Short Answer TypeThe following table gives the life times of 400 neon lamps:
|
Life time (in hours) |
Number of lamps |
|
300–400 |
14 |
|
400–500 |
56 |
|
500–600 |
60 |
|
600–700 |
86 |
|
700–800 |
74 |
|
800–900 |
62 |
|
900–1000 |
48 |
(i) Represent the given information with the help of a histogram.
(ii) How many lamps have a life time of more than 700 hours?
The following table gives the distribution of students of two sections according to the marks obtained by them:
|
Section A |
Section B |
||
|
Marks |
Frequency |
Marks |
Frequency |
|
0–10 |
3 |
0–10 |
5 |
|
10–20 |
9 |
10–20 |
19 |
|
20–30 |
17 |
20–30 |
15 |
|
30–40 |
12 |
30–40 |
10 |
|
40–50 |
9 |
40–50 |
1 |
Represent the marks of the students of both the sections on the same graph by two frequency polygons. From the two polygons compare the performance of the two sections.
The runs scored by two teams A and B on the first 60 balls in a cricket match are given below:
|
Number of balls |
Team A |
Team B |
|
1–6 |
2 |
5 |
|
7–12 |
1 |
6 |
|
13–18 |
8 |
2 |
|
19–24 |
9 |
10 |
|
25–30 |
4 |
5 |
|
31–36 |
5 |
6 |
|
37–42 |
6 |
3 |
|
43–48 |
10 |
4 |
|
49–54 |
6 |
8 |
|
55–60 |
2 |
10 |
Represent the data of both the teams on the same graph by frequency polygons.
[Hint. First make the class interval continuous.]
Long Answer TypeA random survey of the number of children of various age groups playing in a park was found as follows:
|
Age (in years) |
Number of children |
|
1–2 |
5 |
|
2–3 |
3 |
|
3–5 |
6 |
|
5–7 |
12 |
|
7–10 |
9 |
|
10–15 |
10 |
|
15–17 |
4 |
Draw a histogram to represent the data above.
Short Answer Type00 surnames were randomly picked up from a local telephone directory and a frequency distribution of the number of letters in the English alphabet in the surnames was found as follows:
|
Number of letters |
Number of surnames |
|
1–4 |
6 |
|
4–6 |
30 |
|
6–8 |
44 |
|
8–12 |
16 |
|
12–20 |
4 |
(i) Draw a histogram to depict the given information.
(ii) Write the class interval in which the maximum number of surnames lie.
Draw a frequency polygon to represent the following information:
|
Class |
Frequency |
|
25–29 |
5 |
|
30–34 |
15 |
|
35–39 |
23 |
|
40–44 |
20 |
|
45–49 |
10 |
|
50–54 |
7 |
The marks scored by 750 students in examination are given in the form of a frequency distribution table.
|
Marks |
No. of students |
|
600–640 |
16 |
|
640–680 |
45 |
|
680–720 |
156 |
|
720–760 |
284 |
|
760800 |
172 |
|
800–840 |
59 |
|
840–880 |
18 |
Draw a histogram to represent the above data.
Drhistogram and frequency polygon of the following data:
|
Marks |
No. of students |
|
20–30 |
5 |
|
30–40 |
12 |
|
40–50 |
6 |
|
50–60 |
20 |
|
60–70 |
18 |
|
70–80 |
10 |
|
80–90 |
16 |
|
90–100 |
3 |
The following table gives the performance of 90 students in a mathematics test of 100 marks.
|
Marks |
Number of students |
|
0–20 |
07 |
|
20–30 |
10 |
|
30–40 |
10 |
|
40–50 |
20 |
|
50–60 |
20 |
|
60–70 |
15 |
|
70–above |
08 |
|
Total |
90 |
Represent the given information with the help of a histogram.
