First the rank correction coefficient of the following data :
`{:("Serles A " , 115, 109, 112, 87, 98, 120, 98, 100, 98, 118),("Series B ",75, 73, 85, 70, 76, 82, 65, 73, 68, 80):}`

The weights in grams of 50 oranges picked at random from a consignment are as follows: 131, 113, 82, 75, 204, 81, 84, 118, 104, 110, 80, 107, 111, 141, 136, 123, 90, 78, 90, 115, 110, 98, 106, 99, 107, 84, 76, 186, 82, 100, 109, 128, 115, 107, 115, 119, 93, 187, 139, 129, 130, 68, 195, 123, 125, 111, 92, 86, 70, 126

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 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 weights in grams of 50 oranges picked at random from a consignment are as follows: 131,113,82,75,204,81,84,118,104,110,80,107,111,141, 136,123,90,78,90,115,110,98,106,99,107,84,76,186,82, 100,109,128,115,107,115,119,93,187,139,129,130,68, 195,123,125,111,92,86,70,126 Form the grouped frequency table by dividing the variable range into intervals of equal width, each corresponding to 20gms in such a way that the mid-value of the first class corresponds to 70 gms.

100 plants each were planted in 100 schools during Van Mahotsava. After one month, the number of plants that survived were recorded as: 95 67 28 32 65 65 69 33 98 9676 42 32 38 42 40 40 69 95 9275 83 76 83 85 62 37 65 63 4289 65 73 81 49 52 64 76 83 9293 68 52 79 81 83 59 82 75 8286 90 44 62 31 36 38 42 39 8387 56 58 23 35 76 83 85 30 6869 83 86 43 45 39 83 75 66 8392 75 89 66 91 27 88 89 93 4253 69 90 55 66 49 52 83 34 36 Tabulate the given data in suitable groups using tally marks.

The results of pass percentage of Class X and XII in C.B.S.E. examination for 5 years are given in the following table: Year: 1994-95 1995-96 1996-97 1997-98 1998-99 X: 90 95 90 80 98 XII: 95 80 85 90 95 Draw bar graphs to represent the data.

Compute the median for each of the following data: (i) Marks No. of students (ii) Marks No. of students Less than 10 0 More than 150 0 Less then 30 10 More than 140 12 Less then 50 25 More than 130 27 Less then 70 43 More than 120 60 Less then 90 65 More than 110 105 Less then 110 87 More than 100 124 Less then 130 96 More than 90 141 Less then 150 100 More than 80 150

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 distances (in km) covered by 24 cars in 2 hours are given below: 125,140,128,108,96,149,136,112,84,123,130,120,103,89,65,103,145,97,102,87,67, 78,98,126 represent them as a cumulative frequency table using 60 as the lower limit of the first group and all the classes having the class size of 15.

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?