Q1: Using the following intervals for the scores on a 30-point quiz, which interval has the least frequency?
Scores: 21, 27, 20, 29, 23, 21, 21, 27, 26, 25
Intervals: 19–21, 22–24, 25–27, and 28–30
Q2:Using the following intervals for the scores on a 30-point quiz, how many x’s would fall over the interval of 19-21 on a line plot?
Scores: 21, 27, 20, 29, 23, 21, 21, 27, 26, 25
Intervals: 19–21, 22–24, 25–27, and 28–30
Q3:Given the following scores on a 30-point quiz, which of the following is an accurate frequency table?
21, 27, 20, 29, 23, 21, 21, 27, 26, 24
Q4:Given the following scores on a 30-point quiz, what is the frequency of a score of 27?
21, 27, 20, 29, 23, 21, 21, 27, 26, 25
Answer:
Sandeep Garg 2018 for Class 11 Commerce Economics Chapter 1 – Organisation Of Data
Page No 4.49:
Question 1:
Following are the figures of marks obtained by 40 students. You ae required to arrange them in ascending and in descending order.
15 18 16 14 10 6 5 3 8 7
22 18 14 19 17 8 6 4 10 3
12 16 15 13 11 10 18 22 14 19
11 18 22 14 25 21 17 8 9 10
ANSWER:
Marks in Ascending Order:
3, 3, 4, 5, 6, 6, 7, 8, 8, 8, 9, 10, 10, 10, 10, 11, 11, 12, 13, 14, 14, 14, 14, 15, 15, 16, 16, 17, 17, 18, 18, 18, 18 ,19, 19, 21, 22, 22, 22, 25
Marks in Descending Order:
25, 22, 22, 22, 21, 19, 19, 18, 18, 18, 18, 17, 17, 16, 16, 15, 15, 14, 14, 14, 14, 13, 12, 11, 11, 10, 10, 10, 10, 9, 8, 8, 8, 7, 6, 6, 5, 4, 3, 3
Page No 4.49:
Question 2:
Heights (in inches) of 35 students of a class in given below. Classify the following data in a discrete frequency series
58 60 72 68 58 55 58 72 55 68 66 60
60 55 76 66 58 72 68 60 55 68 55 58
62 66 72 58 60 68 55 58 65 72 68
ANSWER:
In the form of frequency distribution, the given data can be arranged as follows.
Height
(in inches) Tally Marks Frequency
55
58
60
62
65
66
68
72 IIII I
IIII II
IIII
I
I
III
IIII I
IIII I 6
7
5
1
1
3
6
6
∑f=35
Page No 4.49:
Question 3:
The following are the marks of the 30 students in statistics. prepare a frequency distribution taking the class−intervals as 10−20, 20−30 and so on.
12 33 23 25 18 35 37 49 54 51 37 15 33 42 45
47 55 69 65 63 46 29 18 37 46 59 29 35 45 27
ANSWER:
In the form of frequency distribution, the given data can be arranged as follows.
Marks Tally Marks Number of students
(Frequency)
10 – 20
20 – 30
30 – 40
40 – 50
50 – 60
60 – 70 IIII
IIII
IIII II
IIII II
IIII
III 4
5
7
7
4
3
∑f=30
Page No 4.50:
Question 4:
Following are the marks (out of 100) obtained by 50 students in statistics:
70 55 51 42 57 45 60 47 63 53
33 65 39 82 55 64 58 61 65 42
50 52 53 45 45 25 36 59 63 39
65 54 49 54 64 75 42 41 52 35
30 35 15 48 26 20 40 55 46 18
make a frequency distribution taking the first class interval as 0-10.
ANSWER:
In the form of frequency distribution, the given data can be arranged as follows.
Marks Tally Marks Number of students
(Frequency)
0 – 10
10 – 20
20 – 30
30 – 40
40 – 50
50 – 60
60 – 70
70 – 80
80 – 90 –
II
III
IIII II
IIII IIII II
IIII IIII IIII
IIII IIII
II
I 0
2
3
7
12
14
9
2
1
∑f=50
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