1) Given the following rawdata {1, 3, 5, 5, 5, 7, 7, 8, 9, 10}, find a) = ______
ID: 2917868 • Letter: 1
Question
1) Given the following rawdata {1, 3, 5, 5, 5, 7, 7, 8, 9, 10}, find
a) = _____________________(round to nearest wholenumber)
b) median =________
c) mode (s), if any_______
d) range = _________
e) s = __________(round to nearest whole number)
f) construct a 3 standard deviation line
g) what value is exactly 2 standard deviations below themean?
h) what % of the data is within 1 standard deviation of the? ____________________(round to nearest whole number %)
x
f
xf
2
32
3
43
4
12
675
1
2) Given the followingfrequency distribution, find
a) n = _______
b) = _______
c) Median = ________
d) Mode = ______
e) What % of the data isgreater than 3? ___________ (round to nearest whole number%)
f) Is the mean or the median a better measure ofcenter? why? ______________________
g) Is this study descriptive or inferential?_________________
h) Is this sample data or populationdata? ________________
i) Is this data quantitative orqualitative? ____________
j) Is this data discrete or continuous? _________
3) Given the following rawdata {45, 12, 60, 54, 32, 46, 15, 55, 47, 85, 49}construct agrouped frequency distribution with the first class being 12– 26 and equal class widths
class
lower limit-upper limit
f
1
2
3
4
5
What is the class width? ___________
What is the lower limit of the 3rdclass? ______________
4) A data set is normallydistributed with mean = 550 and standard deviation = 25
Find the % of data that is
a) below500? ________
b) Above575? ________
c) Between 525 and600? ______
d) What is themode? ______
e) Construct a 3 standarddeviation line
________________________________________ x
________________________________________ z
f) What data value isexactly 3 standard deviations above the mean? ___________
For problems 5 – 11 answer T (true) or F (false)
5) the median is a resistantmeasure of center ___________
6) the number of dogs youown is quantitative data ______
7) If your data value isequal to the mean your z score is 0 __________
8) A data set can have nomode _________
9) It is possible to have anegative standard deviation ________
10) If your data value is below the mean, yourdeviation from the mean is negative.
11) On your English exam , you scored a 90. Onyour Statistics exam, you scored an 82. The mean of theEnglish exam is 79 and the standard deviation is 4 while the meanof the statistics exam is 61 and the standard deviation is7. On which test did you do better (relatively) and why?
x
f
xf
2
32
3
43
4
12
675
1
Explanation / Answer
1) Given the following raw data{1, 3, 5, 5, 5, 7, 7, 8, 9, 10}, find
a) mean = 6
b) median = 5+7/2=6
c) mode 5
d) range = 1 to 10
e) s = 2.6 round to 3
f) construct a 3 standard deviation line (3 times 2.6 =7.8) so6 plus or minus 7.8 so: -1.8 to +13.8
g) what value is exactly 2 standard deviations below the mean?6-5.2=0.8
h) what % of the data is within 1 standard deviation 6-2.6 to6+2.6 , so 6 of the 10 numbers = 60%
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