# Probability And Statistics | Week 8

**Course Name: Probability And Statistics**

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**These are Probability And Statistics Week 8 Assignment 8 Answers**

**Q1. The distance, in meters for eight throws of a shotputter are shown below**

15.92,16.27,15.41,18.48,17.28,14.98, 15.85

Calculate sample mean and sample standard deviation.

(A) 16.31,1.11

(B) 16.31,1.19

(C) 16.31,1.43

(D) 16.31,1.22

15.92,16.27,15.41,18.48,17.28,14.98, 15.85

Calculate sample mean and sample standard deviation.

**Answer: (B) 16.31,1.19**

**Q2. Consider the following frequency table.**

**Calculate the median.**

(A) 37.95

(8) 51.21

(C) 31.56

(D) 38.13

**Answer: (D) 38.13**

**These are Probability And Statistics Week 8 Assignment 8 Answers**

**Q3. Suppose X,Y, Z are three independent chi-square random variables with 1,4,9 degrees of freedom respectively, then distribution of X + Y + Z is _________.**

(A) X^{2}(15)

(B) N(0,14)

(C) X^{2}(14)

(D) X^{2}(12)

**Answer: (C) X ^{2}(14)**

**Q4. What is the median of the following dataset31,6,12,27,17,15,21,13,2**

(A) 15

(B) 17

(C) 16

(D) 2

**Answer: (A) 15**

**These are Probability And Statistics Week 8 Assignment 8 Answers**

**Q5. Calculate the mode of question 2.**

(A) 33.19

(B) 36.81

(C) 36.19

(D) 33.81

**Answer: (C) 36.19**

**Q6. Consider the following dataA : 200 300 500 700 900B : 100 150 270 800 500Suppose CVA and CVB denote the coefficient of variations of set A and set B respectively. Select the correct statement(s).**

(A) CVA > CVB

(B) CVB > CVA

(C) Mean of set A > Mean of set B

(D) Mean of set A< Mean of set B

**Answer: b, c**

**These are Probability And Statistics Week 8 Assignment 8 Answers**

**Q7. Suppose the observations are arranged in ascending order and given as15 x 21 x+10 30 39Find x if median of the set is 24.**

(A) 27

(B) 22

(C) 17

(D) 20

**Answer: (C) 17**

**Q8. Consider the following grouped data**

**Find mode.**

(A) 54.32

(B) 53.68

(C) 49.32

(D) 48.68

**Answer: (D) 48.68**

**These are Probability And Statistics Week 8 Assignment 8 Answers**

**Q9. Here are measurements of photoresist thickness for eight wafers baked at two different temperatures. Find the standard deviation on the difference in thickness.**

(A) 2.2197

(B) 3.075

(C) 3.56

(D) 5.21

**Answer: (A) 2.2197**

**Q10. The runs scored in a cricket match by 11 players are as follows5,15,115,17,71,29,62,2,15,15,1The (mean, median, mode) is _______.**

(A) (31.5,15,15)

(B) (31.5,17,15)

(C) (49.5,29,15)

(D) (35.5,29,15)

**Answer: (A) (31.5,15,15)**

**These are Probability And Statistics Week 8 Assignment 8 Answers**

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**These are Probability And Statistics Week 8 Assignment 8 Answers**