Please show work! 1. Find the Median, 1st interquartile, and 3Rd Interquartlie f
ID: 3303633 • Letter: P
Question
Please show work!
1. Find the Median, 1st interquartile, and 3Rd Interquartlie for the following sample data set:
21, 2, 25, 7, 23, 5, 15, 5, 21, 10, 6, 23
2. Find the sample varience for the following sample data set:
20.2, 21.8 , 17.6, 21.6, 19.5, 19.8, 18.6
3. Suppose we compare a random sample of daily closing prices of two stocks,A & B.
ST.VEV. of A =$.50 & ST.DEV. of B =$2.50
Ita appears that stock B has more variability. but.....
mean of A: $5.00 - Mean of B: $50.00
CV of A: ____ CV of B: ____
If the final analysis, stock___ has more variability.
4. Calculate mean, median, range, standard deviation, range, IQR, & coefficient of variation for the following sample data.
5,2,7,8,12,11,9,4,5,10
Explanation / Answer
Solution: For all questions we use MINITAB
1).
Median = 15
1st quartile = 6
3rd quartile = 23
2). Using excel,
=VAR(--data set range--)
Sample Variance=2.289048
3).
For A) CV = 0.1
For B) CV = 0.05
Stock A has more variability.
4).
Mean=7.3
Median = 7.5
Range = 10
Standard deviation = 3.2677
IQR = Q3 – Q1 = 10.25-4.75 = 5.5
CV = standard deviation / mean = 0.4477
Done