NIMS UNIVERSITY RAJASTHAN, JAIPUR
Continuous Evaluation
NIMS DDE Continuous Evaluation
B. Sc. General Science (Mathematics) – 2nd Year
Statistics
Maximum Marks: 30
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Q.1 Answer the following questions;
1. The grades of a student on six examinations were 84, 91, 72, 68, 87, and 78. Find the
arithmetic mean of the grades.
2 marks
2. Write the t distribution and its properties with useful examples. 2 marks
3. Find the probability that in 120 tosses of a fair coin (a) less than 40% or more than 60% will
be heads and (b) 5/8 or more will be heads.
2 marks
4. Find the critical values of t for which the area of the right-hand tail of the t distribution is
0.05 if the number of degrees of freedom, v, is equal to (a) 16, (b) 27, and (c) 200.
2 marks
5. Find the median value of X2 corresponding to (a) 9, (b) 28, and (c) 40 degrees of freedom. 2 marks
Q.2 . In 360 tosses of a pair of dice, 74 sevens and 24 elevens are observed. Using the 0.05
significance level, test the hypothesis that the dice are fair.
5 marks
Q.3 . What is the minimum sample size necessary in order that we may conclude that a correlation
coefficient of 0.32 differs significantly from zero at the 0.05 level?
5 marks
Q.4 . Mention the difference between Correlation and Regression with one example.
The rank of ten students in two subjects A and B are given below
A 5 2 9 8 1 10 3 4 6 7
B 10 5 1 3 8 6 2 7 9 4
Calculate the coefficient of correlation
5 marks
Q.5. Derive the relation among Mean, Mode and Median.
Find mode of the following data
Ages: 20-25 25-30 30-35 35-40 40-45 45-50 50-55 55-60
No of works: 35 45 70 105 90 74 51 30
5 marks
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NIMS UNIVERSITY RAJASTHAN, JAIPUR Continuous Evaluation nd B. Sc. General Science (Mathematics) – 2 Year Statistics Maximum Marks: 30 ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------- Q.1 Answer the following questions; 1. The grades of a student on six examinations were 84, 91, 72, 68, 87, and 78. Find the 2 marks arithmetic mean of the grades. 2. Write the t distribution and its properties with useful examples. 2 marks 3. Find the probability that in 120 tosses of a fair coin (a) less than 40% or more than 60% will 2 marks be heads and (b) 5/8 or more will be heads. 4. Find the critical values of t for which the area of the right-hand tail of the t distribution is 2 marks 0.05 if the number of degrees of freedom, v, is equal to (a) 16, (b) 27, and (c) 200. 2 5. Find the median value of X corresponding to (a) 9, (b) 28, and (c) 40 degrees of freedom. 2 marks Q.2 . In 360 tosses of a pair of dice, 74 sevens and 24 elevens are observed. Using the 0.05 5 marks significance level, test the hypothesis that the dice are fair. Q.3 . What is the minimum sample size necessary in order that we may conclude that a correlation 5 marks coefficient of 0.32 differs significantly from zero at the 0.05 level? Q.4 . Mention the difference between Correlation and Regression with one example. 5 marks The rank of ten students in two subjects A and B are given below A 5 2 9 8 1 10 3 4 6 7 B 10 5 1 3 8 6 2 7 9 4 Calculate the coefficient of correlation Q.5. Derive the relation among Mean, Mode and Median. 5 marks Find mode of the following data Ages: 20-25 25-30 30-35 35-40 40-45 45-50 50-55 55-60 No of works: 35 45 70 105 90 74 51 30 NIMS DDE Continuous Evaluation