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Practice with Z-Scores -
Manipulating Z-Scores

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Practice Page
Directions: All questions pertain to normally distributed data. Grab your Z-Score Tables. You can also solve these problems with a graphing calculator.

1.
Find the probability, expressed to the nearest percent, that a variable has a z-score less than 0.42.
zscorepic3
       Choose:
 
65%
66%
67%
68%

 

 

2.
A normally distributed population of scores has a mean of 78 and a standard deviation of 3.5. Convert a score of 72 to an equivalent z-score.
zscorepic1
       Choose:
 
1.71
0.0436
-1.71
-0.0436

 

 

3.
Find the area between the mean and a z-score of 1.45.
zscirepic2
       Choose:
 
0.9265
0.4265
-0.9265
-0.4265

 

 

4.
Find the percent of data falling below a z-score
of -0.28.
zscorepic6
       Choose:
 
19%
38.97%
20%
41.68%

 

 

5.
A normally distributed set of test scores has a standard deviation of 8. Find the z-score of a test score of 65 if the mean of the data set of test scores is 42.
zscorepic4
       Choose:
 
2.875
5.75
-5.75
-2.875

 

 

6.
Standardized test scores are normally distributed.
The data set of test scores has μ = 240 and
σ = 25.
a)Find the z-score corresponding to the test score of 350. 
Choose:
4.40
4.42
4.44
4.46

b) If a z-score has the value of 3.4, find its corresponding test score.
Choose:
155
210
265
325
zscore5

 

 

7.
Find the area between a z-score of -1.25 and a z-score of +2.33.
zscorepic7
       Choose:
 
0.9901
0.1056
0.8845
1.0957

 

 

8.
The temperature is recorded in 65 cities on a given day in California. The average temperature is 74 degrees Fahrenheit with a standard deviation of 4 degrees. What is the z-score for a temperature of 71 degrees?
zscorepic8
       Choose:
 
0.75
-0.75
2.25
-2.25

 

 

9.
Find the area above a z-score of 0.57.
zscorepid9
       Choose:
 
1.7157
0.7157
-0.2843
0.2843

 

 

10.
The femur bone in the African antelope has a mean length of 1.5 feet with a standard deviation of 2 inches. Find the z-score that corresponds to a length of 21 inches.
zscorepic10
       Choose:
 
6.00
5.50
3.00
1.50

 


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