Data Science Assessment Test

1. If 50% of a is equal to b, then b% of 50 is the same as:

2. If a seller reduces the selling price of an item from Rs. 430 to Rs. 380, his loss increases by 4%. What is the cost price of the item?

3. A rectangular field has to be fenced on three sides leaving a side of 25 feet uncovered. If the area of the field is 750 sq. feet, how many feet of fencing will be required?

4. A boat goes 8 km upstream in 24 minutes. The speed of stream is 4 km/hr. The speed of boat in still water is:

5. The bar graph given below shows the sales of books (in thousand numbers) from six branches of a publishing company during two consecutive years 2000 and 2001.

What percent of the average sales of branches B1, B2 and B3 in 2001 is the average sales of branches B1, B3 and B6 in 2000?

6. For which of the following pairs of years the total exports from the three Companies together are equal?

7. As per the table below, the total expenditure on all these items in 1998 was approximately what percent of the total expenditure in 2002?

8. 45,000 candidates from 7 cities (A, B, C, D, E, and F) appeared to give a competitive examination. Only 9,000 candidates managed to qualify the exam.

For which city the ratio of qualified candidates and the appeared candidates is minimum?

9. 45,000 candidates from 7 cities (A, B, C, D, E, and F) appeared to give a competitive examination. Only 9,000 candidates managed to qualify the exam.

What is the difference between the number of qualified candidates of cities D and those of G?

10. Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in:

11. What is the mode for the following observations?                   

                        4, 3, 4, 5, 6, 7, 3, 1, 2, 3, 7, 8, 9, 3, 1

12. 78, 92, 82, and 81 are the marks scored by a student in his exams. He wants an average score of 85 or more. What is the minimum marks he must score in his last test in order to achieve that average?

13. Given IQ scores are approximately normally distributed with a mean of 100 and standard deviation of 15, the proportion of people with IQs above 130 is:

14. Given below is a box plot for a certain distribution.

The interquartile range is represented by:

15. What is the order of mean and median in a negative skewed distribution?

16. For a set of observations, the median will lie at which percentile?

17. What is the value of the third quartile if the first quartile is 26 and the inter quartile range is 48?

18. What can be the possible value of the correlation coefficient in the plot below?

19. Average of squared deviations of some observations from their arithmetic mean is called:

20. A sample is drawn randomly from a population. The mean of the population is denoted by μ

and that of the sample by x̄. What is the sampling error?