Class 10 Exam  >  Class 10 Notes  >  Mathematics (Maths) Class 10  >  Very Short Answer Questions: Statistics

Class 10 Maths Chapter 13 Question Answers - Statistics

ADDITIONAL QUESTIONS SOLVED

VERY SHORT ANSWER TYPE QUESTIONS

Q1. In the following distribution:Class 10 Maths Chapter 13 Question Answers - Statistics


The number of families having expenditure range in (Rs) 16000–19000 is:

(i) 15
(ii) 16
(iii)17
(iv) 19

Sol. (iv)19 [∵ 69 − 50 = 19]

Q2.  Construction of a cumulative frequency table is useful in determining the (i) mean (ii) mode (iii) median (iv) all the above

(i) mean
(ii) mode
(iii) median
(iv) all the above

Sol. (iii) median

Q3. The abscissa of the point of interaction of the ‘less than type’ and of the ‘more than type’ comutative frequency curve of grouped data gives its: 

(i) mode
(ii) mean
(iii) median
(iv) All the three above

Sol. (iii) median.

Q4. For the following distribution:Class 10 Maths Chapter 13 Question Answers - Statistics

 The modal class is

(i) 15−60
(ii) 30−40
(iii) 20−30
(iv) 10−20

Sol. (ii) 30−40

Q5. The formula    ̄x = a + h [ Σ fi uiΣ fi] is used to determine:

(i) mean
(ii) mode
(iii) median
(iv) all the three above of grouped data.

Sol. (i) mean

Q6. Consider the following distribution:Class 10 Maths Chapter 13 Question Answers - StatisticsThe frequency of the class 30−40 is:

(i) 51
(ii) 48
(iii) 4
(iv) 3

Sol. (iv) 3

Q7. Fill in the blank:

Mode = (..................) − 2 (Mean)

Sol. Mode = 3 (median) − 2 (Mean)

Q8. What is the modal class of the following frequency distribution?

Class 10 Maths Chapter 13 Question Answers - StatisticsSol. The Highest frequency 38 corresponds to 30−40.
∴ The modal class is 30–40.

Q9. Write the empirical relation between mean, mode and median.

Sol. The three measures i.e., mean, mode and median are connected by the following empirical relation:

Mode = 3 Median – 2 Mean

Q10. Write the median class of the following distribution:

Class 10 Maths Chapter 13 Question Answers - Statistics

 

Sol. We have:Class 10 Maths Chapter 13 Question Answers - Statistics


Here, n = 50 ⇒  n2 = 502  = 25

∵ 25 is cumulative frequency corresponding to the class 30−40.
∴ Median class is 30−40.

Q11. What is the modal class of the following frequency distribution?

Class 10 Maths Chapter 13 Question Answers - Statistics

 Sol. Here, the maximum class frequency is 27 and the class corresponding to this frequency is 40−50.
∴ The modal class is 40−50.

Q12. Find the median class of the following data:

Class 10 Maths Chapter 13 Question Answers - Statistics


Sol. We have:Class 10 Maths Chapter 13 Question Answers - Statistics

 

Here,  n = 100 ⇒  n2 = 1002  = 50

∴ The median class is 30−40

Q13. Find the class marks of classes 10− 25 and 35− 55.

Sol. We have 

 Class mark of 10 - 25 = 10 + 252  = 35  = 17.5

Class mark of 35 - 55 = 35 + 552  = 90  = 45

The document Class 10 Maths Chapter 13 Question Answers - Statistics is a part of the Class 10 Course Mathematics (Maths) Class 10.
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FAQs on Class 10 Maths Chapter 13 Question Answers - Statistics

1. What is the difference between mean, median, and mode in statistics?
Ans.The mean is the average of a data set, calculated by adding all the values and dividing by the number of values. The median is the middle value when the data is arranged in ascending order. The mode is the value that appears most frequently in the data set.
2. How do you calculate standard deviation?
Ans.Standard deviation is calculated by finding the square root of the variance. To find variance, calculate the mean of the data set, subtract the mean from each data point, square the result, and then average these squared differences.
3. What is a normal distribution?
Ans.A normal distribution is a bell-shaped curve where most of the data points cluster around the mean, and the probabilities for values further away from the mean taper off symmetrically in both directions.
4. What are the types of sampling methods in statistics?
Ans.The main types of sampling methods are simple random sampling, stratified sampling, cluster sampling, and systematic sampling. Each method has its own approach to selecting a subset of a population for analysis.
5. What is the purpose of hypothesis testing in statistics?
Ans.Hypothesis testing is used to determine whether there is enough statistical evidence to support a specific claim or hypothesis about a population based on sample data. It helps in making informed decisions based on data analysis.
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