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Unit Test: Statistics | Mathematics (Maths) Class 9 PDF Download

Time: 1 hour
M.M. 30 
Attempt all questions. 
Question numbers 1 to 5 carry 1 mark each. 
Question numbers 6 to 8 carry 2 marks each. 
Question numbers 9 to 11 carry 3 marks each. 
Question numbers 12 & 13 carry 5 marks each.

Q1. Name a graphical representation where frequencies are represented by line segments. (1 Mark)

Q2. What is the formula to find the class mark of a class interval? (1 Mark)

Q3. If the class limits are 30–40, what is the class size?  (1 Mark)

Q4. Why is a kink or break shown in a histogram sometimes? (1 Mark)

Q5. The class mark of the class 90-120 is  (1 Mark)
(a) 90
(b) 105
(c) 115
(d) 120

Q6. The blood groups of 30 students are recorded as follows:
A, B, O, A, AB, O, A, O, B, A, O, B, A, AB, B, A, AB, B,
A, A, O, A, AB, B, A, O, B, A, B, A
Prepare a frequency distribution table for the data. (2 Marks)

Q7. The points scored by a basketball team in a series of matches are as follows: (2 Marks)
17, 7, 10, 25, 5, 10, 18, 10 and 24. Find the range.

Q8. The width of each of the five continuous classes in a frequency distribution is 5, and the lower class limit of the lowest class is 10. The upper-class limit of the highest class is
(a) 15
(b) 25
(c) 35
(d) 40

Q9. The points scored by a basket ball team in a series of matches are as follows:
17, 2, 7, 27, 25, 5, 14, 18, 10, 24, 48, 10, 8, 7, 10, 28
Find the median and mode for the data. (3 Marks)

Q10. If the mean of the following data is 20.2, find the value of p: (3 Marks)
Unit Test: Statistics | Mathematics (Maths) Class 9 

Q11. The number of family members in 10 flats of society is
2, 4, 3, 3, 1, 0, 2, 4, 1, 5.
Find the mean number of family members per flat. (3 Marks)

Q12. The marks obtained (out of 100) by a class of 80 students are given below:
Unit Test: Statistics | Mathematics (Maths) Class 9

Construct a histogram to represent the data above. (5 Marks)

Q13. The expenditure of a family on different heads in a month is given below:
Unit Test: Statistics | Mathematics (Maths) Class 9
Draw a bar graph to represent the data above. 
(5 Marks)

The document Unit Test: Statistics | Mathematics (Maths) Class 9 is a part of the Class 9 Course Mathematics (Maths) Class 9.
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FAQs on Unit Test: Statistics - Mathematics (Maths) Class 9

1. What is the importance of statistics in everyday life?
Ans. Statistics play a crucial role in everyday life by helping individuals and organizations make informed decisions based on data analysis. It is used in various fields such as healthcare, business, education, and social sciences to interpret data, identify trends, and predict outcomes. For instance, statistics are essential in determining the effectiveness of medical treatments, understanding consumer behavior, and evaluating educational methods.
2. What are the basic concepts of statistics that Class 9 students should know?
Ans. Class 9 students should familiarize themselves with several key concepts in statistics, including mean, median, mode, range, and frequency distribution. The mean is the average of a set of numbers, the median is the middle value when data is ordered, and the mode is the value that appears most frequently. Understanding these concepts helps students analyze data sets effectively.
3. How can graphical representation enhance the understanding of statistical data?
Ans. Graphical representation, such as bar graphs, histograms, and pie charts, enhances the understanding of statistical data by providing a visual context that makes patterns and trends easier to identify. Visuals can simplify complex data, making it more accessible and engaging, thus aiding in better comprehension and interpretation of information.
4. What role does probability play in statistics?
Ans. Probability is a fundamental concept in statistics that measures the likelihood of an event occurring. It helps in making predictions and informed decisions based on the analysis of random phenomena. Understanding probability allows students to assess risks and uncertainty in various situations, which is essential in fields such as finance, science, and everyday decision-making.
5. How do Class 9 exams assess students' understanding of statistics?
Ans. Class 9 exams typically assess students' understanding of statistics through a combination of theoretical questions and practical problem-solving tasks. Students may be asked to compute measures of central tendency, analyze data sets, and interpret graphs. The exams aim to evaluate not only the students' knowledge of statistical concepts but also their ability to apply these concepts in real-world scenarios.
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