The following are the scores of two groups of class IV students in a test of reading ability. Scores Group A Group B 50-52 47-49 44-46 41-43 38-40 35-37 32-34 4 10 15 18 20 12 13 2 3 4 8 12 17 22 Total 92 68 Construct a frequency polygon for each of these two groups on the same axes.

Compare the modal ages of two groups of students appearing for an entrance test: Age (in years): 16-18 18-20 20-22 22-24 24-26 Group A: 50 78 46 28 23 Group B: 54 89 40 25 17

The marks scored by 55 students in a test are given below: Marks 0-5 5-10 10-15 15-20 20-25 25-30 30-35 No. of Students 2 6 13 17 11 4 2 Construct a cumulative frequency distribution.

Given below are the marks obtained by 40 students in an examination : 40 56 24 41 51 22 59 12 26 46 51 14 23 59 58 29 41 35 36 40 42 43 36 33 38 52 23 24 13 55 18 54 20 57 30 24 43 50 26 15 Taking class intervals 10-20, 20-30,. ...., 50-60 , construct a frequency table for the above distribution.

Following table shows the marks scored by a group of 90 students in a mathematics test of 100 marks. Marks 0-20 20-30 30-40 40-50 50-60 60-70 70-100 No. of Students: 7 10 10 20 20 15 8 Find the probability that marks scored by a student in the class is: at most 60 marks (ii) at least 60 marks (iii)not more than 50 marks

The distance (in km) of 40 engineers from their residence to their place of work were found as follows: "5 3 10 20 25 11 13 7 12 31 19 10 12 17 18 11 32 17 16 2 7 9 7 8 3 5 12 15 18 3 12 14 2 9 6 15 15 7 6 12" Construct a grouped frequency dist

Following are the marks obtained by 30 students in an examination : {:(15,20,8,9,10),(16,17,20,24,30),(44,47,38,36,40),(27,25,28,30,19),(7,11,21,31,41),(37,47,23,20,17):} Taking class intervals 0-10 , 10-20,............ ., 40-50, construct a frequency table.

The following table gives the frequency distribution of married women by age at marriage: Age (in years) Frequency Age (in years) Frequency 15-19 53 40-44 9 20-24 140 45-49 5 25-29 98 50-54 3 30-34 32 55-59 3 35-39 12 60 and above 2 Calculate the median and interpret the results

The following table gives the marks scored by 100 students in an entrance examination. Marks: 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80 No. of Students (Frequency): 4 10 16 22 20 18 8 2 Represent this data in the form of a histogram.

Given below are the marks obtained by 24 students in an examination : {:(18 17 16 24 25 19 41 22),(32 42 44 21 43 26 28 40),(29 30 37 27 49 27 34 31):} Taking class intervals 10 - 20, 20 - 30, ............... , 50 - 60, make a frequency table for the above distribution.

A teacher wanted to analysis the performance of two sections of students in a mathematics test of 100 marks. Looking performance, she found that a few students got under 20 marks and a few got 70 marks or above. So she decided to group them into intervals of varying sizes as follows : 0-20, 20-30, ....., 60-70, 70-100. Then she formed the following table : |{:("Marks"," Number of students"),(0-20," 7"),(20-30," 10"),(30-40," 10"),(40-50," 20"),(50-60," 20"),(60-70," 15"),(70-"above"," 8"),("Total"," 90"):}| (i) Find the probability that a student obtained less than 20% in the mathematics test. (ii) Find the probability that a student obtained marks 60 or above .