CBSE Class 9 Statistics Worksheet Set A

Read and download free pdf of CBSE Class 9 Statistics Worksheet Set A. Download printable Mathematics Class 9 Worksheets in pdf format, CBSE Class 9 Mathematics Chapter 14 Statistics Worksheet has been prepared as per the latest syllabus and exam pattern issued by CBSE, NCERT and KVS. Also download free pdf Mathematics Class 9 Assignments and practice them daily to get better marks in tests and exams for Class 9. Free chapter wise worksheets with answers have been designed by Class 9 teachers as per latest examination pattern

Chapter 14 Statistics Mathematics Worksheet for Class 9

Class 9 Mathematics students should refer to the following printable worksheet in Pdf in Class 9. This test paper with questions and solutions for Class 9 Mathematics will be very useful for tests and exams and help you to score better marks

Class 9 Mathematics Chapter 14 Statistics Worksheet Pdf

 

Question: Classify the data in Q1 above as primary or secondary data.
Answer: 
The information which is collected by the investigator himself with a definite objective in his mind is called as primary data whereas when the information is gathered from a source which already had the information stored, it is called as secondary data. It
can be observed that the data in 1, 3, and 5 is secondary data and the data in 2 and 4 is primary data.

Question: The distance (in km) of 40 engineers from their residence to their place of work were found as follows:
5 3 10 20 25 11 13 7 12 31
19 10 12 17 18 11 32 17 16 2 7 9
7 8 3 5 12 15 18 3
12 14 2 9 6 15 15 7 6 12
Construct a grouped frequency distribution table with class size 5 for the data given above taking the first interval as 0 - 5 (5 not included). What main feature do you observe from this tabular representation?
Answer: 
It is given that a grouped frequency distribution table of class size 5 has to be constructed. Therefore, the class intervals will be 0 − 5, 5 − 10, 10 − 15, 15 −20… By observing the data given as above, a grouped frequency distribution table can be constructed as follows.

CBSE Class 9 Statistics Worksheet Set A

CBSE Class 9 Statistics Worksheet Set A-

It can be observed that there are very few engineers whose homes are at more than or equal to 20 km distance from their work place. Most of the engineers have their workplace up to 15 km distance from their homes.

 

Question: The heights of 50 students, measured to the nearest centimeters, have been found to be as follows:
161 150 154 165 168 161 154 162 150 151
162 164 171 165 158 154 156 172 160 170
153 159 161 170 162 165 166 168 165 164
154 152 153 156 158 162 160 161 173 166 161
159 162 167 168 159 158 153 154 159
(i) Represent the data given above by a grouped frequency distribution table, taking the class intervals as 160 - 165, 165 - 170, etc.
(ii) What can you conclude bout their heights from the table?
Answer:
(i) A grouped frequency distribution table has to be constructed taking class intervals 160 − 165, 165 − 170, etc. By observing the data given above, the required table can be constructed as follows.

Height (in cm) Number of students (frequency )
150 − 155 12
155 − 160 9
160− 165 14
165 − 170 10
170 − 175 5
Total
 
50


(ii) It can be concluded that more than 50% of the students are shorter than 165 cm.

 

Question: Three coins were tossed 30 times simultaneously. Each time the number of heads occurring was noted down as follows:
0 1 2 2 1 2 3 1 3 0
1 3 1 1 2 2 0 1 2 1
3 0 0 1 1 2 3 2 2 0
Prepare a frequency distribution table for the data given above.
Answer: 
By observing the data given above, the required frequency distribution table can be constructed as follows.

Number of heads Number of times (frequency)
0 6
1 10
2 9
3 5
Total 30

 

Question: Thirty children were asked about the number of hours they watched TV programmes in the previous week. The results were found as follows:
1 6 2 3 5 12 5 8 4 8
10 3 4 12 2 8 15 1 17 6
3 2 8 5 9 6 8 7 14 12
(i) Make a grouped frequency distribution table for this data, taking class width 5 and one of the class intervals as 5 - 10.
(ii) How many children watched television for 15 or more hours a week?
Answer:

(i) Our class intervals will be 0 − 5, 5 − 10, 10 −15…..
The grouped frequency distribution table can be constructed as follows.

Hours Number of children
0 − 5 10
5 − 10 13
10 −15 5
15 −20 2
Total 30

(ii) The number of children who watched TV for 15 or more hours a week is 2 (i.e., the number of children in class interval 15 − 20).

 

Question: A survey conducted by an organisation for the cause of illness and death among the women between the ages 15 − 44 (in years) worldwide, found the following figures (in
%):

CBSE Class 9 Statistics Worksheet Set A--
(i) Represent the information given above graphically.
(ii) Which condition is the major cause of women’s ill health and death worldwide?
(iii) Try to find out, with the help of your teacher, any two factors which play a major role in the cause in
(ii) above being the major cause.

Answer:
(i) By representing causes on x-axis and family fatality rate on y-axis and choosing an appropriate scale (1 unit = 5% for y axis), the graph of the information given above can be constructed as follows.

CBSE Class 9 Statistics Worksheet Set A--1

 

 

Question: Given below are the seats won by different political parties in the polling outcome of a state assembly elections:

CBSE Class 9 Statistics Worksheet Set A--2
Political Party A B C D E F
Seats Won 75 55 37 29 10 37
(i) Draw a bar graph to represent the polling results.
(ii) Which political party won the maximum number of seats?
Answer:

(i) By taking polling results on x-axis and seats won as y-axis and choosing an appropriate scale (1 unit = 10 seats for y-axis), the required graph of the above information can be constructed as follows.

CBSE Class 9 Statistics Worksheet Set A--3
Here, the rectangle bars are of the same length and have equal spacing in between them.
(ii) Political party ‘A’ won maximum number of seats.

 

Question: The following table gives the life times of neon lamps:

Length (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 lifetime of more than 700 hours?

Answer:
(i) By taking life time (in hours) of neon lamps on x-axis and the number of lamps on y-axis, the histogram of the given information can be drawn as follows.

CBSE Class 9 Mathematics Statistics Worksheet Set A-1


Here, 1 unit on y-axis represents 10 lamps.
(ii) It can be concluded that the number of neon lamps having their lifetime more than 700 is the sum of the number of neon lamps having their lifetime as 700− 800, 800 − 900, and 900 − 1000.
Therefore, the number of neon lamps having their lifetime more than 700 hours is 184. (74 + 62 + 48 = 184)

 

 

Chapter- 14 Statistics
 
1 MARKER QUESTIONS
 
1 Find the class size and class mark of the class 15-20.
 
2 The width of each of five continuous classes in frequency distribution is 6 and the lower classlimit of the lowest class is 12. Find the upper class-limit of the highest class.
 
3 Find the range and mode of the data : 7, 9, 7, 5, 9, 9, 18, 6, 8, 9.
 
4 If the mode of 4, 9, 5, 4, 9, 5, 4, 9 and x - 10 is 9, then find the value of x.
 
5 Find the mean of the first five prime numbers.
 
6 Find the median of the given data : 144, 145, 147, 148, 149, 151, 152, 154, 155, 160.
 
2 MARKER QUESTIONS
 
7 The mean of 20 numbers is 9. If 3 is added to every number what will be the new mean?
 
8 The numbers 2,3,4,4,(x+3), 5, 5, 6, 7 have been put in ascending order. If the median is 5, find x. Hence, find the mode of the above data.
 
9 If 10, 13, 15, 18, (x + 1), (x + 3), 30, 32, 35, 41 are ten observations in an ascending order with median 24, find the value of x.
 
10 The numbers of runs scored by a cricket player in 25 innings are as follows:
 
26, 35, 94, 48, 82, 105, 53, 0, 39, 42, 71, 0, 64, 15, 34, 67, 0, 42, 124, 84, 54, 48, 139, 64, 47. Find the mean.
 
11 The final marks in Mathematics of 30 students are as follows:
 
53, 61, 48, 60, 78, 68, 55, 100, 67, 90, 75, 88, 77, 37, 84, 58, 60, 48, 62, 56, 44, 58, 52, 64, 98, 59, 70, 39, 50, 60.
 
Arrange these marks in ascending order in groups 30 to 40; 40 to 50, etc. Then answer the following questions. If 40 is the pass mark how many failed?
 
12 The mean of five numbers is 40. If one number is excluded, their mean becomes 38. Find the excluded number.
 
3 MARKER QUESTIONS
 
13 The following table shows the number of students participating in various games in a school.
CBSE Class 9 Statistics Worksheet Set A 1
 
Draw a bar graph to represent the above data.
 
14 The following is the distribution of weights (in kg) of 50 persons:
 
CBSE Class 9 Statistics Worksheet Set A 2
Draw a histogram for the above data.
 
15 If the mean of the observations: x, x + 3, x + 5, x + 7, x + 10 is 9, find the mean of the last three Observation.
 
16 Find the missing frequencies in the following frequency distribution if it is known that the mean of the distribution is 50. The total frequency is 120.
 
CBSE Class 9 Statistics Worksheet Set A 3
 
17 The mean for the following data is 20.6. Find the value of p.
 
CBSE Class 9 Statistics Worksheet Set A 4
 
18 If mean of 10 observations is 20 and that of another 15 observations is 16, then find the mean of all 25 observations.
 
4 MARKER QUESTIONS
 
19 Draw a histogram and hence a frequency polygon for the following frequency distribution
 
CBSE Class 9 Statistics Worksheet Set A 5
 
20 Draw a histogram and hence a frequency polygon for the following frequency distribution.
 
CBSE Class 9 Statistics Worksheet Set A 6
 
 
Please click on below link to download CBSE Class 9 Statistics Worksheet Set A

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CBSE Class 9 Mathematics Chapter 14 Statistics Worksheet

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