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| Question 1: For Which Value of ‘a’, Mode of the Following Data is 3: 4, 5, 6, 3, 5, 4, 3, 5, 6, 3, 3 (a) 5 (b) 6 (c) 3 (d) 4 | Solution: The answer is option (c) 3. Mode amounts are the most common value within a given data set. Within the set, 3 appears four times which makes it mode in the series. |
| Question 2: Value of Mean and Mode are Given as 30 and 15, respectively. Value of Median is - (a) 25 (b) 26 (c) 24.5 (d) 22.5 | Solution: The answer is option (a) 25. The relation between mean, median and mode is, Mean – Mode = 3 (Mean – Median). Substituting the value, the equation becomes 30 – 15 = 3 (30 – Median). On solving, the median comes to 25. |
| Question 3: Which of the Following Holds for Mode? (a) It is the most frequent value (b) It is somewhere in the middle in terms of frequency (c) It is the least frequent value (d) None of the above is correct | Solution: The answer is option (a). The definition of mode indicates that it is the repeatedly occurring value within a given data series. |
| Question 4: Which Among the Following Cannot be Represented Graphically? (a) Median (b) Mean (c) Mode (d) None of the above option | Solution: The answer is an option (b). Mean is a specific value derived from the sum of all values and divided by the number of times of values. Given that this value is single and cannot be made to undergo a comparison with other values, its graphical representation is not feasible. |
| Question 5: In Case of Computation of Mean within a Grouped Data, the Assumption is that Frequencies are - (a) Centered at lower limit among classes (b) Centered at upper limit among classes (c) Evenly placed across all classes (d) Centered within class marks among classes | Solution: An answer is an option (d). In the computation of the mean of grouped data, the frequencies are always located at the center within the class marks. |
| Question 6: Which of the Following is Determined by Constructing a Cumulative Frequency Table? (a) Median (b) Mean (c) Mode (d) None of the above option | Solution: An answer is an option (a). The median of a series is determined with the help of the cumulative frequency table. |
| Which of the following definitions is the definition of the MEAN? A. The MEAN is the largest value. B. The MEAN is the value that half of the entries are below and half of the entries are above. C. The MEAN is the value that has the highest frequency. D. The MEAN is the average calculated by adding up all the values and dividing by the number of entries. | D. The MEAN is the average calculated by adding up all the values and dividing by the number of entries. |
| Which of the following definitions is the definition of the MEDIAN? A. The MEDIAN is the value that half of the entries are below and half of the entries are above. B. The MEDIAN is the value that has the highest frequency. C. The MEDIAN is the largest value. D. The MEDIAN is the average calculated by adding up all the values and dividing by the number of entries. | A. The MEDIAN is the value that half of the entries are below and half of the entries are above. |
| What is the median of the following set of numbers? {12,8,13,4,7,6,3,3,15} A. 12 B. 8 C. 7 D. 7.5 | D. 7.5 |
| Identify the sampling technique used. Every fifth person boarding a plane is searched thoroughly. A. Stratified B. Systematic C. Cluster D. Convenience E. Random | Correct Answer(s) B. Systematic Explanation A systematic sample is a sample in which each member of the population is assigned a number. |
| The average of seven observations 7, 9, 12, x, 5, 4, 11 is 9. The value of x is A) 13 B) 14 C) 15 D) 8 A. A B. B C. C D. D | Correct Answer(s) C. C |
| The arithmetic mean of n natural numbers from 1 to n is ------------- A. n(n+1)/2 B. n(n+1)(2n+1)/6 C. (n+1)/2 D. (2n+1)/2 A. A B. B C. C D. D | Correct Answer(s) C. C |
| Probability can take values A) -∞ to ∞ B) -∞ to 1 C) -1 to 1 D) 0 to 1 A. A B. B C. C D. D | Correct Answer(s) D. D |
| The probability of the intersection of two mutually exclusive events is always A) Infinity B) Zero C) One D) None of the above A. A B. B C. C D. D | Correct Answer(s) B. B |
| Level of significance is the probability of …………. A. Type I error B. Type II error C. No error D. Any of the above A. A B. B C. C D. D | Correct Answer(s) A. A |
| Mr. Villalta's Math quizzes are normally scored out of 10 marks. Ann got a 3, 7, 9, 10, 8 in her first five quizzes. What is her mean score A. 3.7 B. 5 C. 7.4 D. 37 | Correct Answer(s) C. 7.4 |
| The test scores for a class are 86, 94, 70, 81, 92, 74, 75, 89, 76, and 97. What is the mean of the data set? | Correct answer: m = 83.4 Step-by-step explanation: |