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Page 1: Kumpulan soal statistik dalam Bahasa Inggris

COLLECTION OF STATISTICAL PROBLEMS

Page 2: Kumpulan soal statistik dalam Bahasa Inggris

TOPIC IDistribusi Frekuensi

1. 15, 10, 23, 18, 17, 25, 25, 19, 8, 6From data above arrange the numbers into an array, find the highest value, lowest value and the range one

2. 71, 80, 36, 82, 75, 92, 49, 83, 71, 74, 94, 49, 74, 75, 68, 83, 75, 75, 98, 73, 79, 82, 45, 95, 86, 71, 96, 87, 81, 38, 72, 88, 69, 54, 66, 93, 81, 93, 72, 94, 39, 81, 94, 78, 84, 57, 85, 77, 64, 86

From the following data determine the number of classs, length of class, and make the frequency distribution table

Question for no. 3, 4, 5

3 55, 60, 73, 68, 57, 55, 65, 89, 98, 96, 78, 65, 61, 74, 51, 55, 57, 56, 84, 56, 63, 65, 77, 83, 82, 79, 90, 94, 101, 97, 95, 90, 91, 67, 91, 55, 74, 100, 105, 68, 70, 110, 80, 70, 67, 64, 82, 107, 80, 99. Find the highest value, lowest value, range

4. Determine the number of classes, the length of class and make the frequency distribution table

5. Make more than table and less than table

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Math test score of 100 students: 80 78 67 76 82 78 86 65 66 77 83 81 70 80 70 70 72 65 75 80 69 70 69 74 83 76 80 69 71 80 68 78 70 69 69 73 80 75 72 83 68 73 61 66 96 79 65 86 67 75 88 75 82 67 73 77 72 61 81 74 75 88 72 64 72 85 66 77 86 63 71 76 65 76 80 69 68 70 77 85 64 91 75 76 74 80 76 77 85 88 62 76 75 71 85 88 71 79 67 81 82 76 72 90 69 88 66 81 77 74 81 65 69 71 89 74 75 75 85 67

6. From the data above find the highest number, lowest number, range

7. Determine value of the five students with the highest ranking

8. Determine value of the five students with the lowest ranking

9. How many students are getting value 75 or more

10. How Many students are getting value 75 or less

11. Percentage of students who get score above 75

12. Percentage of students who get score below 75

13. Determine the number and length of class then

14. Make the frequency distribution table, more than and less than table

15. Draw a histogram and polygram grafic

Page 4: Kumpulan soal statistik dalam Bahasa Inggris

TOPIC IIMEASURES OF CENTRAL TENDENCY

• Mean

16. Find the mean value from these data 5, 3, 5, 6, 7, 9, 4, 5, 7, 7, 5, 4, 7, 6, 6

17. If the numbers 5, 6, 7, 8 has a frequency of respectively 2, 3, 4, 5. determine the mean!

18. The set of numbers 2, 2, 5, 7, 9, 10, 12 and each number has a mode 9. calculate the mean

19. The final value of a student for the course of mathematics, physics, English, and health sciences, respectively 82, 86, 90, 70. determine the mean values

20. Of 100 numbers, 20 of whom are numbers 4, 40 numbers 5, 30 number 6, while the remainder is the number 7. find the mean of these numbers

21. In a company that employs 80 employees, 60 of them earn $ 10.00 per hour while the remaining 20 to get $ 13.00 per hour. calculate the mean

22. Exam scores of 5 students who were sampled from a population is 80, 80, 75, 95, 100. determine the average test score is the fifth student!

23. There are 7 employees with wages per month each (in million dollars) is as follows 20, 80, 75, 60,50,85, and 45. What is the median?

24. A student has gotten the following grades on his tests: 87, 95, 76, and 88. He wants an 85 or better overall. What is the minimum grade he must get on the last test in order to achieve that average?

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25. Data accounting exam results of 25 students of STIMA Kosgoro as follows: 79 63 72 82 74 91 45 83 71 50 68 73 78 77 96 36 42 67 51 88 67 67 48 41 57 Calculate the mean value!

26. Determine the mean value of data processing tasks of the Mathematics 40 students of class XI below.

27. A student of the school exams and the times and the average value is 80. What value

should be obtained by the student so that its average value increases to 82?

28. The mean annual salary paid to all workers of a company is $ 36,000. As for the mean annual salary paid to workers MEN and women, respectively, amounting to $ 34,000 and $ 40,000. specify the presentation of men and women workers at the company's

29. Three people teaching economic subjects reported a mean test scores by 79, 74 and 82 for the classes they teach, each consisting of 32, 25 and 17 students. determine the mean value

for all classes

30. The marks of seven students in a mathematics test with a maximum possible mark of 20 are given below: 15     13     18     16     14     17     12 . Find the mean of this set of data values.

D F

30 – 3940 – 4950 – 5960 – 6970 – 7980 – 8990 - 100

13

114321329

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Median

31. What is the median of the numbers 4, 2, 11, 6, 2 ?

32. Compute the median of the following set of numbers 5, 8, 7, 4, 4, 6, 9, 7, 6, 5

33. Find the median for each of the following data (a) 7, 4, 10, 9, 15, 12, 7, 9, 7, 8 and (b) 8, 11, 4, 3, 5, 10, 6, 4, 10, 8, 12, 6, 5, 7, 6

34. What is the median of the numbers 75, 83, 69, 56, 71, 80, 65, 67, 77 and 44 ?

35. 79 63 72 82 74 91 45 83 71 50 arrange the data into an array and find the median value 36. Find the median the data of following frequency distribution table

37. Find the median of the values data from three students besides

38. 15, 10, 23, 18, 17, 25, 25, 19, 8, 6 arrange the data into an array and find the median value

39. Find the median for the English lessons of 15 students the following 77, 81, 88, 76, 76, 65, 74, 81, 75, 69, 70, 69, 81, 87, 68

D 15 - 19 20 - 24 25 - 29 30 - 34 35 - 39

F 5 7 15 10 13

Eko Mat B.Indo Bi.Ing0

20406080

100

ArisBettyCharlie

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40. Median of grouped data below is

41. Find median of the data below

42. Number of ATM transactions per day were recorded at 15 locations in a large city is 35, 49, 225, 50, 30, 65, 40, 55, 52, 76, 48, 325, 47, 32 and 60

43. A booklet has 12 pages with the following numbers of words: 271, 354, 296, 301, 333, 326, 285, 298, 327, 316, 287 and 314

44. The marks of nine students in a geography test that had a maximum possible mark of 50 are given below:   47     35     37     32     38     39     36     34     35. Find the median of

this set of data values.

45. 10 measurements made on the diameter of a cylinder produces the following data 3.88, 3.92, 3.97, 4.02, 3.95, 4.03, 3.92, 3.98, 4.00 and 4. 06. what is the median?

Value 87 79 65 81Frequency 4 5 6 7

Class F

16 – 23 10

24 – 31 17

32 – 39 7

40 – 47 5

48 – 55 8

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• Modus

46. Find the mode of: 9, 3, 3, 44, 17 , 17, 44, 15, 15, 15, 27, 40, 8, 9, 15

47. The number of points scored in a series of football games is listed below. 7,  13,  18,  24,  9,  3,  18. Which score occurred most often?

48. The following is the number of problems that Ms. Matty assigned for homework on 10 different days: 8,  11,  9,  14,  9,  15,  18,  6,  9,  10. What is the mode?

49. In a crash test, 11 cars were tested to determine what impact speed was required to obtain minimal bumper damage. Find the mode of the speeds given in miles per hour below. 24,  15,  18,  20,  18,  22,  24,  26,  18,  26,  24

50. A marathon race was completed by 5 participants. What is the mode of these times given in hours?   2.7 hr,  8.3 hr,  3.5 hr,  5.1 hr,  4.9 hr

51. On a cold winter day in January, the temperature for 9 North American cities is recorded in Fahrenheit: -8,  0,  -3,  4,  12,  0,  5,  -1,  0. What is the mode of these temperatures?

52. The test scores of 9 seventh grade students are listed below. Find the mode. 82,  92,  75 ,  91,  92,  89,  95,  100,  86

53. The typing speeds of 12 secretaries are recorded below (in words per minute). Find the mode. 35,  43,  39,  46,  43,  47,  38,  51,  43,  38,  40,  45

54. The manager of a video shop recorded the number of blank tapes sold per day in 2 weeks (below). 132,  121,  119,  116,  130,  119,  131,  117,  119,  135,  119,  129,  119,  134 . What is the mode?

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55. Ten earthquakes were measured using the Richter scale and their magnitudes are:7.0,  6.2,  7.7,  8.0,  6.4,  7.2,  5.4,  6.6,  7.0,  5.9. Find the mode.

56. Eleven daily temperatures for Juneau, Alaska are listed below, in degrees Fahrenheit. Which of the following statements is true? -21,  0,  +2,  -15,  0,  +5,  -18,  +7,  0,  -32,  +21

- There is no mode.- The mode is 0.- The mode is -21.- The data set is bimodal.

57. Consider the following set of height values for a fifth-grade class below. Find the mode.

58. Find the mode of the following integers: -18,  -13,  0,  +16,  +3,  -15,  0,  +11,  -14,  0,  +12

59. The grade point averages of 10 students are listed below. Find the mode grade point average.

3.15,  3.62,  2.54,  2.81,  3.97,  2.81,  1.93,  2.63,  2.50,  2.81

60.

Find the mode of grouped data above is?

100 - 119 120 - 139 140 - 159 160 - 1790

5

10

15

20

25

10

22

12

5

D 60 - 62 63 - 65 66 - 68 69 - 71 72 - 74

F 10 25 32 15 18 100

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Quartile, Decile and Percentile

61. A class off 22 students receives the following scores on an exam: 50, 50, 52, 58, 58, 61, 64, 64, 67, 68, 72, 74, 76, 78, 78, 79, 83, 85, 92, 92, 96, 98

What is the first and third quartile?What is the second decile and the fourth decile?What is the 15th percentile?

62. Range of numbers:13 13 13 20 26 27 31 34 34 34 35 35 36 37 3841 41 41 45 47 47 47 50 51 53 54 56 62 67 82What is the second and third quartile?What is the fifth decile and the eighth decile?What is the 67th percentile?

63. What is the 5th and 8th quartile? What is the 8th decil?What is the 50th percentile?

30 - 41 42 - 53 54 - 65 66 - 77 78 - 89 90 - 101

02468

10121416

F

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64.

- Find the first, second and the third quartile - Find the first, fourth and the eighth decile - Find the 20th, 40th, 60th percentile

65. - What is the fourth and sixth quartile - What is the eighth and ninth decile - What is the 25th, 45th and 50th percentile

No Skill No Skill No Skill 1 50 21 55 41 87 2 45 22 55 42 90 3 35 23 55 43 91 4 55 24 65 44 55 5 55 25 78 45 55 6 55 26 78 46 55 7 65 27 76 47 65 8 78 28 75 48 78 9 78 29 74 49 78

10 76 30 67 50 76 11 75 31 68 51 75 12 74 32 67 52 74 13 67 33 56 53 67 14 68 34 47 54 68 15 67 35 80 55 67 16 56 36 87 56 56 17 47 37 55 57 47 18 80 38 67 58 80 19 87 39 68 59 87 20 86 40 66 60 96

D 50 - 69 70 - 89 80 - 99 100 - 119 120 - 139

F 15 12 25 19 9

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• Variance and Standar Deviation

66. Find out the Variance and Standar Deviation from data of table below about measured the heights of mitha’s dogs (in millimeters)

67. Find out the Variance and Standar deviation from data below

D F

40 – 49 15

50 – 59 35

60 – 69 10

70 – 79 16

80 - 89 24

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68. The Jaeger family drove through 6 midwestern states on their summer vacation. Gasoline prices varied from state to state: $1.79,  $1.61,  $1.96,  $2.09,  $1.84,  $1.75. What is the range?

69. Ms. Kaiser listed 9 integers on the blackboard. What is the range of these integers?14,  -12,  7,  0,  -5,  -8,  17,  -11,  19

70. A marathon race was completed by 5 participants are 2.7 hr,  8.3 hr,  3.5 hr,  5.1 hr,  4.9 hr . What is the range of times given in hours above?

71. Find out the range of these distances run by 6 marathon runners: 10 km,  15 km,  12 km,  14 km,  8 km,  16 km

72. Find the range of these quiz scores: 93,  79,  83,  89,  90,  71,  85

73. Find the range of these race times given in seconds: 7.3 s,  8.4 s,  8.0 s,  7.5 s,  9.4 s,  8.7 s,  9.1 s 74. Employees at a retail store are paid the hourly wages listed below. What is the range of these hourly wages? $7.50,  $9.25,  $8.75,  $9.50,  $7.25,  $8.50

75. In a game, points were won and lost, represented by integers. What is the range of points given beside? -14,  +21,  -17,  +25,  0,  -19,  +11,  -20,  +18

76. The weights of 9 students, measured in pounds, are recorded below. Find out the mean weight. 135,  120,  116,  119,  121,  125,  135,  131,  123

77. The mean price of 5 items is $7.00. The prices of the first four items are $6.50,  $8.00,  $5.50  and $6.00. How much does the fifth item cost?

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78. Find out the mode of the following test scores: 89,  78,  91,  82,  75,  89,  84,  95,  89,  93

79. The mean of a set of data is 174.25 and the sum of the data is 1,394. How many numbers are in the set?

80. The grade point averages of 10 students are listed below. Find the median grade point average. 3.15,  3.62,  2.54,  2.81,  3.97,  1.85,  1.93,  2.63,  2.50,  2.80

81. Find out the mean driving speed for 6 different cars on the same highway. 66 mph,  57 mph,  71 mph,  54 mph,  69 mph,  58 mph

82. Find out the mean swimming time rounded to the nearest tenth: 2.6 min, 7.2 min, 3.5 min, 9.8 min, 2.5 min

83. Find out the mean of the whole numbers: 1,  8,  7,  6,  8,  3,  2,  5,  4,  5

84. 5.3,  5.5,  2.2,  4.8,  3.2. Find out the mean

85. Find out the mean rounded to the nearest tenth: 0.34,  0.12,  0.48,  0.56,  0.71,  0.8,  0.65,  0.82

86. Employees at a retail store are paid the hourly wages listed below. What is the mean hourly wage?$7.50,  $9.25,  $8.75,  $9.50,  $7.25,  $8.75

87. What is the mean test score? 83,  71,  91,  79,  87,  80,  95,  79,  91,  85,  94,  73

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88. Laura's math test grades are 87,  93,  89  and 85. What grade must she get on the fifth test in order to get a mean of 90 for the term?

89. A small company has a limited budget for salaries. It can afford to pay an average of $35,000 a year to its employees. If the first 5 employees are paid: $37,000,  $38,000,  $33,000,  $39,000   and $29,000, then how much money can they pay the sixth employee without exceeding their budget?

90. During the first marking period, Nicole's math quiz scores were 90, 92, 93, 88, 95, 88, 97, 87, and 98. What was the median quiz score?

91. Seven teenagers receive the allowances listed below. What is the median allowance?$15,  $10,  $12,  $18,  $14,  $15,  $8

92. The annual snowfall in inches for New York City for the last 9 years is listed below. Find the median snowfall.20.5 in,  26.1 in,  32.5 in,  18.9 in,  33.4 in,  29.7 in,  19.8 in,  25.6 in,  34.3 in

93. Find the mean, median, mode, and range for the following list of values:13, 18, 13, 14, 13, 16, 14, 21, 13

94. Quartile deviation from the following data is 6, 7, 7, 8, 3, 5, 6, 3, 9, 8

95. For 4 consecutive years, a homeowner buy oil for the furnace hearth at a price of $ 0.80 each, 0.90, 1.05, 1.25 per gallon. what is the mean price and determine the median

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96. Find out the mean, median and mode for each set of numbers below: (a) 7, 4, 10, 9, 15, 12, 7, 9, 7 (b) 8, 11, 4, 3, 2, 5, 10, 6, 4 1, 10, 8, 12, 6, 5, 7

97.

a. What is the rangeb. What is the mean, median and modec. Find out the second and the third quartiled. Find out the ninth decilee. Find out the 25th, 35th and 40th percentilef. Determine the Variance and Standar Deviation

Time to Watch

(per minute)

Number of Students

300 – 339 14

400 – 499 46

500 – 599 58

600 – 699 76

700 – 799 68

800 – 899 62

900 - 999 48

1000 – 1099 22

1100 - 1199 6

Page 17: Kumpulan soal statistik dalam Bahasa Inggris

98. The annual mortality data in the United States (engineering)

From the data above - find out the mean of mortality value (2003, 2006, 2009)- find out the median and mode (2003, 2006, 2009)- find out the third quartile (2003), the fourth decile (2006) and 20th percentile (2009)- find out the Variance and Standar Deviation (2003)

99.

- Find out the mean, median and mode from the data above- Find out the Q2, 6th decile, 15th

1-4 5-14 15-24 25-34 35-44 45-54 55-64 65-74 75-84 85+0

50

100

150

200

250

300

200320062009

D 30 - 39 40 - 49 50 - 59 60 - 69 70 - 79 80 - 89 90 - 100

F 9 32 43 21 11 3 1 120

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100.

Find out the mean, median and mode of wage value

101.

Find out the Second Quartile, 7th decile and 25th percentile

$250 -269 $270 - 289 $290 -309 $310 - 32905

101520253035

Employee Wage Data of PT . Internusa2000

118 - 126 127 - 135 136 - 144 145 - 153 154 - 162 163 - 171 172 - 1800

2

4

6

8

10

12

14Weight per pound

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102.

Find out the Variance and Standar Deviation from data above

D Tab. Freq F

118 – 122 | 1

123 – 127 || 2

128 – 132 || 2

133 – 137 |||| 4

138 – 142 |||| | 6

143 – 147 |||| ||| 8

148 – 152 |||| 5

153 – 157 |||| 4

158 - 162 || 2

163 – 167 ||| 3

168 - 172 || 2

173 - 177 | 1

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Thank you