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

Class 10 Maths Chapter 13 Question Answers - Statistics

II. SHORT ANSWER TYPE QUESTIONS

Q1. Find the mode of the data:

Marks

0-10

10-20

20-30

30-40

40-50

No. of students

3

12

32

20

6


Sol. Here, modal class is 20–30

f1 = 32, f2 = 20 and f0 = 12

Since, the lower limit of the modal class

l = 20

Class 10 Maths Chapter 13 Question Answers - Statistics
Class 10 Maths Chapter 13 Question Answers - Statistics      [∵ h = 10]

Class 10 Maths Chapter 13 Question Answers - Statistics

Q2. The percentage marks obtained by 100 students in an examination are given below:

 

Marks

30-35

35-40

40-45

45-50

50-55

55-60

60-65

Frequency

10

16

18

23

18

8

7


Find the median from the above data.

Sol. We have:

Marks

Frequency

cf

30-35

10

10 + 0 = 10

35-40

16

16 + 10 = 26

40-45

18

18 + 26 = 44

45-50

23

23 + 44 = 67

50-55

18

18 + 67 = 85

55-60

8

8 + 85 = 93

60-65

7

7 + 93 = 100

 

Here,   Class 10 Maths Chapter 13 Question Answers - Statistics

∴ The median class is 45−50, such that

l = 45, cf = 44, f = 23 and h = 5

Class 10 Maths Chapter 13 Question Answers - Statistics

Q3. Write a frequency distribution table for the following data:

 

Marks

Above 0

Above 10

Above 20

Above 30

Above 40

Above 50

No. of students

30

28

21

15

10

0

 

Sol. Since,

30 − 28 = 2
28 − 21 = 7
21 − 15 = 6
15 − 10 = 5
10 − 0 =10

The required frequency distribution is:

Marks

Number of students

0-10

2

10-20

7

20-30

6

30-40

5

40-50

10

Total

30

 

Q4. Find the median of the following data:

 

Class interval

0-20

20-40

40-60

60-80

80-100

100-120

Frequency

7

8

12

10

8

5


Sol.

 

Class Interval

Frequency

Cumulative

frequency

0-20

7

7

20-40

8

15

40-60

12

27

60-80

10

37

80-100

8

45

100-120

5

50

Total

50

 

 

∵ Median class is 40–60  Class 10 Maths Chapter 13 Question Answers - Statistics

∴ l = 40, f = 12, CF = 15 and h = 20

Since,  Class 10 Maths Chapter 13 Question Answers - Statistics
Class 10 Maths Chapter 13 Question Answers - Statistics

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 statistics?
Ans. Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It involves methods for summarizing and describing data, making inferences and predictions based on data, and testing hypotheses.
2. What are the different types of data in statistics?
Ans. In statistics, there are primarily four types of data: nominal, ordinal, interval, and ratio. Nominal data represents categories or labels, ordinal data has a natural order or rank, interval data has equal intervals between values, and ratio data has a meaningful zero point and equal intervals.
3. How do you calculate the mean, median, and mode?
Ans. The mean is calculated by summing up all the values in a dataset and dividing it by the number of values. The median is the middle value when the data is arranged in ascending or descending order. The mode is the value that appears most frequently in the dataset.
4. What is the difference between correlation and causation?
Ans. Correlation refers to a statistical relationship between two variables, where a change in one variable is associated with a change in the other variable. Causation, on the other hand, implies that one variable directly influences or causes a change in another variable. Correlation does not necessarily imply causation, as there may be other factors or variables at play.
5. How can statistics be used in real life?
Ans. Statistics has various applications in real life. It can be used in analyzing and interpreting data in fields such as business, economics, healthcare, social sciences, and sports. Statistics helps in making informed decisions, predicting trends, assessing risks, conducting surveys, and conducting research studies.
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