# Stat 160 Postquiz 1, Over Sections 1.5-1.7

This work is to be submitted for credit. Attempt all problems. Make sure you have attempted all problems before you submit. You may solve the problems several times, but only the first submission will get credit.

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1. Consider the following data.
`  12 11 9 3 6 5 2 1 3 16 2 3`
Obtain the five basic statistics, minimum, Q1, median, Q3, maximum, respectively. For Q1 and Q3, use the quartile rule that's in the book Quartile Rule is on this page .
1,2,5,11,16
1,3,3,9,16
1,2,4,9,16
1,2,4,11,16
2. Are there any outliers in the above data? If so which?

Yes,16
No
Yes,1
Yes, 12 and 16.
3. Consider the following 2 samples:
```        A       B
4       4
8       8
6       6
7       7
10      100
```
Compute the sample mean and Hodges-Lehmann estimates, respectively, of A and B.

A:mean=6,HL=6 ; B:mean=6,HL=7
A:mean=7,HL=6 ; B:mean=7,HL=7
A:mean=7,HL=7 ; B:mean=25,HL=7
A:mean=7,HL=6 ; B:mean=25,HL=6
4. Consider the above samples again. Compute the IQR and the variance, respectively, of the two samples.

A:IQR=2,var=5 ; B:IQR=2,var=5
A:IQR=2,var=5 ; B:IQR=2,var=1760
A:IQR=2,var=2.236 ; B:IQR=2,var=42
A:IQR=1,var=2.236 ; B:IQR=1,var=42
5. Ten batteries from each of three brands (A, B, and C) were put on test to determine their lifetimes (in hours). Obtain comparison boxplots. Use these boxplots to obtain the 5 basic descriptive statistics for each brand. Bigger means better here. Which brand seems best, if any?
```A:    181    289    214    102     191     94    179     87    161    155

B:    39     65     22     64     22    191     99     32    142    317

C:    24     95    139    122     41    360    318     34     43     18```
A
B
C
All are the same.