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IITM BS Week 3 Statistics 1 Questions | Prasnya

Statistics 1 > Week 3

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12Q

A company has two departments. The Sales department has 30 employees with an average monthly salary of ₹50,000, while the Marketing department has 20 employees with an average monthly salary of ₹60,000. If the company considers both departments together, what is the overall average monthly salary of all employees?

Consider the dataset 4, 7, 5, 3, 9. If 3 is added to all observations, what is the 75th percentile of the new dataset?

21 December 2025

The median of the data set y_1, y_2, y_3, ..., y_n is 20. What is the median of the transformed dataset 5y_1 - 3, 5y_2 - 3, 5y_3 - 3, ..., 5y_n - 3?

21 December 2025

Consider the dataset 10, 27, 32, 15 and 22. If we subtract 3 from all observations, find the difference between IQR of the new dataset and the old dataset.

The total number of observations in a dataset is 8. If the mean of first 4 observations is 12 and the mean of all 8 observations is 18, then find the mean of last 4 observations.

The average of 15 observations is 48. If the average of the first 8 observations is 42 and the average of the last 8 observations is 54, what is the value of the 8th observation?

22 December 2024

If the mean and sample variance of the data 1, 6, 10, 14, 4, x_1, x_2 are 7 and

\frac{53}{3}

respectively, then find the value of |x_1 - x_2|.

01 September 2024

If the mean of the observations 2a, 10, 3a, 50 and 40 is 30, then find the median of the dataset.

The mean and sample standard deviation of the dataset consisting of 8 observations is 15 and 11 respectively. Later it is noted that one observation 13 is wrongly noted as 10. What is the mean of the original dataset? Enter the answer correct to two decimal places.

Consider the dataset 17, 21, 14, 23 and 19. If we add 2 to all observations, then what is the difference between 50th percentile of new dataset and 30th percentile of old dataset?

24 December 2023

Consider the dataset 15, 19, 12, 21 and 17. If we add 2 to all observations, then what is the difference between 50th percentile of new dataset and 30th percentile of old dataset?

11 December 2022

What is the Interquartile range (IQR) of the dataset 42, 51, 62, 47, 38, 50, 54, 43?

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