Statistics Class 9 Worksheet with Answers
1. For which
value of x is the mode of the following data is 17?
15, 16, 17, 14, 17, 16, 13, x, 17, 16,
15, 15
2. Find the
median of first sixteen odd numbers.
3. Find the
median of first ten prime numbers.
4. A school has two sections. The mean mark of one section of size 40 is 60 and mean mark of other section of size 60 is 80. Find the combined mean of all the students of the school.
5. The median of the following observations arranged in ascending order 8, 9, 12, 18, (x + 2), (x + 4), 30, 31, 34, 39 is 24. Find x.
6. The mean weight of 180 students in a school is 50 kg. The mean weight of boys is 60 kg and the mean weight of the girls is 45 kg. Find the number of the boys and the number of girls in the school.
7. The marks secured by 15 students are 70, 55, 95, 62, 82, 65, 60, 68, 75, 58, 64, 85, 80, 90, 51. Find the median marks.
8. If the
mean of 2x + 3, 3x + 4, x + 7, x – 3, 4x – 7 is 14. Find the value of x.
9. The mean of 8 numbers is 15. If each number is multiplied by 2, what will be the new mean?
10. Find the median of the following data: 33, 31, 48, 45, 41, 92, 78, 51 and 61. If 92 is replaced by 29, what will be the new median?
11. The mean of 9 numbers is 50. If one number is included, their mean becomes 55. Find the included number.
12. Find the median of the following data: 15, 28, 72, 56, 44, 32, 31, 43 and 51. If 32 is replaced by 23, find the new median.
13. Draw a
histogram of the following data.
|
Class |
10-20 |
20-30 |
30-40 |
40-50 |
50-60 |
60-70 |
|
Frequency |
5 |
10 |
15 |
10 |
5 |
5 |
14. Thirty children spent about the number of hours they watched TV programmes in the previous week. The result was as follow:
2 1 10 4 8 10
10 5 2 8 9 8
4 3 5 6 1 4
6 8 2 5 8 8
3 9 3 10 4 6
(a) Prepare a
frequency table for the given data.
(b) Find the
mode of the data.
15. The daily
minimum questions solved by a student during a week were as under:
|
Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
Saturday |
|
30 |
35 |
40 |
36 |
28 |
37 |
Find the mean questions.
16. The blood
groups of 30 students of Class VIII are recorded as follows:
B, A, O, O, AB, O, A, O, B, A, O, B, A, O, O, A, AB, O, A, A, O, O, AB, B, A, O, B, A, B, O.
Represent this data in the form of a
frequency distribution table.
Which is the most common and which is the rarest blood group among these students?
17. Say the
statement are true or false.
Two sections of Class XII having 30
students each appeared for Science Olympiad. The marks obtained by them are
shown below:
46 31 74 68 42 54 14 61 83 48 37 26 8
64 57
93 72 53 59 38 16 88 75 56 46 66 45 61
54 27
27 44 63 58 43 81 64 67 36 49 50 76 38
47 55
77 62 53 40 71 60 58 45 42 34 46 40 59
42 29
Student having Marks above 80 are
exceptional. Student obtaining below 30 marks are failed.
(a) The number of
students who scored more than 89 marks is 2.
(b) The number of students who scored marks between 50-69 is 22.
(c) The number
of students who scored more than 49 marks is 32.
(d) The range
of the marks is 85.
(e) The number of
exceptional students is 4.
(f) Students who failed in the test are 7.
18. A family with a monthly income of ₹ 20,000 had planned the following expenditure per month under various heads.
|
Heads |
Expenditure (in thousand rupees) |
|
Grocery |
5 |
|
Medicine |
4 |
|
Fuel |
2 |
|
Education |
5 |
|
Entertainment |
2 |
|
Rent |
1 |
|
Miscellaneous |
1 |
Draw the bar graph for the above data.
19. Draw a bar graph of the following data.
|
Product |
A |
B |
C |
D |
E |
F |
|
Number of consumers |
150 |
130 |
180 |
160 |
120 |
150 |
1. 17 2. 16
3. 12 4. 72
5. 21
6. 60 boys; 120 girls
7. 68 8. 6
9. 30 10. 48; 45
11. 100 12. 43, 43
13. Do it yourself
14. b. 8
15. 34.33
16. Most common-O; Rarest-AB
17. a. False b. True
c. False d. True
e. True f. True
18. Do it yourself
19. Do it yourself
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