Math 370 HW 1 - n 8 x x i 2-5. x Sample average: i 1 n i 1...

1
2-5. Sample average : 98 . 43
8
8 . 351
8
8
1 1
   
 
  i
i
n
i
i
x
n
x
x
Sample standard deviation :
 
29 . 12 143 . 151
7
1058
1 8
8
8 . 351
04 . 16528
1
40 . 16528 8 . 351
2
2
1
1
2
8
1
2
8
1
  











 







 
n
n
x
x
s
x x
n
i
i
n
i
i
i
i
i
i
Dot diagram :
. . .. . .. .
+---------+---------+---------+---------+---------+-------
24.0 32.0 40.0 48.0 56.0 64.0
2-6. Sample average :
mm 173 . 2
9
56 . 19
9
9
1 1
 




  i
i
n
i
i
x
n
x
x
Sample standard deviation :
 
mm 6560 . 0 4304 . 0
8
443 . 3
1 9
9
56 . 19
953 . 45
1
953 . 45 56 . 19
2
2
1
1
2
9
1
2
9
1
  











 







 
n
n
x
x
s
x x
n
i
i
n
i
i
i
i
i
i
Dot Diagram :
. . . . . . . ..
-------+---------+---------+---------+---------+--------- Crack length
1.40 1.75 2.10 2.45 2.80 3.15
2-28. a) 8 bins

2
Water Quality
Frequency
88 80 72 64 56 48 40 32
20
15
10
5
0
Histogram of Water Quality
Water Quality
Cumulative Frequency
88 80 72 64 56 48 40 32
60
50
40
30
20
10
0
Cummulative Frequency of Water Quality

3
b) 16 bins
Water Quality
Frequency
88 80 72 64 56 48 40 32
10
8
6
4
2
0
Histogram of Water Quality

4
Water Quality