RRB NTPC - Elementary Statistics Online Test (MCQ Quiz)

1. What is the primary purpose of elementary statistics?

A) To interpret and analyze data B) To perform complex algebraic manipulations C) To develop advanced calculus techniques D) To design intricate engineering blueprints

2. Which measure represents the central tendency of a dataset?

A) Range B) Variance C) Mean D) Standard Deviation

3. The sum of all observations divided by the number of observations is known as the:

A) Median B) Mode C) Mean D) Range

4. In a dataset, the median is the value that:

A) Occurs most frequently B) Divides the dataset into two equal halves when arranged in order C) Is the average of the first and last values D) Represents the total sum of all values

5. The mode of a dataset is the value that:

A) Appears most often B) Is the middle value C) Is the average of all values D) Represents the difference between the highest and lowest values

6. Which measure indicates the spread or dispersion of a dataset?

A) Mean B) Median C) Mode D) Variance

7. Variance is calculated as the average of the:

A) Absolute deviations from the mean B) Squared deviations from the mean C) Deviations from the median D) Deviations from the mode

8. The square root of the variance is called the:

A) Range B) Interquartile Range C) Standard Deviation D) Mean Absolute Deviation

9. Which of the following is a measure of dispersion?

A) Mean B) Median C) Mode D) Range

10. The range of a dataset is defined as:

A) The sum of the highest and lowest values B) The difference between the highest and lowest values C) The average of the highest and lowest values D) The number of unique values

11. A frequency distribution table shows:

A) The order of observations B) The number of times each value or range of values occurs C) The average of the dataset D) The spread of the dataset

12. What does a histogram graphically represent?

A) A line graph of data over time B) A bar chart showing frequencies of continuous data C) A pie chart showing proportions D) A scatter plot showing relationships

13. A pie chart is best used to represent:

A) Trends over time B) Comparisons between different groups C) Proportions of a whole D) The distribution of a single variable

14. Which type of graph uses bars to represent the frequency of data points falling within specific intervals?

A) Line Graph B) Bar Chart C) Histogram D) Scatter Plot

15. What is the purpose of a scatter plot?

A) To show the frequency distribution of a single variable B) To compare multiple datasets C) To visualize the relationship between two numerical variables D) To represent parts of a whole

16. In statistics, 'data' refers to:

A) Only numerical values B) Facts and figures collected for analysis C) Conclusions drawn from an experiment D) The methods used for analysis

17. Qualitative data describes qualities or characteristics that cannot be measured numerically. Which of the following is an example of qualitative data?

A) Height B) Temperature C) Color D) Weight

18. Quantitative data represents amounts that can be measured numerically. Which of the following is an example of quantitative data?

A) Gender B) Marital Status C) Age D) Nationality

19. A dataset with two modes is called:

A) Unimodal B) Bimodal C) Multimodal D) Trimodal

20. If a dataset has no repeating values, what can be said about its mode?

A) The mode is the average of all values. B) The mode is undefined or all values are modes. C) The mode is the smallest value. D) The mode is the largest value.

21. Which measure of central tendency is most affected by outliers?

A) Median B) Mode C) Mean D) Interquartile Range

22. The interquartile range (IQR) is the difference between:

A) The maximum and minimum values B) The third quartile (Q3) and the first quartile (Q1) C) The median and the first quartile (Q1) D) The median and the third quartile (Q3)

23. Quartiles divide a dataset into how many equal parts?

A) Two B) Three C) Four D) Ten

24. The first quartile (Q1) is also known as the:

A) Median B) 25th percentile C) 50th percentile D) 75th percentile

25. The third quartile (Q3) is also known as the:

A) Median B) 25th percentile C) 50th percentile D) 75th percentile

26. What is the purpose of calculating standard deviation?

A) To find the average value B) To determine the most frequent value C) To measure the typical deviation of data points from the mean D) To find the middle value of the dataset

27. A dataset where the mean, median, and mode are approximately equal is considered:

A) Skewed B) Symmetric C) Bimodal D) Outlier-prone

28. If the tail of a distribution is longer on the right side, the distribution is said to be:

A) Symmetric B) Positively skewed C) Negatively skewed D) Uniform

29. In a negatively skewed distribution, the tail is longer on the:

A) Right side B) Left side C) Both sides D) Top side

30. Which statistical concept deals with collecting, organizing, analyzing, and interpreting data?

A) Algebra B) Geometry C) Calculus D) Statistics

31. A sample is:

A) The entire group being studied B) A subset of the population C) A type of statistical graph D) A measure of central tendency

32. The entire group of individuals or items that we are interested in studying is called the:

A) Sample B) Variable C) Population D) Statistic

33. Which of the following is NOT a measure of central tendency?

A) Mean B) Median C) Mode D) Standard Deviation

34. Which of the following is NOT a measure of dispersion?

A) Range B) Variance C) Mean D) Standard Deviation

35. What is the median of the dataset: 2, 5, 1, 8, 3?

A) 3 B) 4 C) 5 D) 2

36. What is the mode of the dataset: 3, 5, 3, 7, 5, 3, 8?

A) 3 B) 5 C) 7 D) 8

37. What is the mean of the dataset: 10, 20, 30, 40, 50?

A) 20 B) 30 C) 40 D) 50

38. Calculate the range of the dataset: 15, 8, 22, 10, 18.

A) 10 B) 14 C) 22 D) 30

39. What is the variance of the dataset: 2, 4, 6, 8?

A) 2.5 B) 5 C) 6.25 D) 10

40. What is the standard deviation of the dataset: 2, 4, 6, 8?

A) 2.5 B) 5 C) 6.25 D) 2.5

41. If a dataset is {1, 2, 3, 4, 5}, what is the median?

A) 1 B) 2 C) 3 D) 4

42. If a dataset is {1, 2, 2, 3, 4, 4, 4, 5}, what is the mode?

A) 2 B) 3 C) 4 D) 5

43. What is the first quartile (Q1) of the dataset: 1, 3, 5, 7, 9, 11, 13?

A) 3 B) 5 C) 7 D) 9

44. What is the third quartile (Q3) of the dataset: 1, 3, 5, 7, 9, 11, 13?

A) 3 B) 5 C) 9 D) 11

45. What is the interquartile range (IQR) of the dataset: 1, 3, 5, 7, 9, 11, 13?

A) 4 B) 6 C) 8 D) 10

46. A dataset shows that 60% of the observations are below a certain value. This value represents the:

A) Mean B) Median C) 60th percentile D) Mode

47. In a frequency table, the 'frequency' column indicates:

A) The sum of the values B) The number of times a particular value or range of values appears C) The average value D) The highest value

48. Which statistical measure is used to summarize a dataset by a single value that best represents the center of the data?

A) Measures of Dispersion B) Measures of Central Tendency C) Measures of Skewness D) Measures of Kurtosis

49. When dealing with ordinal data (data that can be ranked but not precisely measured), which measure of central tendency is most appropriate?

A) Mean B) Median C) Mode D) Standard Deviation

50. The probability of an event occurring is a value between:

A) 0 and 1 (inclusive) B) 0 and 100 (inclusive) C) -1 and 1 (inclusive) D) 0 and infinity

Elementary Statistics - Online Test

Test Results