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Understanding Z-Scores + PSYC 3010 Chapter 5B + PSYC 3010 Chapter 5A Flashcards | StudBud
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Understanding Z-Scores + PSYC 3010 Chapter 5B + PSYC 3010 Chapter 5A
Understanding Z-Scores + PSYC 3010 Chapter 5B + PSYC 3010 Chapter 5A
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1
What does a z-score represent?
Standard deviation
Standard score
Mean
Variance
2
Which scenario exemplifies the use of z-scores?
Measuring weight
Comparing exam scores
Timing a race
Calculating area
3
What does a z-score directly quantify?
Total scores
Data symmetry
Variability
Distance from mean
4
How are z-scores used in normalization?
Find median
Determine mode
Calculate mean
Standardize data
5
Why are z-scores effective in comparing different datasets?
They use raw scores
They simplify datasets
They use the same mean
They standardize values
6
What is the z-score for the 95th percentile?
2.58
1.64
1.96
0.95
7
Which formula represents the z-score calculation?
μ = z(X - σ)
σ = (X - μ) / z
z = (X - μ) / σ
X = zσ + μ
8
What statistical tools are prerequisites for understanding z-scores?
Mean and median
Probability
Mean and SD
Mode and range
9
Which z-score is most unusual?
0
3
1
-2
10
Which formula calculates a z-score?
(X - μ) * σ
(X + μ) * σ
(X + μ) / σ
(X - μ) / σ
11
What is a standardized distribution?
Normal distribution
Skewed distribution
z-score distribution
Bimodal distribution
12
Standard deviation of z-score distribution is?
100.00
1.00
0.00
10.00
13
What is the z-score for the 99th percentile?
1.96
0.99
1.64
2.58
14
True or False: z-scores change distribution shape
False
True
Never
Sometimes
15
How do you solve for a raw score from a z-score?
X = μ / zσ
X = σz - μ
X = z + μσ
X = zσ + μ
16
Given mean, raw score, and z-score, compute?
Standard deviation
Range
Median
Mode
17
Standardizing a distribution involves?
Transforming raw scores to z-scores
Adjusting the median
Changing the shape
Altering the mode
18
What is the z-score for a score of 80 in a class with mean 70 and SD 10?
+1
-1
0
+2
19
How is a z-score calculated?
(X - Mean) / SD
SD / Mean
X * Mean / SD
Mean / SD
20
IQ has μ=? and σ=?
100, 15
30, 5
500, 100
50, 10
21
What does a z-score of 0 represent?
Above average
No data
Exactly average
Below average
22
Mean of z-score distribution is always?
10
1
100
0
23
How does standard deviation affect the calculation of z-scores?
It is the mean
It is the denominator
It is irrelevant
It is the numerator
24
How does a z-score transform a sample distribution?
No transformation
Keeps same shape
Changes shape
Reverses order
25
What does a z-score of +1.5 indicate?
None
Below average
Average
Above average
26
What does the sign of a z-score indicate?
Direction from mean
Magnitude of score
Accuracy of data
Complexity of calculation
27
What is the goal of research study?
Determine median
Find mode
Calculate mean
Evaluate treatment effect
28
What role does algebra play in computing z-scores?
Calculates SD
Solves for X
Determines mean
None
29
What does a z-score establish?
Relationship between mean and median
Relationship between mode and range
Relationship between raw score, mean, and standard deviation
Relationship between variance and standard deviation
30
How is z-score related to standard deviation?
Inversely proportional
Directly proportional
Equal
Unrelated
31
Why standardize using z-scores?
Decrease data variability
Simplify calculations
Compare different tests
Increase score value
32
What is the primary purpose of z-scores according to the text?
Standardize distributions
Increase data points
Reduce data size
Calculate averages
33
z-scores allow comparison of?
Unrelated data
Random variables
Different distributions
Same distributions
34
How do z-scores help in hypothesis testing?
Calculate mean
Determine significance
Find median
Determine mode
35
What does a high z-score indicate?
Far from mean
No data
Close to mean
At mean
36
Why might z-scores be preferred over raw scores?
Looks more complex
Less statistical work
Easier to calculate
More precise comparison
37
What does a z-score of +1.00 indicate about a position in a distribution?
Above average
Below average
No specific position
Average
38
What is the z-score for the 50th percentile?
2
-1
0
1
39
How do z-scores relate to probability?
Determine mode
Determine likelihood
Calculate mean
Find median
40
How do z-scores assist in educational settings?
Decrease grading time
Track attendance
Standardize performance
Increase student interaction
41
What does a negative z-score indicate?
Above mean
Below mean
At mean
No data
42
Which z-score is most common?
2
0
1
-1
43
What does a negative z-score signify?
Above mean
Equal to mean
Below mean
No significance
44
What is the z-score for the mean?
2
0
-1
1
45
Which z-score is closest to the mean?
1
2
-1
0
46
What does a z-score of 2.5 signify?
No data
At mean
Far above mean
Far below mean
47
If 2 standard deviations equal 6 points, 1 equals?
3 points
1 point
2 points
6 points
48
How does one interpret a z-score of +1.33?
Slightly above mean
Well below mean
Exactly at mean
Far above mean
49
Why use z-scores in statistics?
Compare data points
Determine mode
Calculate mean
Find median
50
True or False: z-scores change the mean
False
True
Never
Sometimes
51
What does a z-score of 0 mean?
At mean
Above mean
No data
Below mean
52
Which z-score corresponds to 68% of data?
-1
0
1
2
53
True or False: z-scores are comparable
Sometimes
True
False
Never
54
What impact do differing SDs have on z-scores?
Alters the mean
No impact
Changes magnitude
Simplifies the scores
