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Unit Test: Statistics | Mathematics (Maths) Class 10 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 number 12 & 13 carry 5 marks each.

Q1: If the mean of first n natural numbers is 3n/5, then the value of n is: (1 Mark)
(a) 3
(b) 
4
(c) 
5
(d) 
6

Q2: The class interval of a given observation is 10 to 15, then the class mark for this interval will be: (1 Mark)
(a) 11.5
(b) 
12.5
(c) 
12
(d) 
14

Q3: If the sum of frequencies is 24, then the value of x in the observation: x, 5,6,1,2, will be: (1 Mark)
(a) 4
(b) 
6
(c) 
8
(d) 
10

Q4: Find the class marks of classes 10-25 and 35-55. (1 Mark)
(a) 17.5, 20
(b) 18. 40
(c) 17.5, 42
(d) 17.5, 45

Q5: The method used to find the mean of a given data is(are): (1 Mark)
(a) Direct Method
(b) Assumed Mean Method
(c) Step Deviation Method
(d) All of  the above

Q6: If the mode of the following data is 7, then find the value of k. (2 Marks)
2, 4, 6, 7, 5, 6, 10, 6, 7, 2k + 1, 9, 7, 13

Q7: The mean of 6 numbers is 16 with the removal of a number the mean of remaining numbers is 17. Find the removed number.  (2 Marks)

Q8: The mean of the following frequency distribution is 70. Find the missing frequency x. (2 Marks)Unit Test: Statistics | Mathematics (Maths) Class 10

Q9: Find the mode of the following distribution of marks obtained by the students in an examination:
Unit Test: Statistics | Mathematics (Maths) Class 10
Given the mean of the above distribution is 53, using emperical relationship estimate the value of its median.  (3 Marks)

Q10: Find the missing frequency (x) of the following data if its mode is ₹240.  (3 Marks)
Q11: Consider the following distribution of daily wages of 50 workers of a factory. (3 Marks)
Unit Test: Statistics | Mathematics (Maths) Class 10Find the mean daily wages of the workers of the factory by using an appropriate method.

Q12: The mean of the following frequency distribution is 62.8 and the sum of all frequencies is 50. Compute the missing frequencies f1 and f2. (3 Marks)

Unit Test: Statistics | Mathematics (Maths) Class 10

Q13: Find the mean, mode and median of the following data: Unit Test: Statistics | Mathematics (Maths) Class 10

You can find the solutions of this Unit Test here: Unit Test (Solutions): Statistics

The document Unit Test: Statistics | Mathematics (Maths) Class 10 is a part of the Class 10 Course Mathematics (Maths) Class 10.
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FAQs on Unit Test: Statistics - Mathematics (Maths) Class 10

1. What are the basic concepts of statistics that every student should know?
Ans. Every student should understand key concepts such as mean, median, mode, variance, standard deviation, and distribution. These concepts form the foundation of statistical analysis and help in interpreting data effectively.
2. How can I improve my statistical problem-solving skills?
Ans. To improve your statistical problem-solving skills, practice regularly with different types of problems, utilize online resources and tutorials, and engage in study groups. Understanding real-world applications of statistics can also enhance your skills.
3. What are common statistical methods used in data analysis?
Ans. Common statistical methods include descriptive statistics, inferential statistics, regression analysis, hypothesis testing, and ANOVA. Each method serves different purposes and helps in analyzing data to draw meaningful conclusions.
4. How is statistical significance determined in hypothesis testing?
Ans. Statistical significance is determined by calculating a p-value, which indicates the probability of observing the data if the null hypothesis is true. If the p-value is less than a predetermined significance level (usually 0.05), the result is considered statistically significant.
5. What role does sampling play in statistics?
Ans. Sampling is crucial in statistics as it allows researchers to draw conclusions about a population without surveying every individual. A well-designed sample can provide accurate insights and reduce the time and cost associated with data collection.
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