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Terms in this set (5)
Describe and explain the difference between the mean, median, and mode.
The mean is the sum of the scores divided by the total number of scores. The median is the middle score when all the scores in a distribution are arranged in order of value. The mode is the value with the greatest frequency in a distribution.
Make up examples in which the median would be the preferred measure of central tendency.
In which of the following examples is the median the preferred measure of central tendency? Select all that apply.
b) The distribution of annual household income
D) The distribution of the number of children in a household
A developmental psychologist
studies the number of words that seven infants have learned at a particular age. The numbers are
12,
14,
7,
1,
2,
40,
and
20.
Figure the (a) mean, (b) median, and (c) standard deviation for the number of words learned by these seven infants. (d) Explain what the results mean to a person who has never had a course in statistics.
D: The mean is the average number of words learned found by dividing the total number of words learned by the number of infants in the study. The median is the middle value in the ordered list of number of words learned. The standard deviation is roughly the average amount the number of words learned for the infants differ from the mean.
On a measure of anxiety, the mean is
84
and the standard deviation is
11.
What are the Z scores for each of the following raw scores? (a)
106
and (b)
60.
Z= X-M/SD
X=106 M=84 SD=11
Z=2
Suppose the people living in a city have a mean score of
41
and a standard deviation of
5
on a measure of concern about the environment. Assume that these concern scores are normally distributed. Using the
50%−34%−14%
figures, approximately what percentage of people have a score (a) above
41,
(b) above
46,
(c) above
31,
(d) above
36,
(e) below
41,
(f) below
46,
(g) below
31,
and (h) below
36?
a) 50% - since the data score 41 is equal to the mean value 41 about 50% should fall above the mean
b) since the data score 46 is 5 above the mean, it is 1 standard deviation above to mean, and as such, approximately 16%
c)
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