Figure from the original question paper

(B) Option figure from the original question paper

(D) Option figure from the original question paper

(A) Option figure from the original question paper

(C) Option figure from the original question paper

The number of medals won by students in annual sports competition of a college is tabulated in Table Q.3. Figure from the passage in the original paper Based on the information, answer the given subquestions Which of the following student have won the medals most frequently in the annual sports competition?

(D) Mode is not defined for the given data

The number of medals won by students in annual sports competition of a college is tabulated in Table Q.3. Figure from the passage in the original paper Based on the information, answer the given subquestions What is the median of the given data?

(D) Median is not defined for given data

Stats 1 Quiz 1 PYQ Sep 2021: 10 Oct 2021 (Set POD21TE3QZ1QPB)

Question 1

+2 marksOne or more correct options

Use the following information to answer the given subquestions
A cricket analyst wishes to analyze the runs scored by Virat Kohli in International matches.He analyzes the batting statistics of ten matches randomly selected from all the International matches played by Kohli in the last three years and issues the following statements:
Statement 1: The average runs scored by Virat Kohli in those randomly selected 10 matches is 82.5.
Statement 2: Virat Kohli loses his wicket mostly at the score of 21 in International matches. Statement 3: Virat Kohli has played more matches against Australia on Australian pitches than Indian pitches.

Which of the following statement(s) is/are true?

Select all that apply.

A
Sample is all the International matches played by Virat Kohli.
B
Population is all the International matches played by Virat Kohli.
C
Sample is 10 randomly selected International matches played by Virat Kohli in the last 3 years.
D
Population is all the International matches played by Virat Kohli in the last 3 years.

Show answer

Correct answers

B
Population is all the International matches played by Virat Kohli.
C
Sample is 10 randomly selected International matches played by Virat Kohli in the last 3 years.

Question 1 on its own page

Question 2

+2 marksOne correct option

Use the following information to answer the given subquestions
A cricket analyst wishes to analyze the runs scored by Virat Kohli in International matches.He analyzes the batting statistics of ten matches randomly selected from all the International matches played by Kohli in the last three years and issues the following statements:
Statement 1: The average runs scored by Virat Kohli in those randomly selected 10 matches is 82.5.
Statement 2: Virat Kohli loses his wicket mostly at the score of 21 in International matches. Statement 3: Virat Kohli has played more matches against Australia on Australian pitches than Indian pitches.

Which measure of central tendency is used to issue statement 3?

A
Mean
B
Median
C
Mode
D
None of these

Show answer

Correct answer

C
Mode

Question 2 on its own page

Question 3

+2 marksOne correct option

Use the following information to answer the given subquestions
A cricket analyst wishes to analyze the runs scored by Virat Kohli in International matches.He analyzes the batting statistics of ten matches randomly selected from all the International matches played by Kohli in the last three years and issues the following statements:
Statement 1: The average runs scored by Virat Kohli in those randomly selected 10 matches is 82.5.
Statement 2: Virat Kohli loses his wicket mostly at the score of 21 in International matches. Statement 3: Virat Kohli has played more matches against Australia on Australian pitches than Indian pitches.

The statistical analysis that has helped to reach at statement 2 is:

A
Descriptive Statistics
B
Inferential Statistics

Show answer

Correct answer

B
Inferential Statistics

Question 3 on its own page

Question 4

+2 marksOne or more correct options

Which of the following is/are represent(s) a cross-sectional data?

Select all that apply.

A
Rainfall (in mm) recorded at the three locations on a particular day.
B
Humidity measured daily at Chennai for 50 days.
C
Recording inflation data in India from 1965 to 2010 annually.
D
Stock returns earned by shareholders of Rolex as for the year ended 31st December 2018.

Show answer

Correct answers

A
Rainfall (in mm) recorded at the three locations on a particular day.
D
Stock returns earned by shareholders of Rolex as for the year ended 31st December 2018.

Question 4 on its own page

Question 5

+2 marksOne or more correct options

Which of the following statement(s) is/are true?

Select all that apply.

A
Vehicle Number plate has a nominal scale of measurement.
B
Phone brand has an ordinal scale of measurement.
C
Amount of milk (in litres) is a numeric and discrete variable.
D
Life of a bulb (in hours) has a ratio scale of measurement.

Show answer

Correct answers

A
Vehicle Number plate has a nominal scale of measurement.
D
Life of a bulb (in hours) has a ratio scale of measurement.

Question 5 on its own pageAlso asked in End Term 24 Dec 2023

Question 6

+2 marksOne or more correct options

Select all that apply.

A
B
C
D

Show answer

Correct answers

B
D

Question 6 on its own page

Question 7

+4 marksOne or more correct options

The data on the number of test matches played by Virat Kohli in different countries is given in Table Q.1. Which of the following graphs is/are suitable for the tabulated data?

Select all that apply.

A
B
C
D

Show answer

Correct answers

A
C

Question 7 on its own page

Question 8

+4 marksOne or more correct options

A sample of the speed (in km/hr) of ten bikes is given as 25, 24, 25, 27, 27, 24, 24, 26, 27, 21. In the given sample, if 5 is subtracted from each observation and it is then divided by 4, then choose the correct option/s?

Select all that apply.

A
Median of new data is 6.
B
New sample variance is 0.22.
C
New sample standard deviation is 0.33.
D
New average speed is 5 km/hr.

Show answer

Correct answers

B
New sample variance is 0.22.
D
New average speed is 5 km/hr.

Question 8 on its own page

Question 9

+4 marksOne or more correct options

Suppose a survey is conducted in a group of 94 individuals, who were asked to identify their hair and eye color and the results are given in Table 1.1.Q.

Choose the correct option/s?

Select all that apply.

A
Of all the individuals with Black hair color, there are 30.61% who has Brown eye color.
B
Of all the individuals with Black Eye color, there are 24.44% who has Grey hair color .
C
There is no association between Hair color and Eye color.
D
There is an association between Hair color and Eye color.

Show answer

Correct answers

A
Of all the individuals with Black hair color, there are 30.61% who has Brown eye color.
D
There is an association between Hair color and Eye color.

Question 9 on its own page

Question 10

+2 marksOne correct option

Choose the correct option/s:

A
If the large values of variable X tend to be associated with small values of variable Y , then the correlation between X and Y will be positive.
B
If the points are located densely in a scatter diagram, then we can always expect a poor correlation between the variables.
C
Correlation is a unitless measure of association.
D
Correlation always lie between 0 and 1.

Show answer

Correct answer

C
Correlation is a unitless measure of association.

Question 10 on its own pageAlso asked in Quiz 1 10 Oct 2021

Question 11

+2 marksNumerical answer

The marks (out of 100) scored by Kabir in class 10*^(th)* exam is given as 58, 78, 75, 49, 82, 65. If Ramesh has scored 1 mark less than Kabir in each subject, then calculate the correlation between the marks scored by Kabir and Ramesh.
NOTE: Enter your answer to the nearest integer.

Show answer

Correct answer: 1

Question 11 on its own page

Question 12

+4 marksNumerical answer

If sample standard deviation of a dataset is 11 and population standard deviation of the same dataset is 10, find the number of observations in the dataset. (Enter the value as next highest integer)

Show answer

Correct answer: 6

Question 12 on its own page

Question 13

+2 marksNumerical answer

Two teachers 'A' and 'B' are assigned to check the Mathematics paper attempted by the students of class 10. The mean and population variance of the marks of the 20 papers checked by teacher 'A' is 50 and 16 respectively. For the remaining 30 papers checked by teacher 'B' it is 60 and 25 respectively. Based on the given information, answer the given subquestions

What is the mean marks obtained by the students of class 10 in Mathematics?
NOTE: Enter your answer to the nearest integer.

Show answer

Correct answer: 56

Question 13 on its own pageAlso asked in Quiz 1 10 Oct 2021

Question 14

+5 marksNumerical answer

Two teachers 'A' and 'B' are assigned to check the Mathematics paper attempted by the students of class 10. The mean and population variance of the marks of the 20 papers checked by teacher 'A' is 50 and 16 respectively. For the remaining 30 papers checked by teacher 'B' it is 60 and 25 respectively. Based on the given information, answer the given subquestions

What is the population variance of the marks obtained by the students of class 10 in Mathematics? (Enter the answer correct to 2 decimal place accuracy)

Show answer

Correct answer: 45.4 (accepted within ±0.4)

Question 14 on its own page

Question 15

+5 marksNumerical answer

Six students are randomly selected from the top 15 students of a class to find if their performance is affected by the difficulty level of papers. Two different sets of question papers, with varying difficulty levels, are designed on the same topic and are assigned randomly to the six selected students. Their marks are tabulated in Table Q.2.

Based on the above information, answer the given subquestions.

Calculate the absolute value of Point Bi-serial correlation coefficient between the set of paper and marks obtained by the students.
NOTE: Enter the answer correct to 2 decimal accuracy.

Show answer

Correct answer: 0.14 (accepted within ±0.02)

Question 15 on its own page

Question 16

+2 marksOne correct option

Six students are randomly selected from the top 15 students of a class to find if their performance is affected by the difficulty level of papers. Two different sets of question papers, with varying difficulty levels, are designed on the same topic and are assigned randomly to the six selected students. Their marks are tabulated in Table Q.2.

Based on the above information, answer the given subquestions.

Are the marks obtained by the selected students strongly influenced by the difficulty level of the paper?

A
Yes, because the absolute value of Point Bi-serial coefficient is close to 1.
B
No, because the absolute value of Point Bi-serial coefficient is close to 1.
C
Yes, because the absolute value of Point Bi-serial coefficient is close to 0.
D
No, because the absolute value of Point Bi-serial coefficient is close to 0.

Show answer

Correct answer

D
No, because the absolute value of Point Bi-serial coefficient is close to 0.

Question 16 on its own page

Question 17

+2 marksOne correct option

The number of medals won by students in annual sports competition of a college is tabulated in Table Q.3.

Based on the information, answer the given subquestions

Which of the following student have won the medals most frequently in the annual sports competition?

A
Kriti
B
Rohit
C
Rahim
D
Mode is not defined for the given data

Show answer

Correct answer

B
Rohit

Question 17 on its own page

Question 18

+2 marksOne correct option

The number of medals won by students in annual sports competition of a college is tabulated in Table Q.3.

Based on the information, answer the given subquestions

What is the median of the given data?

A
Kriti
B
Rohit
C
Jacob
D
Median is not defined for given data

Show answer

Correct answer

D
Median is not defined for given data

Question 18 on its own page