A company manufactures car batteries of particular type. The life (in years) of 40 batteries was recorded as follows:

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

In the following grouped frequency distribution table class marks are given. Construct class intervals of the data. (Exclusive class intervals)

The relative humidity (in %) of a certain City for a September month of 30 days was as follows: (i) Construct a grouped frequency distribution table with classes 84-86, 86,-88 etc. (ii) What is the range of the data?

Construct class intervals and frequencies for the following distribution table. Also draw the ogive curves for the same.

The blood group of 36 students of IX class are recorded as follows Represent the data in the form of frequency distribution table. Which is the most common and which is the rarest blood group among these students?

Class intervals in a grouped frequency distribution are given as 5 – 12, 13 – 20, 21 – 28, 29 – 36, 37 – 44. Write the next two class intervals. What is the length of each class interval?

Number of students in 30 class rooms in a school are given below. Construct a frequency distribution table for the data with a exclusive class interval of 4 (students). {:(25,30,24,18,21,24,32,34,22,20,22),(32,40,28,30,22,26,31,34,15,38,28),(20,16,15,20,24,30,25,18, , ,):}

The following marks achieved by 30 candidates in mathematics of SSC examination held in the year 2010.45, 56, 75, 68, 35, 69, 98, 78, 89, 90, 70, 56, 59, 35, 46, 47, 13, 29, 32, 39,93, 84, 76, 79, 40, 54, 68, 69, 60, 59. Construct the frequency distribution table with the-class intervals, failed (0 – 34), third class (35 - 49), second class (50 - 60), first class (60 - 74) and distinction (75-100).

The marks obtained by 35 students in a test in statistics (out of 50) are as below. {:(35,1,15,35,45,23,31,40,21,13,15),(20,47,48,42,34,43,45,33,37,11,13),(27,18,12,37,39,38,16,13,18,5,41),(47,43, , , , , , , , ,):} Construct a frequency distribution table with equal class intervals, one of them being 10-20 (20 is not included).

The rear side of a truck is open and a box of 40 kg mass is placed 5 m away from the open end as shown in Figure. The coefficient of friction between the box the surface below it is 0.15. On a straight road The truck starts from rest and accelerates with 2 ms_(-2) . At what distance from the starting point does the box fall the truck? (Ignore the size of the box).