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May 2026 - Statistics I - Week 3 - Week 3 - Graded Assignment 3

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May 2026 - Statistics I - Week 3 - Week 3 - Graded Assignment 3

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Week 3 - Graded Assignment 3

Introduction

Week 3 - Graded Assignment 3Week 3

8th Jul

Week 3 - Graded Assignment 3

Week 3

Due Jul 08, 202611:59 PM ISTOverdue

Question 1 / 12

The mean and sample standard deviation of the dataset consisting of 6 observations is 19 and 9 respectively. Later it is noted that one observation 11 is wrongly noted as 7. What is the mean of the original dataset? (Correct to 2 decimal place accuracy)

Your Answer: (Not answered)

Question 2 / 12

The mean and sample standard deviation of the dataset consisting of 6 observations is 19 and 9 respectively. Later it is noted that one observation 11 is wrongly noted as 7. What is the sample variance of the original dataset? (Correct to 2 decimal place accuracy)

Your Answer: (Not answered)

Question 3 / 12

Let the data 65, 42, 72, 69, 31, 59, 95 represent the retail prices in rupees of a certain commodity in 7 randomly selected shops in a particular city. What will be the sample variance of the retail prices, if 3 rupees is added to all the retail prices. (Correct to 2 decimal place accuracy)

Your Answer: (Not answered)

Question 4 / 12

Suppose, we have 9 observations such that 48, 46, 21, 25, 103, 83, 88, 93, 112.Calculate 10th, 50th and 100th percentiles?

Options:

A. 21, 84, 112
B. 21, 83, 112 ✅
C. 22, 84, 112
D. 21, 82, 112

Question 5 / 12

Suppose, we have 5 observations such that 29, 48, 30, 35, 99. Calculate the Inter Quartile Range (IQR) of the data.

Options:

A. 19
B. 18 ✅
C. 48
D. 49

Question 6 / 12

Suppose, we have 5 observations such that 29, 48, 30, 35, 99. How many outliers are there?

Options:

A. 3
B. 1 ✅
C. 2
D. 4

Question 7 / 12

In a deck, there are cards numbered 1 to 34 such that the number of cards of a particular number in the deck is same as the number on the card. Which of the following statement(s) is/are true about the mean and mode of the numbers on this deck of card?

Options:

A. Mode is not defined for this data.
B. Mode is 34. ✅
C. Mean is 17.5.
D. Mean is 34.
E. Mean is 23.0. ✅
F. Mode is 33.

Question 8 / 12

Figure 3.1.G shows a stem and leaf plot of the ratings (out of 100 ) of an actor's performance in different movies. Stem Leaf

5 0 2 5 7 8

6 4 6 8 9

7 9

8 4

9 1 Figure 3.1.G: Performance rating of an actor. Here 6 | 4 means Rating of 64 What is the median rating, if 4 points are added to all of his ratings and then converted to 40 points. (Correct up to 2 decimal point accuracy.)

Your Answer: (Not answered)

Question 9 / 12

Figure 3.1.G shows a stem and leaf plot of the ratings (out of 100 ) of an actor's performance in different movies. Stem Leaf

5 0 2 5 7 8

6 4 6 8 9

7 9

8 4

9 1 Figure 3.1.G: Performance rating of an actor. Here 6 | 4 means Rating of 64 What is the Inter Quartile Range (IQR)? (Correct to 1 decimal point accuracy.)

Your Answer: (Not answered)

Question 10 / 12

If the average daily production over these 10 days is 128 units, then determine the value of xxx.

Your Answer: (Not answered)

Question 11 / 12

Later, it was discovered that: • For days 5 to 7, the recorded numbers were 15 units higher than the actual production each day.

• On days 9 and 10, the numbers were mistakenly recorded with the last digit missing (e.g., 15 was actually 150, and 20 was actually 200).

Calculate the correct average daily production after making these adjustments.

Your Answer: (Not answered)

Question 12 / 12

A teacher conducted a test (out of 50 marks) for two section of a class - Section A and Section B.

• Section A has 15 students, and their average score in the test is 32.

• Section B has 25 students, and their average score is denoted by xxx.

If the combined average score of all 40 students is 34, then find the value of xxx. Enter the answer correct to one decimal place.

Your Answer: (Not answered)