Assignment.1 (Lessons 1-10)
Question 1:Marks: 5+5=10
i) From the table given below, Find
(a) Class boundaries
(b) How many men fall in the age of 50 or above?
(c) How many men fall between the age group of 60 and 69?
Age Group (Men)
f
20-29
5
30-39
4
40-49
5
50-59
8
60-69
12
70-79
16
Total
50
(ii) Write down the following figure in the form of frequency table and also find the relative frequency.
Question 2:Marks: 5+5=10
(i) Calculate the mode from the following continuous distribution.
Height
Number (f)
57.5-60.0
6
60.0-62.5
26
62.5-65.0
190
65.0-67.5
281
67.5-70.0
412
70.0-72.5
127
72.5-75.0
38
Total
1080
(ii). Use the stem and leaf plot to answer these questions.
Statistics Test Scores
Stem
Leaf
6
1 1 4 6 7 8
7
2 3 5 7 9
8
1 3 5 6 6 7 7 8 9
9
0 0 3 4 6 8 9 9
10
0 0
a) What is the best test score?
b) How many students take the test?
c) How many students scored 90?
d) What is the lowest score?
e) Find the difference between the high and low scores.
Question 3:Marks: 3+3+4=10(i) Find the median for the following discrete frequency distribution.
Number of pupils per class
Number of Classes
20
1
21
0
22
1
23
3
24
6
25
9
26
8
27
10
28
7
Total
45
(ii) Calculate the weighted mean from the following data
Item
Expenditure
Weights
Food
290
7.5
Rent
54
2.0
Clothing
98
1.5
Fuel and light
75
1.0
Other items
75
0.5
(iii) A man gets a rise of 10% in salary at the end of his first year of service and further of 20 % and 25 % at the end of the second and third year respectively. The rise in each case is calculated on his salary at the beginning of the year. To what annual percentage increase is this equivalent?
