question

For any distribution, what is the z-score corresponding to the median?
Cannot be determined from the information given
1
N
0

answer

**Explanation:** 1N01N01z

question

Which of the following z-score values represents the location farthest from the mean?
z = +1.00
z = +0.50
z = -1.00
z = -2.00

answer

z = -2.00

question

What position in the distribution corresponds to a z-score of z = -1.00?
Below the mean by 1 point
Below the mean by a distance equal to 1 standard deviation
Above the mean by a distance equal to 1 standard deviation
Above the mean by 1 point

answer

Below the mean by a distance equal to 1 standard deviation

**Explanation:** A z-score of -1.00 corresponds to a position in the distribution that is below the mean by 1 point.

question

For a sample with M = 50 and s = 12, what is the X value corresponding to z = -0.25?
46
47
54
53

answer

47

**Explanation:** The X value corresponding to z = -0.25 is 47.

question

For a sample of n= 30 scores, X = 45 corresponds to z = 1.50 and X = 40 corresponds to z = +1.00. What are the values for the sample mean and standard deviation?
M = 35 and s = 10
M = 35 and s = 15
M = 30 and s = 15
M = 30 and s = 10

answer

M = 30 and s = 10

**Explanation:** The sample mean is 35 and the sample standard deviation is 10.

question

For a sample of n= 30 scores, X = 45 corresponds to z = 1.50 and X = 40 corresponds to z = +1.00. What are the values for the sample mean and standard deviation?
+0.25
+0.75
+1.25
+1.50

answer

1,5

**Explanation:** The sample mean is 30 and the sample standard deviation is 15.

question

A sample of n= 20 scores is transformed into z-scores. What is the value of SS, the sum of squared deviations, for the set of 20 z-scores?
0
20
19
Cannot be determined without more information

answer

19

**Explanation:** The value of SS, the sum of squared deviations, for the set of 20 z-scores, is 0.

question

If an entire population with ฮผ= 60 and ฯ = 8 is transformed into z-scores, then the distribution of z-scores will have a mean of ___ and a standard deviation of ___.
0; 8
60; 1
0; 1
60; 8 (unchanged)

answer

0; 1

**Explanation:** If an entire population with ?= 60 and ? = 8 is transformed into z-scores, then the distribution of z-scores will have a mean of 0 and a standard deviation of 1.

question

A population of scores has ยต= 44. In this population, a score of X = 40 corresponds to z = -0.50. What is the population standard deviation?
4
-8
2
8

answer

8

**Explanation:** The population standard deviation is 4.

question

A population distribution has ฯ = 6. What position in this distribution is identified by a z-score of z = +2.00?
2 points below the mean
12 points above the mean
2 points above the mean
12 points below the mean

answer

12 points above the mean

**Explanation:** A z-score of z = +2.00 is 2 points above the mean.