The following is a set of data from a sample of n = 5. 1 -6 -9 1 4 a. Compute th
ID: 3232233 • Letter: T
Question
The following is a set of data from a sample of n = 5. 1 -6 -9 1 4 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. a. The mean is (Type an integer or a decimal. Do not round.) Determine the median. The median is (Type an integer or a decimal. Do not round.) Determine the mode. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The mode(s) is/are (Type an integer or a decimal. Do not round. Use a comma to separate answers as needed.) B. There is no mode for this data set. b. The range is Type an integer or a decimal. Do not round.) The variance is (Round to two decimal places as needed.) The standard deviation is (Round to two decimal places as needed.) The coefficient of variation is (Round to two decimal places as needed.) c. Compute the Z scores. (Round to two decimal places as needed.) Are there any outliers? Yes No d. What is the shape of the data set? Symmetrical Negative (left-skewed) Positive (right-skewed)Explanation / Answer
Solution:-
1,-6,-9,1,4
(a)
Mean = Sum of the Given Data / Total Number of Values = 4.2
Median = Middle Value of the Given Data Set = 4
Mode = Most Repeated element in a Set = 1
(b)
Range = Largest Value - Smallest Value = 8
Variance = s^2 = 29.70
Standard deviation = sqrt (sum(x-m)^2 / (n-1)) = 5.45
Coefficient of variation =Standard deviation / Mean = -3.02765
There are no outliers
Negative skewness of -0.32.
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