A Class of 40 students is divided into four groups named as A, B, C and D. Group-wise percentage of marks scored by them are given below in the table.
`{:(A,B,C,D),(20,42,10,21),(30,51,25,69),(40,45,85,70),(25,58,73,86),(22,53,98,53),(45,64,43,68),(65,72,64,99):}`
By using the coefficient of range find which of the group has shown good performance.

Life (in hour) of 10 bulbs from each of four different companies A, B, C and D are given below in the table. {:(A,B,C,D),(120,700,950,530),(1600,502,330,650),(280,1430,1200,720),(420,625,500,550),(800,780,445,748),(770,335,1260,570),(270,224,375,635),(455,1124,1130,804),(150,473,185,500):} By using the coefficient of range find which company has shown the best consistency in its quality?

The marks scored by 40 students of class VIII in mathematics are given below: 81,55,68,79,85,43,29,68,54,73,47,35,72,64,95,44,50,77,64, 35,79,52,45,54,70,83,62,64,72,92,84,76,63,43,54,38,73,68,52,54. Prepare a frequency distribution with class size of 10 marks.

The marks scored by 40 students of class VIII in mathematics are given below: 81,55,68,79,85,43,29,68,54,73,47,35,72,64,95,44,50,77,64, 35,79,52,45,54,70,83,62,64,72,92,84,76,63,43,54,38,73,68,52,54. Prepare a frequency distribution with class size of 10 marks.

The marks of ten intelligent students in two subjects as given below. {:("Students","English","Physics"),(A,88,74),(B,74,66),(C,80,72),(D,76,90),(E,40,54),(F,65,50),(G,68,54),(H,80,43),(I,40,30),(J,43,38):} Calculate the rank correlation coefficient and interpret your result.

A psychologist selected a random sample of 20 students. He grouped them in 10 pairs so that the students in each pair have nearly equal scores in an intelligence test. In each pair, one student was taught by method A and the other by method B and examined after the course. The marks obtained by them after the course are as follows. {:("Pairs","Method A","Method B"),(1,34,38),(2,36,43),(3,28,39),(4,34,45),(5,40,43),(6,30,50),(7,34,52),(8,28,39),(9,32,40),(10,42,42):} Calculate spearman's Rank correlation

The following are the marks of 60 students in Mathematics 16,13,5,80,86,7,51,24,56,70,19,16,36,34,42,34,35,73,55,75,52,72,97,74,45,62, 68,86,35,81,75,55,26,95,31,7,78, 92,62,52,56,15,63,25,54,44,47,27,17,4,30 Construct a grouped distribution table with width 10 each of the class starting from 0-9.

The marks scored by 40 students of class IX in mathematics are given below: 81, 56, 68, 79, 85, 13, 29, 68, 54, 73, 47, 35, 72, 64, 95, 44, 50, 77, 64, 35, 79, 52, 45, 54, 70, 83, 62, 64, 72, 92, 84, 76, 63, 43, 54, 38, 73, 68, 52, 54. Prepare a frequency distribution with class size of 10 marks.

Construct a frequency table for the following weights (in gm) of 35 mangoes using the equal class intervals, one of them is 40-45 (45 not included): 30,40,45,32,43,50,55,62,70,70,61,62,53,52,50,42,35,37,53, 55,65,70,73,74,45,46,58,59,60,62,74,34,35,70,68 What is the class marks of the class interval 40-45? What is the range of the above weights? How many classes are there?

Construct a frequency table for the following weights (in gm) of 35 mangoes using the equal class intervals, one of them is 40-45 (45 not included): 30,40,45,32,43,50,55,62,70,70,61,62,53,52,50,42,35,37,53, 55,65,70,73,74,45,46,58,59,60,62,74,34,35,70,68 What is the class marks of the class interval 40-45? What is the range of the above weights? How many classes are there?