UPSKILL MATH PLUS

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Methodical recommendation:

Theory

Number Name Description
Number 1. Name Introduction to statistics Description To learn about the concept of statistics and to recall the concept of measures of central tendency.
Number 2. Name Arithmetic mean Description To recall the concept of arithmetic mean and the methods to find it.
Number 3. Name Measures of dispersion Description To learn the different mesures of dispersions.
Number 4. Name Deviations from mean, Variance and Standard deviation Description To learn the concepts of Deviations from mean, Variance and Standard deviation.
Number 5. Name Methods to calculate the standard deviation of ungrouped data Description To learn the methods to calculate the standard deviation of ungrouped data.
Number 6. Name Methods to calculate the standard deviation of grouped data Description To learn the methods to calculate the standard deviation of grouped data.
Number 7. Name Direct method to find standard deviation of ungrouped data - Example Description To understand the direct method to find standard deviation of ungrouped data with an example.
Number 8. Name Mean method to find standard deviation of ungrouped data - Example Description To understand the mean method to find standard deviation of ungrouped data with an example.
Number 9. Name Assumed mean method to find standard deviation of ungrouped data - Example Description To understand the assumed mean method to find standard deviation of ungrouped data with an example.
Number 10. Name Step deviation method to find standard deviation of ungrouped data - Example Description To understand the step deviation method to find standard deviation of ungrouped data with an example.
Number 11. Name Mean method to find standard deviation of grouped data - Example Description To understand the mean method to find standard deviation of grouped data with an example.
Number 12. Name Assumed mean method to find standard deviation of grouped data - Example Description To understand the assumed mean method to find standard deviation of grouped data with an example.
Number 13. Name Step deviation method to find standard deviation of grouped data - Example Description To understand the step deviation method to find standard deviation of grouped data with an example.

Textbook Questions

Number Name Type Difficulty Marks Description
Number 1. Name Multiple choice questions I Type Other Difficulty easy Marks 1 m. Description Select the suitable choice for the given questions.
Number 2. Name Multiple choice questions II Type Other Difficulty easy Marks 1 m. Description Select the suitable choice for the given questions.
Number 3. Name Multiple choice questions III Type Other Difficulty easy Marks 1 m. Description Select the suitable choice for the given questions.
Number 4. Name Multiple choice questions IV Type Other Difficulty easy Marks 1 m. Description Select the suitable choice for the given questions.
Number 5. Name Multiple choice question V Type Other Difficulty easy Marks 1 m. Description Select the correct choice for the given questions.
Number 6. Name Multiple choice question VI Type Other Difficulty easy Marks 1 m. Description Select the correct choice for the given questions.
Number 7. Name Multiple choice question VII Type Other Difficulty easy Marks 1 m. Description Select the correct choice for the given questions.
Number 8. Name Two mark example problem I Type Other Difficulty medium Marks 2 m. Description Try to answer the given questions.
Number 9. Name Two mark example problem II Type Other Difficulty medium Marks 2 m. Description Try to answer the given questions.
Number 10. Name Two mark example problem III Type Other Difficulty medium Marks 2 m. Description Try to answer the given questions.
Number 11. Name Two mark exercise problem I Type Other Difficulty medium Marks 4 m. Description Try to answer the given questions.
Number 12. Name Two mark exercise problem II Type Other Difficulty medium Marks 2 m. Description Try to answer the given questions.
Number 13. Name Two mark exercise problem III Type Other Difficulty medium Marks 2 m. Description Try to answer the given questions.
Number 14. Name Two mark exercise problem IV Type Other Difficulty medium Marks 2 m. Description Try to answer the given questions.
Number 15. Name Two mark exercise problem V Type Other Difficulty medium Marks 2 m. Description Try to answer the given questions.
Number 16. Name Two mark exercise problem VI Type Other Difficulty medium Marks 2 m. Description Try to answer the given questions.
Number 17. Name Five mark example problem I Type Other Difficulty hard Marks 5 m. Description Try to find the standard deviation.
Number 18. Name Five mark example problem II Type Other Difficulty hard Marks 5 m. Description Try to find the standard deviation.
Number 19. Name Five mark example problem III Type Other Difficulty hard Marks 5 m. Description Try to find the standard deviation.
Number 20. Name Five mark example problem VI Type Other Difficulty hard Marks 5 m. Description Try to find the standard deviation.
Number 21. Name Five mark example problem V Type Other Difficulty hard Marks 5 m. Description Try to find the standard deviation.
Number 22. Name Five mark example problem VI Type Other Difficulty hard Marks 5 m. Description Try to find the standard deviation.
Number 23. Name Five mark example problem VII Type Other Difficulty hard Marks 5 m. Description Determine the standard deviation of the given problems.
Number 24. Name Five mark example problem VIII Type Other Difficulty hard Marks 5 m. Description Determine the standard deviation of the given problems.
Number 25. Name Five mark example problem IX Type Other Difficulty hard Marks 5 m. Description Determine the standard deviation of the given problems.
Number 26. Name Five mark example problem X Type Other Difficulty hard Marks 5 m. Description Try to answer the given questions.
Number 27. Name Five mark example problem XI Type Other Difficulty hard Marks 5 m. Description Try to answer the given questions.
Number 28. Name Five mark exercise problem I Type Other Difficulty hard Marks 5 m. Description Try to answer the given questions.
Number 29. Name Five mark exercise problem II Type Other Difficulty hard Marks 5 m. Description Try to answer the given questions.
Number 30. Name Five mark exercise problem III Type Other Difficulty hard Marks 5 m. Description Try to answer the given questions.
Number 31. Name Five mark exercise problem IV Type Other Difficulty hard Marks 5 m. Description Try to answer the given questions.
Number 32. Name Five mark exercise problem V Type Other Difficulty hard Marks 5 m. Description Try to answer the given questions.

Practice Questions

Number Name Type Difficulty Marks Description
Number 1. Name Find the largest value Type Other Difficulty easy Marks 2 m. Description To find the largest value from the data provided.
Number 2. Name Find the range of the distribution Type Other Difficulty easy Marks 2 m. Description To find the range of the given distribution.
Number 3. Name Find the standard deviation Type Other Difficulty easy Marks 2 m. Description To find the standard deviation using the provided information.
Number 4. Name Find the variance Type Other Difficulty easy Marks 2 m. Description To find the variance from the given standard deviation.
Number 5. Name Find the range and its coefficient Type Other Difficulty medium Marks 2 m. Description To find the range and the coefficient of range for the given set of data.
Number 6. Name Calculate the standard deviation by direct method Type Other Difficulty medium Marks 5 m. Description To calculate the standard deviation by direct method for the given ungrouped data.
Number 7. Name Calculate the standard deviation by mean method Type Other Difficulty medium Marks 5 m. Description To calculate the standard deviation by mean method for the given ungrouped data.
Number 8. Name Calculate the standard deviation by assumed mean method Type Other Difficulty medium Marks 5 m. Description To calculate the standard deviation by assumed mean method for the given ungrouped data.
Number 9. Name Calculate the standard deviation by step deviation method Type Other Difficulty medium Marks 5 m. Description To calculate the standard deviation by step deviation method for the given ungrouped data.
Number 10. Name Determine the standard deviation using mean method Type Other Difficulty medium Marks 5 m. Description To find the standard deviation of the grouped frequency distribution using mean method.
Number 11. Name Find the standard deviation of 'n' natural numbers Type Other Difficulty hard Marks 5 m. Description To prove the formula to find the variance of 'n' natural numbers.
Number 12. Name Determine the standard deviation using assumed mean method Type Other Difficulty hard Marks 5 m. Description To find the standard deviation of the grouped frequency distribution using assumed mean method.
Number 13. Name Find the standard deviation using step deviation method Type Other Difficulty hard Marks 5 m. Description Check your understanding skills in the concept of finding standard deviation using step deviation method for a grouped data.

Key Questions for School Exam Preparation

Number Name Type Difficulty Marks Description
Number 1. Name Determine the range Type Other Difficulty easy Marks 2 m. Description Try to find the range.
Number 2. Name Find the smallest value Type Other Difficulty easy Marks 2 m. Description Try to answer the given questions.
Number 3. Name Calculate the standard deviation Type Other Difficulty hard Marks 5 m. Description Try to find the standard deviation.
Number 4. Name Find the remaining observation Type Other Difficulty hard Marks 5 m. Description To find the remaining values of the observations from the data provided.

Questions for Teacher Use

Number Name Type Difficulty Marks Description
Number 1. Name Find the range of the given distribution Type Other Difficulty easy Marks 2 m. Description To find the range of the given distribution.
Number 2. Name Find the new standard deviation Type Other Difficulty easy Marks 2 m. Description To find the new standard deviation from the given data using the property of standard deviation.
Number 3. Name Prove the formula Type Other Difficulty medium Marks 2 m. Description To prove the formula to find the variance of 'n' natural numbers.
Number 4. Name Find the standard deviation using mean method Type Other Difficulty hard Marks 5 m. Description To find the standard deviation of the grouped frequency distribution using mean method.
Number 5. Name Range of the data Type Other Difficulty easy Marks 1 m. Description Try to find the range.
Number 6. Name Standard deviation Type Other Difficulty medium Marks 1 m. Description Try to answer the given questions.
Number 7. Name Variance of the data Type Other Difficulty easy Marks 1 m. Description Select the correct choice for the given questions.
Number 8. Name The variance of the data Type Other Difficulty easy Marks 1 m. Description Select the correct choice for the given questions.

Periodic assessments

Number Name Recomended time: Difficulty Marks Description
Number 1. Name Homework I Recomended time: 00:20:00 Difficulty easy Marks 4 m. Description
Number 2. Name Homework II Recomended time: 00:20:00 Difficulty easy Marks 5 m. Description
Number 3. Name Homework III Recomended time: 00:20:00 Difficulty easy Marks 10 m. Description
Number 4. Name Homework IV Recomended time: 00:25:00 Difficulty medium Marks 8 m. Description
Number 5. Name Homework V Recomended time: 00:25:00 Difficulty medium Marks 15 m. Description
Number 6. Name Homework VI Recomended time: 00:25:00 Difficulty medium Marks 15 m. Description
Number 7. Name Homework VII Recomended time: 00:25:00 Difficulty medium Marks 15 m. Description
Number 8. Name Homework VIII Recomended time: 00:25:00 Difficulty medium Marks 15 m. Description
Number 9. Name Homework IX Recomended time: 00:25:00 Difficulty hard Marks 20 m. Description
Number 10. Name Revision test I Recomended time: 00:25:00 Difficulty medium Marks 20 m. Description
Number 11. Name Revision test II Recomended time: 00:35:00 Difficulty medium Marks 9 m. Description
Number 12. Name Revision test III Recomended time: 00:40:00 Difficulty hard Marks 15 m. Description
Number 13. Name Revision test IV Recomended time: 00:45:00 Difficulty hard Marks 20 m. Description
Number 14. Name Revision test V Recomended time: 00:45:00 Difficulty hard Marks 11 m. Description
Number 15. Name Revision test VI Recomended time: 00:45:00 Difficulty hard Marks 11 m. Description
Number 16. Name Revision test VII Recomended time: 00:45:00 Difficulty hard Marks 12 m. Description
Number 17. Name Periodic Assessment Recomended time: 00:15:00 Difficulty medium Marks 4 m. Description PAT 2
Number 18. Name Periodic Assessment - Extended version Recomended time: 00:10:00 Difficulty medium Marks 2 m. Description
Number 19. Name Periodic Assessment - 3 Recomended time: 00:10:00 Difficulty medium Marks 1 m. Description PA3