Question

Subject: Statistics

Please show complete work for the multiple-choice questions below

1.11.Which sample exhibits the most variability?
a. 2,4,6,8,l0,l2
b. 2,2,3,ll,l2,l2
c. 2,3,4,l0,ll,l2
d. 2,6,7,7,8,l2

2. Distributions A and B have the same mean and range. The standard
deviation of distribution A is l5, and of distribution B is 5. We may conclude
that:

a. the scores in distribution A are grouped closer to the mean than are the
scores in distribution B.
b. the scores in distribution B are grouped closer to the mean than are the
scores in distribution A.
c. there are three times as many scores from -l standard deviation to +l
standard deviation.
d. there are one-third as many scores from -l standard deviation to +l
standard deviation in distribution A.

3. Which of the following measures of variability is not dependent on the exact
value of each score?
a. range
b. mean deviation
c. standard deviation
d. variance

4. If 2 points were added to each of 500 scores in a sample having mean(x)=45
and s = 5, the new value of s for the sample would be:
a. 2.5
b. 3
c. 5
d. 7

5. In a certain sample with a mean of 50 and a standard deviation of l0, six
scores of l0 are added to the sample. The recomputed value of s will be:
a. greater than the original s
b. less than the original s
c. unchanged
d. dependent on the size of the original sample

Answer 1