This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 15 Statistics – Quiz 5 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 15 Statistics Quiz 5 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. If sin(x) = 1/2, what is the value of x in degrees? A) 45. B) 90. C) 60. D) 30. Show Answer Correct Answer: A) 45. 2. What is the branch of mathematics that deals with the collection, organization, presentation, analysis, and interpretation of data? A) Statistics. B) Algebra. C) Geometry. D) Trigonometry. Show Answer Correct Answer: A) Statistics. 3. Which operation is possible only if two matrices have the same dimensions? A) Addition. B) Multiplication. C) Transposition. D) Inversion. Show Answer Correct Answer: A) Addition. 4. To determine if the average plant heights of Group I and Group II are significantly different, which of the following steps should you take? A) Calculate the mean and variance for each group, perform an F-test for equal variances, then use a t-test to compare the means. B) Calculate the sum of heights for each group and compare. C) Only calculate the mean for each group. D) Use a Chi-square test to compare the means. Show Answer Correct Answer: A) Calculate the mean and variance for each group, perform an F-test for equal variances, then use a t-test to compare the means. 5. Find the z-score.Mean = 40Standard Deviation:1.4x = 42 A) 1.28. B) 1.43. C) -1.4. D) 1.24. Show Answer Correct Answer: B) 1.43. 6. Which of the following data result from infinitely many possible values that can be associated with points on a continuous scale in such a way that there are no gaps or interruptions? A) Continuous. B) Quantitative. C) Discrete. D) Qualitative. Show Answer Correct Answer: A) Continuous. 7. Which of the following is used to represent the probability of event $A$ A) $E(A)$. B) $P(A)$. C) $V(A)$. D) $S(A)$. Show Answer Correct Answer: B) $P(A)$. 8. When two pieces of data seem related A) Prediction. B) Statistics. C) Inductive Reasoning. D) Deductive Reasoning. E) Correlation. Show Answer Correct Answer: E) Correlation. 9. What is the purpose of using models in mathematics? A) To write stories. B) To create art. C) To simplify complex problems. D) To memorize facts. Show Answer Correct Answer: C) To simplify complex problems. 10. Measurement in heights is a very good example of this scale measurement A) Interval. B) Nominal. C) Ratio. D) Ordinal. Show Answer Correct Answer: C) Ratio. 11. The median of the observations 11, 12, 14, 18, x+2, x+4, 30, 32, 35, 41 arranged in ascending order is 24. Find the value of x. A) 22. B) 23. C) 24. D) 21. Show Answer Correct Answer: D) 21. 12. The standard deviation of a dataset is 4. If each data point in the dataset is multiplied by 2, what is the new standard deviation? A) 2. B) 16. C) 4. D) 8. Show Answer Correct Answer: D) 8. 13. In the formula x = a + h(fiui/fi), for finding the mean of grouped frequency distribution, ui = A) (xi-a)/h. B) (xi+a)/h. C) (a-xi)/h. D) H (xi-a). Show Answer Correct Answer: A) (xi-a)/h. 14. What is the purpose of drawing a histogram of the variable Sepal.width? A) To visualize the distribution of Sepal.width values. B) To calculate the mean of Sepal.width. C) To test the correlation between Sepal.width and Sepal.length. D) To compute the variance of Sepal.width. Show Answer Correct Answer: A) To visualize the distribution of Sepal.width values. 15. How do you find the range for a set of number? A) The biggest number minus the smallest number. B) Add the numbers then divide. C) The smallest number minus the biggest number. D) All of the above. Show Answer Correct Answer: A) The biggest number minus the smallest number. 16. Data in the form of numbers A) Outlier. B) Statistics. C) Distribution. D) Numerical Data. Show Answer Correct Answer: D) Numerical Data. 17. One of the given is a type of Data A) Psycho Naturo Data. B) Spacio Temporal Data. C) Econo Techno Data. D) Socio Level Data. Show Answer Correct Answer: B) Spacio Temporal Data. 18. Statistics is a branch of mathematics that involves ..... A) Collecting data. B) Analysing data. C) Making sense of data. D) All of the above. Show Answer Correct Answer: D) All of the above. 19. Which method is used to find the line of best fit for a set of data? A) Box plot. B) Arithmetic mean. C) Least squares regression. D) Venn diagram. Show Answer Correct Answer: C) Least squares regression. 20. Which of the following is a primary focus of statistical analysis? A) Writing essays. B) Learning languages. C) Interpreting data. D) Painting pictures. Show Answer Correct Answer: C) Interpreting data. 21. It is the most occurring value in a series. A) Mode. B) Mean. C) Median. D) Percentile. Show Answer Correct Answer: A) Mode. 22. If we use the mean to measure the typical value or center of the data, we would use the ..... to measure the variability. A) IQR. B) Median. C) Mean. D) Standard Deviation. Show Answer Correct Answer: D) Standard Deviation. 23. Which of the following data results from either a finite number of possible values or countable number of possible values as 0, or 1, or 2, and so on? A) Continuous. B) Qualitative. C) Quantitative. D) Discrete. Show Answer Correct Answer: D) Discrete. 24. What is the formula for calculating the standard deviation of a set of numbers? A) Square root of the variance. B) Product of the numbers. C) Sum of the numbers. D) Mean of the numbers. Show Answer Correct Answer: A) Square root of the variance. 25. If you want to calculate the average of B.Sc. marks for the 10 students, which of the following steps should you take? A) Add all B.Sc. marks and divide by 10. B) Multiply all B.Sc. marks together. C) Subtract the lowest B.Sc. mark from the highest. D) Add all Entrance marks and divide by 10. Show Answer Correct Answer: A) Add all B.Sc. marks and divide by 10. 26. In the context of probability distributions, what does the notation P(X=5) represent? A) The probability that the random variable X takes the value 5. B) The mean of the distribution. C) The variance of the distribution. D) The cumulative probability up to 5. Show Answer Correct Answer: A) The probability that the random variable X takes the value 5. 27. IDENTIFY IF THE QUESTION IS AN OPEN-FORMAT QUESTION OR CLOSED FORMAT QUESTION.On scale of 1-5, how satisfied are you in the product? A) Both. B) Open Format Question. C) Closed Format Question. D) None of the above. Show Answer Correct Answer: C) Closed Format Question. 28. How can a pie chart be defined? A) A table that displays the frequency of the data. B) A graphical representation of information using bars. C) A statistical diagram where each category is represented by a sector of a circle. D) None of the above. Show Answer Correct Answer: C) A statistical diagram where each category is represented by a sector of a circle. 29. What is the difference between a producer and a consumer in an ecosystem? A) Producers eat other organisms, while consumers make their own food. B) Producers make their own food, while consumers eat other organisms. C) Producers decompose dead organisms, while consumers eat plants. D) Producers and consumers are the same thing. Show Answer Correct Answer: B) Producers make their own food, while consumers eat other organisms. 30. Can a data set have more than one mode? A) True. B) False. C) Neither. D) Only if the mean and median are given. Show Answer Correct Answer: A) True. 31. Find the interquartile range (IQR) of the data set:(13 data)9, 8, 3, 10, 6, 5, 9, 7, 11, 15, 7, 16, 3 A) 6. B) 5. C) 5.5. D) 4.5. Show Answer Correct Answer: B) 5. 32. Statistics is a branch of mathematics that develops experiments, observations or other statistical methods to collect ..... A) Words. B) Data. C) Answers. D) People. Show Answer Correct Answer: B) Data. 33. As the number of trials in an experiment increases, the experimental probability of an event approaches the theoretical probability of the same event, meaning the difference between the experimental and theoretical probability will be closer to zero A) Fundamental counting principal. B) Independent event. C) Inference. D) Law of large numbers. Show Answer Correct Answer: D) Law of large numbers. 34. What do you call the different arrangements of the objects of a group? A) Combination. B) Permutation. C) Selection. D) Differentiation. Show Answer Correct Answer: B) Permutation. 35. What is a 'median' in statistics? A) The average of a data set. B) The middle value in a data set. C) The most frequently occurring value. D) The difference between the highest and lowest values. Show Answer Correct Answer: B) The middle value in a data set. 36. What is a Complement in probability? A) Not here. B) Probability of an event NOT happening. C) Saying You look very nice today. D) Probability of an event happening. Show Answer Correct Answer: B) Probability of an event NOT happening. 37. A measure of variation in a set of numerical data. The interquartile range is the distance between the first and third quartiles of the data set. A) Mean. B) Range. C) Median. D) Interquartile Range. Show Answer Correct Answer: D) Interquartile Range. 38. . A restaurant offers 4 kinds of soup, 7 kinds of main dish, 5 kinds of vegetable dish, and 6 kinds of dessert. In how many possible ways can the restaurant form a meal consisting of 1 soup, 2 main dish, 3 vegetable dish, and 2 desserts? A) 106. B) 12 600. C) 840. D) 990. Show Answer Correct Answer: B) 12 600. 39. If you are asked to display the number of students admitted in 2012 and 2013 from each district in a single chart, which type of bar diagram would be most suitable? A) Multiple and subdivided bar diagram. B) Simple bar diagram. C) Pie chart. D) Line chart. Show Answer Correct Answer: A) Multiple and subdivided bar diagram. 40. A visual display of the distribution of data values using the median. Quartiles, and extremes of the data set. A box shows the middle 50% of the data A) Box Plot. B) Frequency. C) Measures of Center. D) Mode. Show Answer Correct Answer: A) Box Plot. 41. The following are needed to do for geometric construction except A) Draw lines. B) Calculating numbers. C) Draw angles. D) Draw arcs. Show Answer Correct Answer: B) Calculating numbers. 42. Area of statistics about making decisions and drawing conclusions about populations. A) Descriptive Statistics. B) Inferential Statistics. C) All the above. D) None of the above. Show Answer Correct Answer: B) Inferential Statistics. 43. Statistics shapes our lives and influence our decisions A) True. B) False. C) Maybe. D) Not at all. Show Answer Correct Answer: A) True. 44. A researcher plans to conduct a test of hypotheses at the $\alpha$ = 0.01 significance level. She designs her study to have a power of 0.90 at a particular alternative value of the parameter of interest. The probability that the researcher will commit a Type I error is A) 0.10. B) 0.90. C) 0.01. D) 0.99. Show Answer Correct Answer: C) 0.01. 45. In MS-Excel, which steps should you follow to find the variance of Entrance marks for each category using the pivot table option? A) Insert a pivot table, place category in rows, Entrance marks in values, and set the value field to "Variance". B) Sort the data by category and manually calculate variance. C) Use the SUM function for each category. D) Apply conditional formatting to highlight high marks. Show Answer Correct Answer: A) Insert a pivot table, place category in rows, Entrance marks in values, and set the value field to "Variance". 46. It is a field of mathematics that deals with chances. A) Probability. B) Algebra. C) Trigonometry. D) Geometry. Show Answer Correct Answer: A) Probability. 47. Subset of the population containing the observed objects or the outcomes is called sample. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 48. It is a data collection method done when a person solicits information from another person(face-to-face) A) Interview Method. B) Experimentation Method. C) Observation Method. D) Questionnaire Method. E) Registration Method. Show Answer Correct Answer: A) Interview Method. 49. R is the symbol for the ..... A) Population correlation coefficient. B) Population mean. C) Sample mean. D) Sample correlation coefficient. Show Answer Correct Answer: D) Sample correlation coefficient. 50. Which of the following is an example of categorical (qualitative) data set? i. Ages of grade 7 students.ii. Favorite flavor of ice cream for each of 6th graders.iii. Internet browsing hours spent of grade 7 students.iv. My favorite Milktea flavors. A) Ii and iii. B) Ii and iv. C) Ii only. D) Iii only. Show Answer Correct Answer: B) Ii and iv. 51. Which standard deviation would have data that is farthest apart? A) Standard deviation of 1. B) Standard deviation of 2. C) Standard deviation of 3. D) Standard deviation of 4. Show Answer Correct Answer: D) Standard deviation of 4. 52. Identify the kind of variable in this situation:number of paper clips in mason jar on Mr. Rhoades' desk A) Ordinal. B) Discrete. C) Continuous. D) Nominal. Show Answer Correct Answer: B) Discrete. 53. * 7/2 * 39 / 9 * 33 is equal to: A) 3. B) 33. C) 1. D) 3/93. Show Answer Correct Answer: B) 33. 54. In tossing a coin, find the probability of getting a head. A) $\frac{1}{4}$. B) 1. C) $\frac{1}{2}$. D) $\frac{1}{3}$. Show Answer Correct Answer: C) $\frac{1}{2}$. 55. In a class there are 11 students who study French and German, 5 students who do not study French or German, 14 students who study French and 22 students who study German. What is the probability that a student chosen at random only studies German? A) 5/41. B) 17/41. C) 11/41. D) 6/41. Show Answer Correct Answer: C) 11/41. 56. Given the iris data, how would you determine which species has the largest average sepal length? A) By calculating the average sepal length for each species and comparing them. B) By counting the number of entries for each species. C) By drawing a pie chart of species names. D) By sorting the data by petal width. Show Answer Correct Answer: A) By calculating the average sepal length for each species and comparing them. 57. For what value of x will make 3/(x+1) = 2/(x-3) true? A) -12. B) -11. C) 12. D) 11. Show Answer Correct Answer: D) 11. 58. According to the instructions, how would you classify a student with a Combined score of 80? A) Distinction. B) First. C) Second. D) Fail. Show Answer Correct Answer: A) Distinction. 59. What level of measurement is characterized by data that consist of names, labels, or categories only? A) Nominal. B) Ordinal. C) Interval. D) Ratio. Show Answer Correct Answer: A) Nominal. 60. Suppose you are given the monthly electricity bill data for a family. How would you identify the month with the highest bill? A) By examining the data and finding the maximum value. B) By drawing a pie chart. C) By calculating the average. D) By sorting the data alphabetically. Show Answer Correct Answer: A) By examining the data and finding the maximum value. ← PreviousNext →Related QuizzesScience QuizzesClass 11 QuizzesClass 11 Mathematics Chapter 15 Statistics Quiz 1Class 11 Mathematics Chapter 15 Statistics Quiz 2Class 11 Mathematics Chapter 15 Statistics Quiz 3Class 11 Mathematics Chapter 15 Statistics Quiz 4Class 11 Mathematics Chapter 15 Statistics Quiz 6Class 11 Mathematics Chapter 15 Statistics Quiz 7Class 11 Mathematics Chapter 15 Statistics Quiz 8Class 11 Mathematics Chapter 15 Statistics Quiz 9 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books