Question

The following set of data is from a sample of n=6. 8 2 7 8 10 11 a. Compute the mean, median, and mode. b. Compute the range, variance, standard deviation, and coefficient of variation. c. Compute the Z scores. Are there any outliers? d. Describe the shape of the data set.

Answer 1

(D) the data shape is not any sepcific ,but the graph below

Given the sample data set 8, 2, 7, 81 10, 11 when n-6. (@) mean = = out us 8+2+7 +8+10+1 46 6 ņ767 = 7.666 arrange the data by Mumenical orden of increasing 2, 7, 818110,11 So, Range = Max{x;}- Min{x;} 11- 2 29. varineu I (X; -)? £ {x;²_ À 2 FŐ {2+84.. +11) - (4-67)" 8.6304 aeed Standard deviation varian Co- efficient Of Variation Mean V8-6304 = 2:987. Stand and x 1001 deviation SD-> 2.937 X 100 7. = 38.299. let 7.68 Then So, the above data values be Xi Vi= 1, 2,--,6 Z- Score X; - mean SD Z scrore of a is -1.93, for 7 is - 0.22, Ź - score of 8 is 0.11, tro lo is 0.79, 2- Score firm 11 is 1:13 Here we see that S = 7.25, 82= 93= 3= 9.5. IS R = 83-8,= 9.5 - 7.25 -2.25 so, yes outlier present. so,

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