Attempt all the questions shown below. Word limit for each of the question is around 500 words.
Question 1: Describe the meaning of statistics and describe its scope and use.
Question 2: Describe hypothesis testing and illustrate the general procedures for hypothesis testing.
Question 3: Tabulate the given 25 scores into a frequency distribution by using a suitable interval.
64, 69, 84, 67, 61, 72, 72, 63, 71, 83, 70, 76, 75, 81, 66, 73, 86, 65, 68, 81, 72, 67, 77, 75, 72
Question 4: Describe the concept of dispersion and describe the kinds of measures of dispersion.
Question 5: Calculate the average deviation and standard deviation from the given ungrouped data.
45, 43, 46, 47, 36, 39, 35, 45, 34, 47, 30, 35, 36, 39, 42, 44, 46, 38, 34, 35
Question 6: Calculate mean, median and mode for the given frequency distribution.
Question 7: Find out the correlation coefficients for the given data by using product moment method and deduce the coefficients.
Question 8: Explain in detail the chi square test and elucidate its properties and application.
Question 9: Describe the term normal distribution in detail with focus on its characteristics and properties. Further elucidate the deviations from normal distribution curve with the help of diagrams.
Question 10: A group of 20 students were given mathematical test under two conditions: restricted and unrestricted position. Test the importance of the difference between mean at 0.01 level on the basis of the given data.
