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 POD21TE3QZ1QPA)

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 Ricky Ponting in International matches. He analyzes the batting statistics of 30 matches randomly selected from all the International matches played by Ponting in the last five years and issues the following statements:
Statement 1: The average runs scored by Ricky Ponting in those randomly selected 30 matches is 72.8.
Statement 2: Ricky Ponting loses his wicket mostly at the score of 37 in International matches. Statement 3: Ricky Ponting has played more matches against India on Indian pitches than Australian pitches.

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

Select all that apply.

A
Sample is all the International matches played by Ricky Ponting.
B
Population is all the International matches played by Ricky Ponting.
C
Sample is 30 randomly selected International matches played by Ricky Ponting in the last 5 years.
D
Population is all the International matches played by Ricky Ponting in the last 5 years.

Show answer

Correct answers

B
Population is all the International matches played by Ricky Ponting.
C
Sample is 30 randomly selected International matches played by Ricky Ponting in the last 5 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 Ricky Ponting in International matches. He analyzes the batting statistics of 30 matches randomly selected from all the International matches played by Ponting in the last five years and issues the following statements:
Statement 1: The average runs scored by Ricky Ponting in those randomly selected 30 matches is 72.8.
Statement 2: Ricky Ponting loses his wicket mostly at the score of 37 in International matches. Statement 3: Ricky Ponting has played more matches against India on Indian pitches than Australian 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 Ricky Ponting in International matches. He analyzes the batting statistics of 30 matches randomly selected from all the International matches played by Ponting in the last five years and issues the following statements:
Statement 1: The average runs scored by Ricky Ponting in those randomly selected 30 matches is 72.8.
Statement 2: Ricky Ponting loses his wicket mostly at the score of 37 in International matches. Statement 3: Ricky Ponting has played more matches against India on Indian pitches than Australian 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 time series 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

B
Humidity measured daily at Chennai for 50 days.
C
Recording inflation data in India from 1965 to 2010 annually.

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 is a numeric and discrete variable.
B
Phone brand has a nominal scale of measurement.
C
Amount of milk (in litres) is a numeric and continuous variable.
D
Life of a bulb (in hours) has a interval scale of measurement.

Show answer

Correct answers

B
Phone brand has a nominal scale of measurement.
C
Amount of milk (in litres) is a numeric and continuous variable.

Question 5 on its own page

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 Shane Warne 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 27, 26, 27, 29, 29, 26, 26, 28, 29, 23. In the given sample, if 2 is subtracted from each observation and it is then divided by 5, then choose the correct option/s?

Select all that apply.

A
Median of new data is 6.
B
New sample variance is 0.142.
C
New sample standard deviation is 1.88.
D
New average speed is 5 km/hr.

Show answer

Correct answers

B
New sample variance is 0.142.
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 89 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 21.95% who has Brown eye color.
B
Of all the individuals with Black Eye color, there are 25% 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 21.95% who has Brown eye color.
C
There is no 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 Suman in class 10*^(th)* exam is given as 58, 78, 75, 49, 82, 65. If Kiran has scored 2 marks more than Suman in each subject, then calculate the correlation between the marks scored by Suman and Kiran.
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 15 and population standard deviation of the same dataset is 14, find the number of observations in the dataset. (Enter the value as next highest integer)

Show answer

Correct answer: 8

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 sample 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: 46.3 (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 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 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
Rohan
B
Kartik
C
Suresh
D
Mode is not defined for the given data

Show answer

Correct answer

B
Kartik

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
Rohan
B
Kartik
C
Vinayak
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