A company manufactures car batteries of a particular type. The lives (in years) of 40 such batteries were recorded as follows:

2.6 3.0 3.7 3.2 2.2 4.1 3.5 4.5

3.5 2.3 3.2 3.4 3.8 3.2 4.6 3.7

2.5 4.4 3.4 3.3 2.9 3.0 4.3 2.8

3.5 3.2 3.9 3.2 3.2 3.1 3.7 3.4

4.6 3.8 3.2 2.6 3.5 4.2 2.9 3.6

Construct a grouped frequency distribution table for this data, using class intervals of size 0.5 starting from the interval 2–2.5.

The relative humidity (in %) of a certain city of month of 30 days was as follows:

98 98 99 90 86
95 92 96 94 95
89 92 97 93 92
95 97 93 95 97
96 92 84 90 95
98 97 96 92 89
Construct a grouped frequency distribution table with classes 84–88, 88–92, etc.

The number of books in different shelves of a library are as follows: 25, 27, 32, 24, 28,

34, 20, 25, 28, 30,
20, 35, 25, 27, 31,
37, 22, 24, 27, 28,
27, 20, 36, 21, 20,
29, 30, 29, 36, 30
Prepare a frequency distribution table with class size 4 for the data given above taking the first interval as 18–22. (22 not included).

The blood group of 20 students are recorded as follows:
A, B, O, O, AB, O, A, O, B, A, O, AB, O, A, A, O. B, A, B, O
Represent this data in the form of a frequency distribution table. Which is the rarest blood group?

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. 

A part of the frequency table is given below:

Rewrite the table with class limits.

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.

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:

(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?