Ten students got the following percentages of marks in Mathematics and Physics:
`{:("Mathematics",56,64,75,85,85,87,91,95,97,98,),("Physics",89,90,86,74,78,66,56,74,86,90,):}`
Find the spearman's rank correlation coefficient for the above data.

The marks in Physics and Biology of 12 students in a public examination are as follows : {:("Physics",69,36,39,71,67,76,40,20,85,65,55,34),("Biology",33,52,71,25,79,22,83,81,24,35,46,64):} Calculate the coefficient of rank correlation. What conclusion can be made from the result ?

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.

The final marks in mathematics of 30 students are as follows:53, 61, 48, 60, 78, 68, 55, 100,67,90 75,88,77,37,84,58,60,48,62,56 44, 58, 52, 64, 98, 59, 70, 39, 50, 60 (i) Arrange these marks in the ascending order. 30 to 39 one group, 40 to 49 second group, etc. (ii) What is the highest score? (iii) What is the lowest score? (iv) What is the range?

The final marks in mathematics of 30 students are as follows: 53,61,48,60,78,68,55,100,67,90,75,88,77,37,84 58,60,48,62,56,44,58,52,64,98,59,70,39,50,60 Arrange these marks in the ascending order, 30 to 39 one group, 40 to 49 second group etc. Now answer the following: What is the highest score? What is the lowest score? What is the range? If 40 is the pass marks how many have failed? How many have scored 75 or more? Which observations between 50 and 60 have not actually appeared? How many have scored less than 50?

The following table shown the mean and standard deviation of the marks of Mathematics and Physics scored by the students in a school : The correlation coefficient between the given marks is 0.86 . Estimate the likely marks in Physics if the marks in Mathematics are 92 .

The marks obtained (out of 100) by 12 students in an examination are 74, 96, 87, 65, 99, 82, 76, 92, 66, 75, 85, 90 Find the median marks.

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 .

The marks (out of 100) obtained by a group of students in a science test are 85, 76,90, 85, 39, 48, 56, 95, 81 and 75. Find the:(i) Highest and the lowest marks obtained by the students.(ii) Range of the marks obtained.(iii) Mean marks obtained by the group.

The marks (out of 100) obtained by a group of students in a science test are 85, 76, 90, 85, 39, 48, 56, 95, 81 and 75. Find the: (i) Highest and the lowest marks obtained by the students. (ii) Range of the marks obtained. (iii) Mean marks obtain

The marks scored by 20 students in a test are given below: 54,42,68,56,62,71,78,51,72,53,44,58,47,64,41,57,89,53,87,57. Complete the following frequency table: Marks in class intervals, Tally marks, Frequency (No. of children 40-50 50-60 60-70 70-80 80-90, , What is the class interval in which the greatest frequency occurs?