Answer To: Module 2 V. Demydovych, Summer 2021 Module 2 Assignment 1. Consider the following data set:...
Suraj answered on Jun 02 2021
Solution 1:
Consider the given data set,
0.04, 0.10, -0.05, -0.02, 0.08, 0.15, -0.09
(a)
Since there are total 7 observations.
Thus, arrange the values in ascending order as follows:
-0.09, -0.05, -0.02, 0.04, 0.08, 0.10, 0.15
25th percentile
Thus, 2nd observation -0.05 is 25th percentile.
50th percentile
Thus, 4th observation 0.04 is 50th percentile.
75th percentile
Thus, 5nd observation 0.08 is 75th percentile.
(b)
The boxplot for the data is given as follows:
There is no outlier in the boxplot.
Solution 2:
Consider the given data as follows:
-10, 12, -8, -2, -6, 8
(a)
Range
(b)
Let A = -8
MAD
Thus, MAD is 10.33.
(c)
Variance
Standard deviation
Solution 3:
Mean = 80
Standard deviation (sd) = 5
(a)
First find the value of k.
Mean – k(sd) = lower limit
80 - 5K = 70
80 - 70 = 5k
10 = 5k
K = 2
To get the percentage use .
Hence, 75% of the data set lies between 70 and 90.
(b)
First find the value of k.
Mean – k(sd) = lower limit
80 - 5K = 65
80 - 65 = 5k
15 = 5k
K = 3
To get the percentage use .
Hence, 89% of the data set lies between 65 and 95.
Solution 4:
Mean,
Standard...