EDUC 606
L
EARNING
A
CTIVITY
: S
TATISTICS
E
XERCISES
S
TUDENT
T
EMPLATE
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.
1.
(20 Pts,
1 pt each
). Calculate the mean, median, mode, standard deviation, and range for
the following sets of measurements (fill out the table):
a.
20, 18, 17, 17, 19
b.
15, 10, 7, 6, 4
c.
28, 28, 28, 28, 28
d.
10, 10, 7, 6, 4, 79
DISTRIB
MEAN
MEDIAN
MODE
SD
RANGE
a.
18.2
18
17
1.17
3
b.
8.4
7
None
3.83
11
c.
28
28
28
0
0
d.
19.3
8.5
10
26.77
75
2.
(20 Pts,
5 pts each
) Answer the following questions.
a.
Why is the SD in (d) so large compared to the SD in (b)?
The measurement 79 is an outlier that skews the data compared to the data set of
(b).
b.
Why is the mean so much higher in (d) than in (b)?
Due to the high SD of (d) being greater
than the SD of (b) makes the
distance from the means greater for (d) and (b).
c.
Why is the median relatively unaffected?
Despite the outlier the scores are relatively still low despite its effect
on
the data points.
d.
Which measure of central tendency best represents the set of scores in (d)? Why?
A-
Represents the set of central tendencies best because, the mean is 18.2, the median is 18,
and the mode is 17 which shows the SD of 1.17 and each measurement was closer to the
mean with only being 1 SD away.
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