.3, 3.8, 4.6, 5.2
Make a box-and-whisker plot of the data.
3. 10, 12, 17, 22, 28, 20, 11, 20
What are the mean, variance, and standard deviation of these values? Round to the nearest tenth.
4. 5, 7, 11, 3, 3, 7
5. The numbers of cookies in a shipment of bags are normally distributed, with a mean of 59 and a standard
deviation of 6. What percent of bags of cookies will contain between 53 and 65 cookies?
The bar graph shows the rents paid per month for apartments in an urban neighborhood. The curve
shows that the rents are normally distributed.
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6. Estimate the percent of apartment residents who pay from $700 to $749 per month.
7. The graph below displays how many pieces of candy Timmy and his five friends each received last
Halloween. Within how many standard deviations of the mean do the values fall?
16
18
20
22
24
26
28
30
32
34
36
38
40
42
8. A candidate for the Senate creates an automated message that calls every third listed phone number and
reminds them to vote for him in the upcoming election.
9. Suppose you are researching the eating habits of people your age. What sampling method could you use to
find the percent of students in your grade who eat five servings of fruit and vegetables each day? What is an
example of a survey question that does not have bias?
10. The average height of corn stalks in a field is 78 inches with a standard deviation of 2.8 inches. Sketch a
normal curve labeling the horizontal axis at one, two, and three standard deviations from the mean.
Alg 2 Statistics Quiz Review
Answer Section
1. ANS:
mean = 83.7, median = 81, mode = 99
PTS:
OBJ:
NAT:
TOP:
KEY:
2. ANS:
0.8
1
DIF: L2
REF: 11-6 Analyzing Data
11-6.1 To calculate measures of central tendency
CC S.IC.6| D.1.a| D.1.b| D.2.c| D.1.e| D.2.a
11-6 Problem 1 Finding Measures of Central Tendency
measure of central tendency | mean | median | mode
PTS:
OBJ:
NAT:
TOP:
3. ANS:
1
DIF: L2
REF: 11-6 Analyzing Data
11-6.1 To calculate measures of central tendency
CC S.IC.6| D.1.a| D.1.b| D.2.c| D.1.e| D.2.a
11-6 Problem 2 Identifying an Outlier
KEY: outlier
10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
PTS: 1
DIF: L2
REF: 11-6 Analyzing Data
OBJ: 11-6.2 To draw and interpret box-and-whisker plots
NAT: CC S.IC.6| D.1.a| D.1.b| D.2.c| D.1.e| D.2.a
TOP: 11-6 Problem 4 Using a Box-and-Whisker Plot
KEY: median | quartile | box-and-whisker plot
4. ANS:
mean = 6
variance = 7.7;
standard deviation = 2.8
PTS:
OBJ:
NAT:
KEY:
5. ANS:
68%
1
DIF: L3
REF: 11-7 Standard Deviation
11-7.1 To find the standard deviation and variance of a set of values
CC S.ID.4| CC S.IC.6| D.1.c
TOP: 11-7 Problem 1 Finding Variance and Standard Deviation
standard deviation | variance
PTS:
OBJ:
NAT:
TOP:
6. ANS:
25%
1
DIF: L3
REF: 11-10 Normal Distributions
11-10.1 To use a normal distribution
CC S.ID.2| CC S.ID.4| D.1.b| D.1.c| D.2.g
11-10 Problem 3 Analyzing a Normal Distribution
KEY: normal distribution
PTS: 1
DIF: L2
REF: 11-10 Normal Distributions
OBJ:
NAT:
TOP:
KEY:
7. ANS:
2
11-10.1 To use a normal distribution
CC S.ID.2| CC S.ID.4| D.1.b| D.1.c| D.2.g
11-10 Problem 1 Using the Normal Distribution to Estimate Weight
normal distribution
PTS: 1
DIF: L2
REF: 11-7 Standard Deviation
OBJ: 11-7.2 To apply standard deviation and variance
NAT: CC S.ID.4| CC S.IC.6| D.1.c
TOP: 11-7 Problem 3 Using Standard Deviation to Predict
KEY: standard deviation | mean
8. ANS:
systematic sample
PTS: 1
DIF: L3
REF: 11-8 Samples and Surveys
OBJ: 11-8.1 To identify sampling methods
NAT: CC S.IC.1| CC S.IC.3| CC S.IC.4| CC S.IC.6| D.3.a| D.3.b| D.3.c| D.3.d| D.5.a
TOP: 11-8 Problem 1 Analyzing Sampling Methods
KEY: sample | bias | systematic sample
9. ANS:
Answers may vary. Sample: Ask every student in your first class of the day. How many servings of fruit and
vegetables do you eat each day?
PTS:
OBJ:
NAT:
TOP:
10. ANS:
1
DIF: L3
REF: 11-8 Samples and Surveys
11-8.2 To recognize bias in samples and surveys
CC S.IC.1| CC S.IC.3| CC S.IC.4| CC S.IC.6| D.3.a| D.3.b| D.3.c| D.3.d| D.5.a
11-8 Problem 3 Designing a Survey
KEY: survey | bias
Mean
–1 deviation
+1 deviation
–2 deviations
+2 deviations
–3 deviations
69.6
PTS:
OBJ:
NAT:
TOP:
+3 deviations
72.4
75.2
78
80.8
83.6
86.4
1
DIF: L2
REF: 11-10 Normal Distributions
11-10.1 To use a normal distribution
CC S.ID.2| CC S.ID.4| D.1.b| D.1.c| D.2.g
11-10 Problem 2 Sketching a Normal Curve
KEY: normal distribution