Samples
Measures of Center
Variation
Z-scores
Algebra 2!
100
Which is larger, a sample or a population?
A population.
100
True or false: every data set can only have one mean.
False
100
Does the following data set have much variation? 2, 4, 2, 3, 4, 2, 1, 4, 2, 3, 1, 3, 4
No.
100
True or False: a z score can never be negative.
False.
100
Solve for x: 4(x + 2) = 8x - 16
x = 6
200
If you poll every person you pass on the street, what method of sampling are you using?
Convenience
200
What is the mode of this data set? 2, 5, 6, 3, 6, 2, 5, 8, 9, 3, 4, 3, 11, 12
3.
200
What is the outlier of the following data set? 82, 88, 95, 78, 38, 80, 92, 85
38.
200
Is a z-score of 2.18 unusual?
Yes.
200
Solve the inequality: -4x + 8 < 2x - 16
x > 4
300
Write two questions that would require QUALITATIVE responses.
hair color, race, gender, favorite anything, etc.
300
Find the mean of this data set: 6, 12, 15, 20, 45, 2, 94, 30
8.
300
What would have a higher standard deviation: the weight of one-month-old babies, or the weight of 50-year-old adults?
Weight of adults.
300
SAT scores had a mean of 1026 and a standard deviation of 209. What is the z-score of someone who got a 1250 on the SATs?
1.07.
300
Multiply: (3x^2 + 4)(2x - 1)
6x^3 - 3x^2 + 8x - 4
400
Give an example of a loaded or biased question.
Many examples.
400
Find the median of this data set: 9, 2, 5, 11, 9, 4, 5, 10, 13, 15, 1
9.
400
What is the coefficient of variation of a data set that has a mean of 58 and a standard deviation of 4.3?
7.41%
400
ACT scores had a mean of 20.8 and a standard deviation of 4.8. What is the z-score of someone who scores 24 on the ACTs?
.67
400
Factor: x^2 + 4x - 32
(x + 8)(x - 4)
500
A farmer divides his land into 20 sections. He then takes 4 sections and samples EVERY tree in those four sections. Which sampling method did he use?
Cluster.
500
Jessica scored 80, 95, 24, 75, 82, and 88 on her first six tests. How much will her average increase if she scores another 88 on her next test?
2 points.
500
The standard deviation of the following data set is 4.04. 14, 19, 22, 18, 20, 10, 16 Find the coefficient of variation.
23.76%
500
SAT scores had a mean of 1026 and a standard deviation of 209. ACT scores had a mean of 20.8 and a standard deviation of 4.8. Who did relatively better: a student who scored 1300 on the SATs, or one who scores 28 on the ACTs?
SAT - 1.31 ACT - 1.5
500
Solve for x: x^2 - 7x + 6 = 0
x = 1, x = 6
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