# Statistics and Probability Basics MCQs Solution | TCS Fresco Play

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1. What is the numerical measure of average variability of a data set around the mean

**Standard deviation -- Correct**

2. Which type of statistics helps us understand how the data looks like without giving much information on analysis of the data?

**Descriptive statistics -- Correct**

3. Which of the following is an arithmetic mid-value?

**Mean -- Correct**

4. If a class consists of 20 males and 8 females, what is the probability of drawing 4 females without replacement?

**P = (8/28)(7/27)(6/26)*(5/25) -- Correct**

5. Your team has 10 members and you need 3 of them for an app development. How many possible combinations are there?

**120 -- Correct**

6. How many different ways can four team members from the group of fifteen be lined up for a photograph.

**1365 -- Correct**

7. Identify the variables that are continuous or discrete

**Time & Weight are continuous. Color & Country are discrete -- Corrects**

8. When the Standard Deviation in a Normal Distribution is higher, which of the following is true?

**The peak of the distribution is lower -- Correct**

9. What are the characteristics of normal distribution

**The mean lies at the center of the distribution -- Correct**

10. There may be times when data is supposed to fit a normal distribution, but does not. Which of the following could be reasons for this?

**Outliers and Small Sample Size -- Correct**

11. In which of these examples, binomial distribution can be used?

**Probability of getting a certain number of questions correct in an exam -- Correct**

12. Which of the following characteristics correspond to a Binomial Distribution?

**All the options -- Correct**

13. Which of the following conditions are satisfied by Poisson random variable?

**Probability that an event occurs in a given length of time does not change over time -- Correct**

14. Which of the following can be modelled using Poisson distribution

**Number of accidents that occur on a particular highway in a given month -- Correct**

15. Any statement whose validity is tested on the basis of a sample is called:

**Statistical hypothesis -- Correct**

16. If a finding is statistically significant one must also interpret the data, calculate an effect size indicator, and make an assessment of practical significance

**True -- Correct**

17. The probability of rejecting the null hypothesis when it is true is called:

**Level of significance -- Correct**

18. After a clinical trial, it is concluded that both drugs A and B are equally effective. What type of a hypothesis is this?

**Null hypothesis -- Correct**

19. The significance level is the risk of:

**Rejecting H0 when H0 is correct -- Correct**

20. If you reject H0 but H0 is true, what type of error has occurred?

**Type I -- Correct**

21. Assuming innocence until proven guilty, a Type I error occurs when an innocent person is found guilty

**True -- Correct**

22. Which variable represents the actual Type I error?

**P- value -- Correct**

23. A Type I error is also known as a ______.

**False positive -- Correct**

24. A passing student is failed by an examiner, it is an example of:

**Type-II error -- Correct**

25. The shape of the t-distribution depends upon the:

**Degrees of freedom -- Correct**

26. Which of the following is not the purpose of student's t-distributions?

**When modelling the actual number of failures in a trial -- Correct**

27. Which of the following is not the purpose of using chi-square distributions?

**To test how closely data follows a non-normal distribution -- Correct**

28. What of the following is not a characteristic of F-distribution curve?

**The curve is left skewed -- Correct**

29. The ANOVA is a statistical test that is used to compare how many group means?

**Two or more -- Correct**

30. A post hoc test is:

**A follow-up test to the ANOVA when there are three or more groups -- Correct**

31. A statistical test used to compare 2 or more group means is known as:

**One-way analysis of variance -- Correct**

32. A statistician calculates a 95% confidence interval for Mean when Standard Deviation is known. The confidence interval is Rs.18000 to Rs.22000, the amount of the sample mean is:

**20000 -- Correct**

33. The p-value in statistical significance testing should be used to assess how strong a relationship is. For example, if relationship A has a p=.04 and relationship B has a p=.03 then you can conclude that relationship B is stronger than relationship A.

**False -- Correct**

34. The use of the laws of probability to make inferences and draw statistical conclusions about populations based on sample data is referred to as

**Inferential statistics -- Correct**

35. In which examples could binomial distribution be used?

**Modelling the number of failures in a trial -- Correct**

36. A good way to get a small standard error is to use a ________.

**Small sample -- Wrong**

37. Any hypothesis which is tested for the purpose of rejection under the assumption that it is true is called?

**Null hypothesis -- Correct**

38. Confidence interval become narrow by increasing the:

**Sample size -- Correct**

39. An advertising agency wants to test the hypothesis that the proportion of adults in a country who read a Sunday Magazine is 25 percent. The null hypothesis is that the proportion reading the Sunday Magazine is:

**Equal to 25% -- Correct**

40. The analysis of variance is a statistical test that is used to compare how many group means?

**Two or more -- Correct**

41. Identify which of the following steps would not be included in hypothesis testing.

**Eliminate all outliers -- Correct**

42. An essential component of the Central Limit Theorem is that

**The average of sample means will be the population mean. -- Wrong**

43. A failing student is passed by an examiner, it is an example of:

**Type-II error -- Wrong**

44. The dividing point between the region where the null hypothesis is rejected and the region where it is not rejected is said to be

**Critical value -- Correct**

45. A door alarm works in 72 out of 100 cases and surveillance camera works in 68 out of 100 cases. What is the probability of effective screening techniques keeping in mind that these two methods can be used together?

**0.49 -- Wrong**

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