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 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?

The marks of 24 candidates in the subject mathematics are given below : {:45, 48, 15, 23 ,30 ,35, 40, 11,29, 0 ,3 ,12, 48 ,18 ,30,15 ,30, 1, 1, 42, 23, 2 ,3 ,44:} The maximum marks are 50. Make a frequency distribution taking class intervals 0 - 10, 10 - 20, ...............

The water bills (in rupees) of 32 houses in a certain street for the period 1.1.98 to 31.3.98 are given below: 56,43,32,38,56,24,68,85,52,47,35,58,63,74,27,84,69,35,44,75,55,30,54,65 ,45,67,95,72, 43,65,35,59 Tabulate the data and present the data as a cumulative frequency table using 70-79 as one of the class intervals.

The following data gives the weights of 30 persons (in kg) 70.0,69.4,49.4,64.5,59.4,72.4,47.5,48.8,62.3,64.2,66.8,70.3,71.3,56.3,52.7,66.6,59.9,64.7,44.6,60.3,50.3,54.3,62.3,56.3,45.0,45.7,49.8,60.5,67.8,50.1, (i) Construct a frequency distribution such that the last class is 72-76. (ii) State the upper class limits of last three class intervals. (iii) State the maximum weight that can be included in the fourth class interval. (iv) State the class mark of each of the classes. (v) Find the range of the given weights. (vi) If 60kg is the weight of a person then in which class interval, it will be taken.

Prepare a frequency table of the following scores obtained by 50 students in a test: 42,51,21,42,37,37,42,49,38,52,7,33,17 44,39,7,14,27,39,42,42,62,37,39,67,51, 53,53,59,41,29,38,27,31,54,19,53,51,22 61,42,39,59,47,33,34,16,37,57,43

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 ?

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?

Given below are the marks obtained by 30 students of a class, Using the class intervals of equal class size in which one class interval is 30-40 (excluding 40), construct a frequency table. {:(42,74,39,48,42,80,35,38,52,81),(31,72,65,58,77,82,79,65,47,30),(64,56,39,48,60,63,72,50,46,35):}

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 grouped frequency distribution table with classes of equal sizes using 63-72 (72 included) as one of the class is constructed for the following data 30,32,45,54,74,78,108,112,66,66,76,88, 40, 14, 20,15,35,44,66,75,84,95,96,102,110,88,74,112,14,34,44. The number of classes in the distribution will be