Basic Stats paper

Running Head: BASIC STATISTICS ASSIGNMENT 1
BASIC STATISTICS ASSIGNMENT
NAME:
UNIVERSITY:
COURSE CODE:
LECTURER:
DATE:
BASIC STATISTICS ASSIGNMENT 2
Qn. 1.
a) Ratio
b) Interval
c) Ratio
d) Nominal
e) Ordinal
Qn.2.
Stem-and-Leafy Display
STEM
LEAF
08
8,9
09
3,4,4,5,6,6,7
10
3,3,4,6,7,8
11
1,2,2,3,3,7,7,8,9
12
0,0,4,5,5,5,7,7,7
13
2,4,5,6,8,9,9
14
2,3,8
15
5,5,6
BASIC STATISTICS ASSIGNMENT 3
Qn.3.a)
Frequency Distribution Table
Class Interval
Frequency
50-54
1
55-59
3
60-64
11
65-69
10
70-74
13
75-79
19
80-84
6
85-89
9
90-94
4
95-99
4
b)
Less than Type
More than Type
Marks
Marks
Cumulative Frequency
Less than 54
More than 50
80
Less than 59
More than 55
79
Less than 64
More than 60
68
Less than 69
More than 65
58
Less than 74
More than 70
45
Less than 79
More than 75
26
Less than 84
More than 80
20
Less than 89
More than 85
11
Less than 94
More than 90
7
Less than 99
More than 95
3
BASIC STATISTICS ASSIGNMENT 4
Qn.4.
Profit
Midpoint (X)
Frequency
(F)
XF
X^2
FX^2
100-119
110
17
1,870
12,100
205,700
120-139
130
53
6,890
16,900
895,700
140-159
150
119
17,850
22,500
4,447,500
160-179
170
194
32,980
28,900
5,606,600
180-199
190
327
62,130
36,100
11,804,700
200-219
210
208
43,680
44,100
9,172,800
220-239
230
2
460
52,900
105,800
Totals
920
165,560
52900
32,238,800
Estimated mean ()




Variance (var)





 

Standard deviation =



Mode
L 

f
m-1
= 194
f
m
= 327
BASIC STATISTICS ASSIGNMENT 5
f
m+1
= 208
w = 20
Estimated mode 



   
Karl Pearson’s coefficient of skewness is given by
S
k1




Which implies that the distribution is negatively skewed
Qn.5. a)
X
Y
XY
X^2
Y^2
1.0
3.9
3.9
1.00
15.21
1.5
4.4
6.6
2.25
19.36
2.0
5.8
11.6
4.00
33.64
2.5
6.6
16.5
6.25
43.56
3.0
7.0
21
9.00
49.00
3.5
7.1
24.85
12.25
50.41
4.0
7.3
29.2
16.00
53.29
4.5
7.7
34.65
20.25
59.29
 
 
 



 
Slope (b)

















Intercept (b)





Regression equation (y) 
  

BASIC STATISTICS ASSIGNMENT 6
b).
Replacing 3.2 for x in the regression equation, we get
     

c). because we have derived the regression equation (y) with values up to 4.5 grams which is
much far from 20 grams.
d). product moment correlation coefficient (r) is given by


  
Where S
xy
is given by 

 


S
xx
 




S
xy






  


BASIC STATISTICS ASSIGNMENT 7
Qn.6.a)
 




b). 
 
 )








Qn. 7.
20C
3



Qn.8.
BASICSTATISTICS
Total letters = 15
Repetitive A=2
S=4
I=3
C=2
T=3


  

END

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