The IIT Madras BS Statistics for Data Science I (Stats 1) Quiz 1 paper sat on 27 Oct 2024, in the September 2024 term: 14 questions for 40 marks in 120 minutes. Every question is below with its answer. Take it as a timed mock test to be marked, or read it through first.
Based on the above data, answer the given subquestions.
Based on the data collected from an organisation, an analyst made a statement that the average salary of an employee is 50,000 rupees in different organizations in the city. The given statement of the analyst is based on which kind of statistical analysis ?
Descriptive statistics
Inferential statistics
Correct answer
Inferential statistics
Based on the above data, answer the given subquestions.
What is the sample standard deviation of salary (in thousand rupees)? (Enter the answer correct to 2 decimal accuracy)
Correct answer: 12.25 (accepted within ±0.03)
What is the mode of the dataset?
Strawberry
40
Chocolate
70
Correct answer
Chocolate
What percentage of the total votes is represented by Butterscotch and Strawberry ice creams combined?
31.81%
20%
22.72%
50%
Correct answer
31.81%
Please answer the subquestions based on the given stem-and-leaf plot,
What is the median of the data set represented by the stem-and-leaf plot?
Correct answer: 28
Please answer the subquestions based on the given stem-and-leaf plot,
Calculate the range of the data set.
Correct answer: 34
Please answer the subquestions based on the given frequency distribution table for different types of cusines preferred by 150 people:
What is the value of y (frequency of Thai cuisine)?
Correct answer: 15
Please answer the subquestions based on the given frequency distribution table for different types of cusines preferred by 150 people:
What is the value of x (relative frequency of Mexican cuisine)?(write correct upto 2 decimal places)
Correct answer: 0.16 (accepted within ±0.01)
Please answer the subquestions based on the given dataset:
Find the sample covariance between X and Y for the dataset given in Table 2.
Correct answer: 48
Please answer the subquestions based on the given dataset:
Find the sample correlation coefficient(r) between X and Y for the dataset given in Table 2. (Write correct upto 3 digits after the decimal)
Correct answer: 0.923 (accepted within ±0.002)
Which of the following statements is/are true ?
A sample is the subset of a population.
Numerical variables can have all the properties of ordinal and nominal scales of measurement.
Descriptive measures like Mean, Median, and Mode all of them can be used to summarize the categorical variable.
The correlation coefficient measures the strength of the linear association between two numerical variables.
Correct answers
A sample is the subset of a population.
Numerical variables can have all the properties of ordinal and nominal scales of measurement.
The correlation coefficient measures the strength of the linear association between two numerical variables.
If a categorical variable is measured on an ordinal scale, which of the following statistical measures is(are) appropriate?
Mean
Median
Mode
Variance
Correct answers
Median
Mode
Given bar chart represent the T-Shirt sizes worn by the members of a sports club. Which of the following option(s) is(are) the best way to represent the data?
Correct answers
In an exam, students' scores have an interquartile range (IQR) of 20. The teacher decides to first add 5 marks to each student's score and then multiply each adjusted score by 2. What will be the interquartile range now?
Correct answer: 40
