BSEB Class 10 Maths Chapter 14 Statistics Ex 14.1 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 14 Statistics Ex 14.1 Book Answers |
Bihar Board Class 10th Maths Chapter 14 Statistics Ex 14.1 Textbooks Solutions PDF
Bihar Board STD 10th Maths Chapter 14 Statistics Ex 14.1 Books Solutions with Answers are prepared and published by the Bihar Board Publishers. It is an autonomous organization to advise and assist qualitative improvements in school education. If you are in search of BSEB Class 10th Maths Chapter 14 Statistics Ex 14.1 Books Answers Solutions, then you are in the right place. Here is a complete hub of Bihar Board Class 10th Maths Chapter 14 Statistics Ex 14.1 solutions that are available here for free PDF downloads to help students for their adequate preparation. You can find all the subjects of Bihar Board STD 10th Maths Chapter 14 Statistics Ex 14.1 Textbooks. These Bihar Board Class 10th Maths Chapter 14 Statistics Ex 14.1 Textbooks Solutions English PDF will be helpful for effective education, and a maximum number of questions in exams are chosen from Bihar Board.Bihar Board Class 10th Maths Chapter 14 Statistics Ex 14.1 Books Solutions
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Materials | Textbook Solutions/Guide |
Format | DOC/PDF |
Class | 10th |
Subject | Maths Chapter 14 Statistics Ex 14.1 |
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BSEB Class 10th Maths Chapter 14 Statistics Ex 14.1 Textbooks Solutions with Answer PDF Download
Find below the list of all BSEB Class 10th Maths Chapter 14 Statistics Ex 14.1 Textbook Solutions for PDF’s for you to download and prepare for the upcoming exams:BSEB Bihar Board Class 10th Maths Solutions Chapter 14 Statistics Ex 14.1
Question 1.
A survey was conducted by a group of students as a part of their environment awareness programme, in which they collected the following data regarding the number of plants in 20 houses in a locality. Find the mean number of plants per house.
Which method did you use for finding the mean, and why?
Solution:
Calculation of Mean
We have used direct method because numerical values of xi and fi are small.
Question 2.
Consider the following distribution of daily wages of 50 workers of a factory :
Find the mean daily wages of the workers of the factory by using an appropriate method.
Solution:
Let the assumed mean, A = 150 and class-size, h = 20.
So, ui = 𝑥𝑖−Aℎ = 𝑥𝑖−15020
We construct the table :
𝐸¯ = A + hΣ𝑓𝑖𝑢𝑖Σ𝑓𝑖 = 150 + 20 x −1250
= 150 – 4.8
= 145.2
Hence, mean = Rs 145.20
Question 3.
The following distribution shows the daily pocket allowdnce of children of a locality. The mean pocket allowance is Rs 18. Find the missing frequency f.
Solution:
Let the assumed mean, A = 16, class size, h = 2,
So, ui = 𝑥𝑖−Aℎ = 𝑥𝑖−162
We have : 𝑥¯ = 18, A = 16 and h – 2.
Hence, the missing frequency is 20.
Question 4.
Thirty women were examined in a hospital by a doctor and the number of heart beats per minute were recorded and summarised as follows. Find the mean heart beats per minute for these women, choosing a suitable method.
Solution:
Let the assumed mean, A = 75.5 and class size, h = 3.
So, ui = 𝑥𝑖−Aℎ = 𝑥𝑖−75.53
We construct the following table :
So, 𝑥¯ = A + hΣ𝑓𝑖𝑢𝑖Σ𝑓𝑖 = 75.6 + 3 x 430
= 75.5 + 0.4 = 75.9
Hence, the mean heart beats per minute for these women is 75.9.
Question 5.
In a retail market, fruit vendors were selling mangoes kept in packing boxes. These boxes contained varying number of mangoes. The following was the distribution of mangoes according to the number of boxes.
Find the mean number of mangoes kept in a packing box. Which method of finding the mean did you choose?
Solution:
Here, the class intervals are formed by the exclusive method. If we make the data an inclusive one, the mid-values remain same. So, there is no need to convert the data with the caution that while finding h, we should count both the limits of class interval. For example, for 53 – 55, both 53 and 55 should be counted and thus h – 3 and not 55 – 53 = 2.
Let the assumed mean be A = 60 and h = 3.
So, ui = 𝑥𝑖−Aℎ = 𝑥𝑖−603
Calculation of Mean
∴ 𝑥¯ = A + hΣ𝑓𝑖𝑢𝑖Σ𝑓𝑖 = 60 + 3 x −375400
= 60 – 2.8125 = 57.1875 = 57.19 (nearly)
Hence, mean number of mangoes per box is 57.19.
Here, we have used the step-deviation method for finding the mean.
Question 6.
The table below shows the daily expenditure on food of 25 households in a locality.
Find the mean daily expenditure on food by a suitable method.
Solution:
Let the assumed mean, A = 225, class size, h = 50
So, ui = 𝑥𝑖−Aℎ = 𝑥𝑖−22550
We construct the following table :
So, 𝑥¯ = A + hΣ𝑓𝑖𝑢𝑖Σ𝑓𝑖
= 225 + 50 x −725
= 225 – 14 = 211
Hence, the mean daily expenditure on food is Rs 211.
Question 7.
To find the concentration of SO2 in the air (in parts per million, i.e., ppm), the data was collected for 30 localities in a certain city and is presented below :
Find the mean concentration of SO2 in the air.
Solution:
Calculation of mean by direct method
Question 8.
A class teacher has the following absentee record of 40 students of a class for the whole term. Find the mean number of days a student was absent.
Solution:
Here, the class size varies, and xi’s are small.
Let us apply the direct method here :
Question 9.
The following table gives the literacy rate (in percentage) of 35 cities. Find the mean literacy rate.
Solution:
Let the assumed mean, A = 70 and class size, h = 10.
So, ui = 𝑥𝑖−Aℎ = 𝑥𝑖−7010
Thus, mean literacy rate is 69.43%.
BSEB Textbook Solutions PDF for Class 10th
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- BSEB Class 10 Maths Chapter 4 Quadratic Equations Ex 4.1 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 4 Quadratic Equations Ex 4.1 Book Answers
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- BSEB Class 10 Maths Chapter 4 Quadratic Equations Ex 4.4 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 4 Quadratic Equations Ex 4.4 Book Answers
- BSEB Class 10 Maths Chapter 5 Arithmetic Progressions Ex 5.1 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 5 Arithmetic Progressions Ex 5.1 Book Answers
- BSEB Class 10 Maths Chapter 5 Arithmetic Progressions Ex 5.2 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 5 Arithmetic Progressions Ex 5.2 Book Answers
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- BSEB Class 10 Maths Chapter 6 Triangles Ex 6.1 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 6 Triangles Ex 6.1 Book Answers
- BSEB Class 10 Maths Chapter 6 Triangles Ex 6.2 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 6 Triangles Ex 6.2 Book Answers
- BSEB Class 10 Maths Chapter 6 Triangles Ex 6.3 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 6 Triangles Ex 6.3 Book Answers
- BSEB Class 10 Maths Chapter 6 Triangles Ex 6.4 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 6 Triangles Ex 6.4 Book Answers
- BSEB Class 10 Maths Chapter 6 Triangles Ex 6.5 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 6 Triangles Ex 6.5 Book Answers
- BSEB Class 10 Maths Chapter 6 Triangles Ex 6.6 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 6 Triangles Ex 6.6 Book Answers
- BSEB Class 10 Maths Chapter 7 Coordinate Geometry Ex 7.1 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 7 Coordinate Geometry Ex 7.1 Book Answers
- BSEB Class 10 Maths Chapter 7 Coordinate Geometry Ex 7.2 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 7 Coordinate Geometry Ex 7.2 Book Answers
- BSEB Class 10 Maths Chapter 7 Coordinate Geometry Ex 7.3 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 7 Coordinate Geometry Ex 7.3 Book Answers
- BSEB Class 10 Maths Chapter 7 Coordinate Geometry Ex 7.4 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 7 Coordinate Geometry Ex 7.4 Book Answers
- BSEB Class 10 Maths Chapter 8 Introduction to Trigonometry Ex 8.1 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 8 Introduction to Trigonometry Ex 8.1 Book Answers
- BSEB Class 10 Maths Chapter 8 Introduction to Trigonometry Ex 8.2 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 8 Introduction to Trigonometry Ex 8.2 Book Answers
- BSEB Class 10 Maths Chapter 8 Introduction to Trigonometry Ex 8.3 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 8 Introduction to Trigonometry Ex 8.3 Book Answers
- BSEB Class 10 Maths Chapter 8 Introduction to Trigonometry Ex 8.4 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 8 Introduction to Trigonometry Ex 8.4 Book Answers
- BSEB Class 10 Maths Chapter 9 Some Applications of Trigonometry Ex 9.1 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 9 Some Applications of Trigonometry Ex 9.1 Book Answers
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- BSEB Class 10 Maths Chapter 11 Constructions Ex 11.2 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 11 Constructions Ex 11.2 Book Answers
- BSEB Class 10 Maths Chapter 12 Areas Related to Circles Ex 12.1 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 12 Areas Related to Circles Ex 12.1 Book Answers
- BSEB Class 10 Maths Chapter 12 Areas Related to Circles Ex 12.2 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 12 Areas Related to Circles Ex 12.2 Book Answers
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- BSEB Class 10 Maths Chapter 13 Surface Areas and Volumes Ex 13.2 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 13 Surface Areas and Volumes Ex 13.2 Book Answers
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- BSEB Class 10 Maths Chapter 14 Statistics Ex 14.2 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 14 Statistics Ex 14.2 Book Answers
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