School

Southern New Hampshire University **We aren't endorsed by this school

Course

PSY 223

Subject

Statistics

Date

Aug 23, 2023

Pages

3

Uploaded by kristawehr on coursehero.com

3-2 Exercise: Measures of Average and Measures of Deviation
1
3-2 Exercise: Measures of Average and Measures of Deviation
Krista Wehr
Southern New Hampshire University

3-2 Exercise: Measures of Average and Measures of Deviation
2
Exercise 14: Perception of Time (Section 4.1: p. 125)
14. Perception of Time. The data below are times (in seconds) recorded when
statistics students participated in an experiment to test their ability to determine when 1
minute (60 seconds) had passed.
What do these data suggest about students' perception of
time?
53 52 75 62 68 58 49 49
A.
The mean
is when all numbers in the data set are added together, total is found, and then
divided by the whole data set. The mean is
58.25 for the data set
.
a.
Mean = 53+52+75+62+68+58+49+49 = 466 (x) X 8 (n) = 58.25 seconds
B.
Median is the number that is the center of the data set since there is an even number, we
take the two middle numbers and then divide them by two. The median is
55.5
for the
data set
.
a.
Median = 49 49 52 53 58 62 68 75 = 53+58 = 111X2 = 55.5 seconds
C.
The mode is the number that is repeated the twice in the data set, so the mode is
49 for
the data set
.
a.
Mode = 53 52 75 62 68 58 49 49 = 49 seconds.
Exercise 13: Perception of Time (Section 4.3: p. 145)
13. Perception of Time. The following times (in seconds) were recorded when
statistics students participated in an experiment to test their ability to determine when 1
minute (60 seconds) had passed:
53 52 75 62 68 58 49 49

3-2 Exercise: Measures of Average and Measures of Deviation
3
A.
The range is between the highest and lowest values, so the range is
26 of the data set
a.
Range = 53 52
75
62 68 58
49
49 = 75-49 = 26 seconds.
B.
The standard deviation is found when the average of all deviations from the mean, so
the standard deviation is
9.467 of the data set.
a.
Step 1.
Deviation from mean = data value - mean
49 - 58.25 = 9.25 49 -
58.28 = -9.25 52 - 58.25 = -6.25 53 - 58.25 = -5.25 58 - 58.25 = -0.25 62 -
58.25 = 3.75 68 - 58.25 = 9.75 75 - 58.25 =
16.75
b.
Step 2 49 = 85.5625 49 = 85.5625 52 = 39.0625 53 = 27.5625 58= 0.0625 62
= 14.0625 68 = 95.0625 75 =
280.5625
c.
Step 3. = 627.5 Step 4. 627.5 / 7 = 89.64285714 Step 5. Standard Deviation =
9.467991188 seconds per or
9.47 seconds.

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