A part of the frequency table is given below:

Class marks of weights (in kg)

No. of students

33

9

38

5

43

14

Rewrite the table with class limits.


Class intervals

No. of students

31.5–35.5

9

35.5–40.5

5

40.5-45.5

14

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The marks obtained out of 75 by 30 students of a class in an examination are given below:

42, 21, 50, 37,42, 37, 38, 42, 49, 52, 38, 53, 57, 47, 29, 59, 61, 33, 17, 17, 39, 44, 42, 39, 14, 7, 27, 19, 54, 51
Prepare a frequency distribution table in which the size of class intervals is the same and one class interval is 0–10.


Class

Frequency

0–10

1

10–20

4

20–30

3

30–40

7

40–50

7

50–60

7

60–70

1

Total

30

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The weights (in grams) of 30 apples picked at random from a basket of oranges are given below:

45, 55, 30, 110,75, 100, 40, 60, 65, 40, 100, 75, 70, 60, 70, 70, 60, 95, 85, 80, 35, 45,40, 50, 60, 65, 55, 45, 30, 90

Prepare a frequency distribution table in which the size of class intervals is the same and one class interval is 30–40.


Weight of oranges (in grams)

Frequency

30–40

3

40–50

6

50–60

3

60–70

6

70–80

5

80–90

2

90–100

2

100–110

2

110–120

1

Total

30

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The distance in km of 32 engineers from their residence to their place of work were found as follows:

4, 6, 10,12, 8, 13, 12, 9, 11, 16, 10, 18, 15, 3, 8, 4,
10, 8, 7, 9, 5, 15, 18, 3, 11, 15, 2, 10, 14, 7, 6, 12

Construct a grouped frequency distribution table with class-size for the data given above taking the first interval as 0–5. 


Grouped Frequency Distribution Table


Grouped Frequency Distribution Table
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In a specific year, the distribution of the ages (in years) of primary teachers of a district is given:

Age (in years)

Number of teachers

15–20

10

20–25

30

25–30

50

30–35

50

35–40

30

40–45

6

45–50

4

(i) What is the lower limit of the first class interval?
(ii) What are the limits of the fourth class interval?
(iii) What is the class mark of the class 45–50?


(i) 15 (ii) 30–35 ((iii) 47.5
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