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WorksheetsMeasures of Location
Total questions: 15
Worksheet time: 1hrs 15mins
What is the purpose of z-scores?
to describe the exact location of a score within a distribution
to find the mean of the distribution
to describe the shape of the distribution
to find the standard deviation of the distribution
What is the formula to find the z-score for population?
z=μσ−m
μ=mz
z=σx−μ
The sign of the z-score indicates whether the location is above(positive) or below(negative) the mean.
True
False
Find the z-score.
Mean = 40
Standard Deviation: 1.4
x = 42
1.43
1.28
-1.4
1.24
6, 7, 2, 1, 5, 2, 1, 6
Are the score points which divide a distribution into four equal parts
Measure of Position
Quartiles
Deciles
Percentiles
Are the score points which divide a distribution into ten equal parts
Measures of Position
Quartiles
Deciles
Percentiles
Are the score points which divide a distribution into one-hundred equal parts
Measures of Position
Quartiles
Deciles
Percentiles
The Median is also referred to as
the 25th Percentile
the 50th Percentile
the 75th Percentile
the 100th Percentile
Find the 46th percentile of this set of 11 values
22, 5, 12, 16, 31, 25, 30, 39, 32, 33, 18
5.06
5
22
25
If I tell you that you scored at the 55th percentile on your final exam, you would know:
55% of the class scored the same or worse than you did
You earned a 55% on the exam
You failed the exam
45% of the class scored worse than you did
Given the data set: 1, 2, 3, 6, 9, 11, 45, 102, calculate the percentile rank for 11.
70th percentile
62.5th percentile
72.5th percentile
68.75th percentile
1, 3, 4, 5, 6, 8, 11, 13, 17
126, 62, 144, 132, 144, 103
