Balbharati solutions for Mathematics and Statistics 2 (Commerce) 11th Standard HSC Maharashtra State Board chapter 3 - Skewness [Latest edition]

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Balbharati solutions for Mathematics and Statistics 2 (Commerce) 11th Standard HSC Maharashtra State Board chapter 3 - Skewness - Shaalaa.com
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Solutions for Chapter 3: Skewness

Below listed, you can find solutions for Chapter 3 of Maharashtra State Board Balbharati for Mathematics and Statistics 2 (Commerce) 11th Standard HSC Maharashtra State Board.


Exercise 3.1Miscellaneous Exercise 3
Exercise 3.1 [Page 43]

Balbharati solutions for Mathematics and Statistics 2 (Commerce) 11th Standard HSC Maharashtra State Board Chapter 3 Skewness Exercise 3.1 [Page 43]

Exercise 3.1 | Q 1 | Page 43

For a distribution, mean = 100, mode = 127 and SD = 60. Find the Pearson coefficient of skewness Skp.

Exercise 3.1 | Q 2 | Page 43

The mean and variance of the distribution is 60 and 100 respectively. Find the mode and the median of the distribution if Skp = – 0.3.

Exercise 3.1 | Q 3 | Page 43

For a data set, sum of upper and lower quartiles is 100, difference between upper and lower quartiles is 40 and median is 50. Find the coefficient of skewness.

Exercise 3.1 | Q 4 | Page 43

For a data set with upper quartile equal to 55 and median equal to 42. If the distribution is symmetric, find the value of lower quartile.

Exercise 3.1 | Q 5 | Page 43

Obtain the coefficient of skewness by formula and comment on nature of the distribution.

Height in inches No. of females
Less than 60 10
60 – 64 20
64 – 68 40
68 – 72 10
72 – 76 2
Exercise 3.1 | Q 6 | Page 43

Find Skp for the following set of observations.
17, 17, 21, 14, 15, 20, 19, 16, 13, 17, 18

Exercise 3.1 | Q 7 | Page 43

Calculate Skb for the following set of observations of yield of wheat in kg from 13 plots:

4.6, 3.5, 4.8, 5.1, 4.7, 5.5, 4.7, 3.6, 3.5, 4.2, 3.5, 3.6, 5.2

Exercise 3.1 | Q 8 | Page 43

For a frequency distribution Q3 – Q2 = 90 And Q2 – Q1 = 120, find Skb.

Miscellaneous Exercise 3 [Page 44]

Balbharati solutions for Mathematics and Statistics 2 (Commerce) 11th Standard HSC Maharashtra State Board Chapter 3 Skewness Miscellaneous Exercise 3 [Page 44]

Miscellaneous Exercise 3 | Q 1 | Page 44

For a distribution, mean = 100, mode = 80 and S.D. = 20. Find Pearsonian coefficient of skewness Skp.

Miscellaneous Exercise 3 | Q 2 | Page 44

For a distribution, mean = 60, median = 75 and variance = 900. Find Pearsonian coefficient of skewness Skp.

Miscellaneous Exercise 3 | Q 3 | Page 44

For a distribution, Q1 = 25, Q2 = 35 and Q3 = 50. Find Bowley’s coefficient of skewness Skb.

Miscellaneous Exercise 3 | Q 4 | Page 44

For a distribution Q3 – Q2 = 40, Q2 – Q1 = 60. Find Bowley’s coefficient of skewness Skb.

Miscellaneous Exercise 3 | Q 5 | Page 44

For a distribution, Bowley’s coefficient of skewness is 0.6. The sum of upper and lower quartiles is 100 and median is 38. Find the upper and lower quartiles.

Miscellaneous Exercise 3 | Q 6 | Page 44

For a frequency distribution, the mean is 200, the coefficient of variation is 8% and Karl Pearsonian’s coefficient of skewness is 0.3. Find the mode and median of the distribution.

Miscellaneous Exercise 3 | Q 7 | Page 44

Calculate Karl Pearsonian’s coefficient of skewness Skp from the following data:

Marks above 0 10 20 30 40 50 60 70 80
No. of students 120 115 108 98 85 60 18 5 0
Miscellaneous Exercise 3 | Q 8 | Page 44

Calculate Bowley’s coefficient of skewness Skb from the following data:

Marks above 0 10 20 30 40 50 60 70 80
No. of students 120 115 108 98 85 60 18 5 0
Miscellaneous Exercise 3 | Q 9 | Page 44

Find Skp for the following set of observations:
18, 27, 10, 25, 31, 13, 28.

Miscellaneous Exercise 3 | Q 10 | Page 44

Find Skb for the following set of observations:
18, 27, 10, 25, 31, 13, 28.

Solutions for Chapter 3: Skewness

Exercise 3.1Miscellaneous Exercise 3
Balbharati solutions for Mathematics and Statistics 2 (Commerce) 11th Standard HSC Maharashtra State Board chapter 3 - Skewness - Shaalaa.com

Balbharati solutions for Mathematics and Statistics 2 (Commerce) 11th Standard HSC Maharashtra State Board chapter 3 - Skewness

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Concepts covered in Mathematics and Statistics 2 (Commerce) 11th Standard HSC Maharashtra State Board chapter 3 Skewness are Skewness, Asymmetric Distribution (Positive Skewness), Asymmetric (Negative Skewness), Measures of Skewness, Karl Pearson’S Coefficient of Skewness (Pearsonian Coefficient of Skewness), Features of Pearsonian Coefficient, Bowley’s Coefficient of Skewness.

Using Balbharati Mathematics and Statistics 2 (Commerce) 11th Standard HSC Maharashtra State Board solutions Skewness exercise by students is an easy way to prepare for the exams, as they involve solutions arranged chapter-wise and also page-wise. The questions involved in Balbharati Solutions are essential questions that can be asked in the final exam. Maximum Maharashtra State Board Mathematics and Statistics 2 (Commerce) 11th Standard HSC Maharashtra State Board students prefer Balbharati Textbook Solutions to score more in exams.

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