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10 questions · self-marked practice — reveal the answer and mark yourself.

Question 13 Marks
The following is the distribution of weights (in kg) of 52 persons:
Weight in kg
Persons
30-40
10
40-50
15
50-60
17
60-70
6
70-80
4
  1. What is the lower limit of class 50-60?
  2. Find the class marks of the classes 40-50, 50-60.
  3. What is the class size?
Answer
  1. The lower limit of the class 50-60 is 50.
  2. Class mark for the class 40-50:
$\frac{40+50}{2}$

$=\frac{90}{2}$

$=45$

Again, class mark for the class 50-60:

$\frac{50+60}{2}$

$=\frac{110}{2}$

$=55$
  1. Here the class size is 40-30, i.e. 10.
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Question 23 Marks
The marks obtained by 40 students of class VIII in an examination are given below:
16, 17, 18, 3, 7, 23, 18, 13, 10, 21, 7, 1, 13, 21, 13, 15, 19, 24, 16, 3, 23, 5, 12, 18, 8, 12, 6, 8, 16, 5, 3, 5, 0, 7, 9, 12, 20, 10, 2, 23.
Divide the data into five groups, namely 0-5, 5-10, 10-15, 15-20 and 20-25 and prepare a grouped frequency table.
Answer
The frequency table for the marks of 40 students of class VIII in an examination is given below:
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Question 33 Marks
The heights (in cm) of 30 students of class VIII are given below:
155, 158, 154, 158, 160, 148, 149, 150, 153, 159, 161, 148, 157, 153, 157, 162, 159, 151, 154, 156, 152, 156, 160, 152, 147, 155, 163, 155, 157, 153.
Prepare a frequency distribution table with 160-164 as one of the class intervals.
Answer
The frequency table is given below:
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Question 43 Marks
A die was thrown 25 times and following scores were obtained:
1, 5, 2, 4, 3, 6, 1, 4, 2, 5, 1, 6, 2, 6, 3, 5, 4, 1, 3, 2, 3, 6, 1, 5, 2.
Prepare a frequency table of the scores.
Answer
The frequency of the scores of the die is shown below:
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Question 53 Marks
The marks scored by 20 students in a test are given below:
54, 42, 68, 56, 62, 71, 78, 51, 72, 53, 44, 58, 47, 64, 41, 57, 89, 53, 84, 57.
Complete the following frequency table:
(Marks in class intervals) Tally marks Frequency (no. of children)
40-50    
50-60    
60-70    
70-80    
80-90    
What is the class interval in which the greatest frequency occurs?
Answer
The frequency table can be completed as follows:
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Question 63 Marks
In a study of number of accidents per day, the observations for 30 days were obtained as follows:
6, 3, 5, 6, 4, 3, 2, 5, 4, 2, 4, 2, 1, 2, 2, 0, 5, 4, 6, 1, 6, 0, 5, 3, 6, 1, 5, 5, 2, 6.
Prepare a frequency distribution table.
Answer
The frequency table for the number of accidents per day for a period of 30 days is given below:
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Question 73 Marks
Prepare a frequency table of the following ages (in years) of 30 students of class VIII in your school:
13, 14, 13, 12, 14, 13, 14, 15, 13, 14, 13, 14, 16, 12, 14, 13, 14, 15, 16, 13, 14, 13, 12, 17, 13, 12, 13, 13, 13, 14.
Answer
The frequency table of the ages of 30 students of class VII in the school is given below:
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Question 83 Marks
Following data gives the number of children in 40 families:
1, 2, 6, 5, 1, 5, 1, 3, 2, 6, 2, 3, 4, 2, 0, 0, 4, 4, 3, 2, 2, 0, 0, 1, 2, 2, 4, 3, 2, 1, 0, 5, 1, 2, 4, 3, 4, 1, 6, 2, 2.
Represent it in the form of a frequency distribution.
Answer
The data can be put in the form of frequency distribution in the following manner:
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Question 93 Marks
The daily minimum temperatures in degrees Celsius recorded in a certain Arctic region are as follows:
-12.5, -10.8, -18.6, -8.4, -10.8, -4.2, -4.8, -6.7, -13.2, -11.8, -2.3, 1.2, 2.6, 0, -2.4, 0, 3.2, 2.7, 3.4, 0, -2.4, -2.4, 0, 3.2, 2.7, 3.4, 0, -2.4, -5.8, -8.9, -14.6, -12.3, -11.5, -7.8, -2.9.
Represent them as frequency distribution table taking -19.9 to -015 as the first class interval.
Answer
The frequency table of the daily minimum temperatures is given below:
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Question 103 Marks
Prepare a frequency table of the following scores obtained by 50 students in a test:
42, 51, 21, 42, 37, 37, 42, 49, 38, 52, 7, 33, 17, 44, 39, 7, 14, 27, 39, 42, 42, 62, 37, 39, 67, 51, 53, 53, 59, 41, 29, 38, 27, 31, 64, 19, 53, 51, 22, 61, 42, 39, 59, 47, 33, 34, 16, 37, 57, 43.
Answer
The frequency table of 50 students is given below:
Marks
Number of Students
Marks
Number of Students
Marks
Number of Students
7
2
33
2
49
1
14
1
34
1
51
3
16
1
37
4
52
1
17
1
38
2
53
3
19
1
39
4
54
1
21
1
41
1
57
1
22
1
42
6
59
2
27
2
43
1
61
1
29
1
44
1
62
1
31
1
47
1
67
1
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