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C Secure I https://learing.serno.edu/rmoct htiview.php?id-1448323 Apps For quick sccss plc yur bookarke hoe on the booiemars bar Import bookmarks now SOUTHEAST MISSOURI STATE UNIVERSITY 1873 Fall 2017 QM257-02 Business Statistics l 10368 Fall 2017 QM257-02 Business Statistics I 10368 KhalaAahammarl 9-29/17 3:20 PM Quiz: Chapter 03 Quiz Timo Remalning: 00:43:16 Submit Qutz This Question: 20 pts 6of13(p complate) This Quiz: 100 pta posaible Question Help The fellcwingodata is from a sample cn- b. Compute the rarge, variance, standad deviation and cceftic ent of variat on. d. Doscrbc the shapo of the daa sct Raund to thra dacimal placas aa needad.j Z Score Cick to select your anewerel.Explanation / Answer
4, 7, 5, 4, 10, 12
a. Mean = (4 + 7 + 5 + 4 + 10 + 12) / 6
= 7
Mode = most repeating value = 4
Sorting the list => 4, 4, 5, 7, 10, 12
Median is the middle value = (5 + 7)/2 = 6.
b. Range = maximum value - minimum value
= 12 - 4 = 8
Sum of differences SS = (12 - 7)2 + (10 - 7)2 + (7 - 7)2 + (5 - 7)2 + (4 - 7)2 + (4 - 7)2
= 25 + 9 + 0 + 4 + 9 + 9
= 56
Variance = 56 / 5 = 11.2
Standard deviation = 11.2 = 3.347
Co-efficient of variation = 3.347/6 = 0.558.
c. X = + Z
4 = 7 + 3.347Z
=> Z = -3/3.347 = -0.896
7 = 7 + 3.347Z
=> Z = 0
5 = 7 + 3.347Z
=> Z = -2/3.347 = -0.598
10 = 7 + 3.347Z
=> Z = 3/3.347 = 0.896
12 = 7 + 3.347Z
=> Z = 5/3.347 = 1.1494
Since there is no value greater than 3 or less than -3 there are no outliers.
Answer is no.
d. The shape of the data set is
Positive(right-skewed) because the mean is greater than the median.
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