1

The following pie chart represents the distribution of form two students who were selected to participate in sports activities. If there are 200 students who were selected, how many students participate in each activity?

 

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2

The masses of a group of students from Kilimani secondary school were recorded as shown in the following table:

Mass in kilograms

31 - 40

41 - 50

51 - 60

61 - 70

71 - 80

Frequency

2

5

3

9

1

(i)How many students are there in the group?

(ii)State the class interval that has the largest number of students.

(iii)Prepare a table showing the class boundaries and the corresponding cumulative frequencies.

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3

23. The masses of 40 students from the University of Dar es Salaam were recorded to the nearest kilogram as follows:

60

64

63

67

66

68

59

58

59

60

64

66

65

60

73

70

63

69

70

60

66

70

74

69

63

69

59

65

64

65

73

61

62

64

61

61

62

63

58

73

From the data given, construct a frequency distribution table taking equal class intervals 57 - 61, 62 -66, 67 - 71, … and determine the class interval with the highest frequency.

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4

24. The following table shows marks which were scored by Form One students in a mathematics test at Chilulumo Secondary school.

Marks%

40

45

50

55

60

65

70

Number of students

6

8

M

5

9

4

3

From the table, determine the value of M if the total number of students was 48, hence calculate the percentage of the students who scored at least 55 marks.

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5

The age of students selected o participate in a debate competition were recorded as follows

13

15

17

16

15

14

16

18

17

16

15

14

13

16

14

17

15

16

15

16

(i)Prepare a frequency table showing the ages of students and their corresponding frequencies

(ii)Draw a frequency polygon representing the given information

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6

The following table shows marks for a Form Two History monthly test:

Marks in %

25

35

40

50

60

65

70

75

80

No. of studs.

2

3

5

7

11

7

4

2

1

(a)What is the lowest mark?

(b)What is he highest mark?

(c)Which mark is scored by the greatest number of students?

(d)If 60% is the pass mark in the test, how many students failed? 

(e) How many students are in Form Two class 

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7

The marks of 61 students are represented int he following table:

Mark in %

30

35

45

50

60

75

80

85

90

Number of students

3

5

7

10

18

9

4

3

2

From the table answer the following questions:

(i)Which mark was scored by few students?

(ii)What was the highest mark?

(iii)If 50% was the pass mark in the examination, how many students passed the examination?

(iv)Which mark was scored by many students?

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8

A survey was done among students in a certain school in order to find the most popular subject. In this survey each student voted once and the results were as follows.

Subject

Maths

Englis

Biology

 History

 Geograph

Physics

NQ of Pupils

50

80h 

120

40

80y 

30

Show this information in a pie chart.

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9

The grades on a Mathematics test taken by 100 students arc as shown in the following distribution table: 

Marks 50- 59 60- 69 70-79 80- 89 90- 99
Number of students 3 21 32 27 17
  1. What is the size of each class interval of this distribution? 
  2. Which class interval had the highest number of students? 
  3. Find the class mark of the highest class interval. 
  4. Find the number of students who passed if the pass mark was 70. 
  5. Use the condition given in 10 (b) (iv), find the number of students who failed the test. 
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