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54, Mathematics Class 9, Chapter 14: Statistics, MULTIPLE-CHOICE QUESTIONS, Choose the correct answer from the given four options in the following questions:, 1. A student collects information about the number of school going children in a, locality consisting of a hundred households. The data collected by him is, (a) primary data, (c) grouped data, (b) secondary data, d) arrayed data, 2. To analyse the election results, the data is collected from newspapers. The data, thus collected is known as, (b) secondary data, (d) grouped data, (a) primary data, (c) raw data, 3. Which of the following variables are discrete?, 1. Size of shoes, 2. Number of pages in a book, 4. Time, 3. Distance travelled by a train, (a) 1 and 4, (b) 1 and 3, (c) 1 and 2, (d) 2 and 4, 4. For a given data, the difference between the maximum and minimum, observations is known as its, (a) class, (c) class mark, (b) range, (d) class limit, 5. A data is such that its maximum value is 75 and range is 20, then the minimum, value is, (a) 95, (b) 55, (c) 20, d) 75, 6. In a grouped frequency distribution, the class intervals are 0-10, 10-20,, 20-30, ..., then the class width is, (a) 20, (b) 15, (c) 10, (d) 30, 7. In a grouped frequency distribution, the class intervals are 1-20, 21-40,, 41-60, ...,, then the class width is, (с) 10, 8. Class size of a distribution having 28, 34, 40, 46 and 52 as its class marks is, (c) 5, (а) 10.5, (b) 30, (d) 20, (а) 3, (b) 4, (d) 6, 9. Given the class intervals 0-10, 10-20, 20–30,, then 10 is considered in class, ..., (а) 0—10, b) 10-20, c) 0-20, d) 10-30, 10. The class mark of the class interval 2.4-6.6 is, (a) 2.4, b) 4.5, c) 6.6, (а) 4.2, 11. The class marks of a frequency distribution are as given below:, 38, 43, 48, 53, 58

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Mathematics Class 9, The class corresponding to the class mark 43 is, (а) 38-48, (b) 38.5-48.5, (с) 35.5-45., d) 40.5-45.5, 12. The class size of a distribution is 25 and the first class interval is 200-224. Then,, the class marks of first two class intervals are, (a) 212, 237, b) 237, 262, (c) 212, 262, d) 237, 287, 13. Observe the table given below and choose the correct alternative in each case., Column, P, Q, S, U, Marks scored, 30-40, 40-50, 50-60, 60-70, 70-80, 80-90, Number of students, 4, 8, 12, 10, 7, 4, (i) The class mark of R is, (a) 50, b) 60, (c) 55, d) 12, (ii) The class width of T is, b) 10, (iii) The frequency of Q is, (a) 70, c) 80, (d) 7, (a) 50, b) 40, c) 45, d) 8, (iv) The class size of P is, (a) 80, (b) 10, c) 90, d) 4, 14. A grouped frequency table with class intervals of equal sizes using 3-5, (5 included in this interval) as one of the class intervals is constructed for the, following data:, 1, 4, 7, 2, 3, 9., 2, 7, 3, 2, 6., 3, 1, 4, 4, The frequency of the class 3- is, (a) 8, (b) 11, c) 5, (d) 3, 15. The given cumulative frequency distribution shows the class intervals and their, corresponding cumulative frequencies., Class, 10-20, 20-30, Cumulative frequency, 5, 14, 25, Then, the frequency of class interval 20-30 is, (a) 5, (b) 9, (c) 11, (d) 20, 16. 'Less than' cumulative frequency table for a given data is as follows:, Marks, Less than 10 Less than 20 Less than 30 Less than 40, Ситulative frequency, 3, 17, 37, 92

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56, Mathematics Class 9, Then, the frequency of class interval 20-30 is, (a) 20, (b) 14, (c) 55, (d) 34, 17. 'More than' cumulative frequency table for a given data is as follows:, More than, More than, More than, More than, Marks, 89, 79, 69, 59, Cumulative frequency, 8, 18, 30, 65, Then, the frequency of the class interval 70-80 is, b) 35, (a) 10, (c) 12, (d) 22, 18. In a bar graph, 0.25 cm length of a bar represents 100 people. Then, the length, of bar which represents 2000 people is, (а) 4 cm, (b) 4.5 cm, (c) 5 cm, (d) 3.5 сm, 19. In a bar graph, the widths of bars, (a) have no significance, (b) are proportional to the corresponding heights, (c) are proportional to the corresponding frequencies, (d) are proportional to the space between two consecutive bars, 20. For drawing a frequency polygon of a continuous frequency distribution, we, plot the points whose ordinates are the frequency of respective classes and, abscissa are respectively, (a) lower limits of the classes, (b) upper limits of the classes, (c) class marks of the classes, (d) upper limits of preceeding classes, 21. One of the sides of a frequency polygon is, (a) the x-axis, (b) the y-axis, (c) either of the coordinate axes, (d) neither of the coordinate axes, 22. Which of the following is not a measure of central tendency?, (a) Mean, (b) Median, (c) Mode, d) Standard deviation, 23. The mean for counting numbers through 100 is, (c) 50.5, (a) 50, (b) 49.5, (а) 51, 24. The mean of first four prime numbers is, (a) 4, (b) 4.5, (c) 3.75, (d) 4.25, 25. The smallest of three consecutive even integers is 32. Then, the mean of the, three integers is, (а) 34, (b) 36, (c) 33, (d) 35

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Mathematics Class 9, 57, 26. If each observation of the data is increased by 3, then their mean, (a) becomes 3 times the original mean, (b) is decreased by 3, (c) is increased by 3, (d) remains the same, 27. The mean of 30 observations is 12. If 25 is subtracted from the sum of, observations, then remaining sum is, (а) 375, (с) 385, (b) 335, (а) 365, 28. The mean of prime numbers between 30 and 40 is, (a) 37, (c) 34, (b) 31, (d) 36, 29. The mean of x, x, is 6 and mean of x, x, , x is 7. The value of x, is, (a) 2, (c) 5, (b) 9, (d) 4, [CBSE SP 2010], 30. Sheila received x marks in two of her tests and y marks in three other tests. Her, average score in all the five tests in terms of x and y is, Зх + 2у, (a), 2х + Зу, (b), () ***, 3x + 2y, 2x + 3y, (d), 3, 2, 31. The marks obtained by 10 students in a mathematics test are 75, 90, 70, 50, 70,, 50, 75, 90, 70 and 75. Their median mark is, (a) 70, (b) 71., (с) 72.5, (d) 75, 32. Out of sixteen observations arranged in an ascending order, the 8th and 9th, observations are 25 and 27. Then, the median is, (a) 25, (b) 27, (c) 26.5, (d) 26, 33. The following observations have been arranged in an ascending order:, 18, 20, 25, 26, 30 x, 37, 38, 39, 48, If the median of the data is 35, then the value of x is, (а) 35, (b) 40, (c) 45, d) 50, 34. Mode of a set of observations is the value which, (a) occurs most frequently, (b) divides the observations into two equal parts, (c) is the mean of the middle two observations, (d) is the sum of the observations, 35. The mode of 4, 6, 7, 6, 4, 2, 4, 8, 6, 4, 3, 4, 6 is, (а) 6, (b) 4, (c) 3, d) 2, [CBSE SP 2010]

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58, Mathematics Class 9, 36 The given data is 3, 5, 6, 7, 5, 4, 7,5, 6, x, 8 and 7. Then, the value of x for which, the mode of the above data will be 7, is, (a) 5, (b) 6, (c) 8, (d) 7, 37. A set of data consists of six numbers: 7, 8, 8, 9, 9 and x, The difference between the modes when x = 9 and x = 8 is, (a) 4, (b) 1, (c) 2, (d) 3, 38. For a frequency distribution, mean, median and mode are connected by the, relation:, (a) Mode = 3 Median – 2 Mean, (b) Mode = 3 Median + 2 Mean, (c) Mode = 3 Mean – 2 Median, (d) Mode = 2 Median – 3 Mean, 39. Median of the following observations, arranged in an ascending order is 22., 8, 11, 13, 15, x + 1, x + 3, 30, 35, 40, 43, Then, the value of x is, (a) 16, (b) 18, (c) 19, d) 20, 40. For which set of data does the median equal the mode?, b) 3, 3, 4, 5, 6, (a) 3, 3, 4, 5, (с) 3, 3, 4, d) 3, 4, 5, 6,, 41. A grouped frequency distribution table with classes of equal sizes using, 105-120 (120 not included) as one of the class interval is constructed for the, following data:, 125, 126, 140, 98, 128, 78, 108, 67, 87, 149, 102, 136, 145, 112, 103, 84, 123, 130, 120, 89, 103, 6., 96, 65, The number of classes in the distribution will be, (a) 7, (b) 6, (c) 5, (d) 4, 42. In the graph given alongside,, the number of students who, scored 60 or more marks is, (a) 19, (b) 20, (c) 22, 7, |6, (d) 21, 3, 10 20 30 40 50 60 70 80 90 100, Marks, Number of students