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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 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. 


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.


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?


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.


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