Data Handling Class 8 Worksheet 1
1. The daily wages of 40 workers working in a factory are given below. Find the mean of the daily wages.
Numbers of workers |
Daily wages (in rupees) |
8 |
160 |
12 |
200 |
10 |
220 |
6 |
280 |
4 |
250 |
2. Construct a frequency distribution table for
the electricity bills (in Rs) of 40 houses in a locality using equal class
intervals, one of them being 100 – 150.
350, 320, 165,
334, 137, 380, 128, 118, 392, 154, 260, 384, 108, 254, 224, 210, 120, 330, 290,
310, 165, 368, 180, 315, 220, 320, 378, 222, 349, 115, 156, 175, 367, 215, 230,
280, 285, 290, 305, 308
3. The average wage of a worker during a week was
Rs 70 per day. During the first 4 days, the average wage was Rs 65 per day and
the average wage during the last 4 days was Rs 72 per day. What was his wages
on the 4th day?
4.
a. Determine the mode of the following marks obtained by 15
students in a class:
49,
42, 35, 38, 37, 49, 48, 37, 42, 43, 37, 42, 37, 43, 45
b.
Find the mode of the runs scored by 10 players in a one-day cricket match:
12,
35, 52, 105, 52, 97, 35, 97, 40, 52
5.
Find the median of the following:
a.
18, 10, 21, 7, 15, 22, 13
b.
12, 25, 10, 4, 15, 17, 18, 12, 14, 21, 19, 41, 32
c.
31, 21, 13, 19, 27, 18, 8, 15
6. The following table shows the scores of a
mathematics test of 40 students in a class.
Number of students |
40−50 |
50−60 |
60−70 |
70−80 |
80−90 |
90−100 |
Test scores |
5 |
6 |
7 |
10 |
9 |
3 |
Draw
a histogram to represent the above data.
7.
The following histogram shows the weight of new born babies in a
hospital.
Read
the graph and answer the following questions:
a.
How many new born babies are there in the hospital?
b.
How many babies weighs below 3 kg?
c. How many babies weighs above 2.5 kg?
8. Calculate the mode of the following distribution.
Heights (in cm) |
65 |
68 |
88 |
110 |
80 |
76 |
54 |
Numbers of plants |
6 |
5 |
4 |
8 |
13 |
14 |
5 |
9.
In a class of 72 students, 40 opted Hindi, 25 opted English and 7
opted French. Depict it by a pie chart.
Data Handling Class 8 Worksheet 2
1. Read the following table and choose the
correct answer from the given alternatives.
Class interval |
0−5 |
5−10 |
10−15 |
15−20 |
20−25 |
25−30 |
Frequency |
17 |
26 |
18 |
13 |
2 |
7 |
i. 15 ii. 20
iii. 17.5 iv. 5
b.
The lower limit of class 10–15 is
i. 25 ii. 10
iii.
15 iv. 35
c.
The upper limit of the class 25–30 is
i. 30 ii. 55
iii. 25
iv. 27.5
d.
The class mark of the class 5–10 is
i. 5 ii. 10
iii. 7.5 iv. 15
2.
Form a grouped frequency table of intervals 0–10, 10–20, 20–30
etc., from the following marks out of 50 obtained by a group of students.
6,
28, 33, 20, 42, 28, 38, 33, 31, 30, 49, 48, 50, 33, 28, 19, 10, 14, 13, 19, 38,
43, 30, 31, 26, 38, 39, 50, 50, 49
3. The area of carpet (in sq. metres) sold to various customers is noted below:
6.5,
7.3, 9.8, 6.3, 15.7, 3.3, 5.8, 11.4, 8.7, 6.4, 15.7, 12.5, 5.3, 9.7, 8.9, 10.2,
12.1, 5.7, 21.5, 9.0, 18, 25.3, 7.6, 14.4, 10.6, 26.7, 8.2, 10, 7.5, 9.8, 13.6
Choose
your own class intervals and prepare a frequency distribution table.
4. Given below are the marks of 50 students.
Class intervals (marks) |
0−20 |
20−40 |
40−60 |
60−80 |
80−100 |
Numbers of students |
2 |
4 |
18 |
14 |
12 |
Represent
the data by histogram.
5. The heights of 30 students in a class are
given as shown:
Heights (in cm) |
120−125 |
125−130 |
130−135 |
135−140 |
140−145 |
145−150 |
150−155 |
155−160 |
Numbers of students |
2 |
4 |
6 |
2 |
7 |
5 |
2 |
2 |
Draw
a bar graph to represent the above data.
6. The daily earnings of a group of people are
given in the following histogram.
Answer the following questions.
a. How many people earn Rs 80 to Rs 90 daily?
b. How many people earn Rs 100 to Rs 120 daily?
c. How many people are there in the group?
7. A certain amount of water is heated and the
temperature after some intervals is noted in the following table:
Time (in min) |
2 |
5 |
8 |
11 |
Temp. (in °C) |
13 |
19 |
25 |
31 |
Draw
time temperature graph and answer the following questions from the graph.
a.
Estimate the temperature after 6 minutes.
b. After what
time the temperature was 15°C?
8. The following table shows the displacement of
a body at different times. Draw a displacement time graph and find out how much
will the body be displaced after 4 seconds.
Time (in sec) |
3 |
5 |
6 |
7 |
Displacements (in km) |
9 |
17 |
21 |
25 |
9. A survey was made to find the types of music that a certain group of young people liked in a society. The pie chart in the given figure depicts the findings of this survey.
a.
If 20 people like classical music, how many young people are surveyed?
b.
Which type of music is liked by the maximum number of people?
c. If a company
were to make 1000 CDs, how many of each type would they make?
10.
Find the median when the following number of attendances during
first 14 days of the month in a classroom are noted.
23 24
22 30 25
29 20 28
27 20 19
30 21 26
11. The weight of 40 students is recorded and the
result is given below:
Heights (in kg) |
50 |
55 |
60 |
65 |
70 |
Number of students |
8 |
7 |
11 |
5 |
9 |
Find
the average weight.
12. The
angle of the sector of an outcome in a pie chart is 60°. Find the ratio of the
frequency of this outcome to the total frequency.
13. Jyoti’s average score in 4 subjects is 64. When she receives her score in her fifth subject, her average rose to 68. How much does she score in fifth subject?
14.
The number of defects observed in 18 finished goods in a factory
are noted as follows:
0 0 1 2 3 5 5 4 4 0 1 4 4 2 3 4 5 1
Find the mode of the observation.
ANSWERS
Worksheet 1
1. ₹ 214
2. Do it
yourself
3. ₹ 58
4. a.
37 b. 52
5. a. 15 b. 17
c.
18.5
6. Do it
yourself
7. a. 33 b. 21
c. 20
8. 76 cm
9. Do it
yourself
Worksheet 2
1. a.
iv b. ii
c. i d. iii
2. Do it
yourself
3. Do it
yourself
4. Do it
yourself
5. Do it
yourself
6. a. 10
people b. 2 people
c. 25
7. a. 21 °C b. 3 minutes
8. 13 km
9. a. 100 people b.
Romantic
c. Romantic = 400; Classical = 200
Semi-classical = 300; Folk = 100
10. 24.5 11. 60 kg
12. 1 : 6 13. 84
14. 4
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