Convert each of the following pairs into percentages and find out which is more? (i) 25 marks out of 30, 35 marks out of 40. (ii) 100 runs scored off 110 balls, 50 runs scored off 55 balls.

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

A smooth horizontal fixed pipe is bent in the form of a vertical circle of radius 20m as shown in figure. A small glass ball is shown in horizontal portion of pipe at speed 30m//s as shown from end A . ( Take g=10m//s^(2)) Which of the following statement is // are correct : (i) ball will not come out from eend B . (ii) ball will come out from end B . (iii) At point D speed of ball will be just more than zero. (iv) At point E and C the ball will have same speed.

If Ramesh score 50 marks in English and 60 marks in Math. Find out the average marks he secure.

A class consists of 50 students out of which 30 are girls. The mean of marks scored by girls in a test is 73 (out of 100) and that of boys is 71. Determine the mean score of the whole class.

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?

(A graph on “performance”)The given graph (Fig 15.7) represents the total runs scored by two batsmen A and B, during each of the ten different matches in the year 2007. Study the graph and answer the following questions.(i) What information is given on the two axes?(ii) Which line shows the runs scored by batsman A?(iii) Were the run scored by them same in any match in 2007? If so, in which match?(iv) Among the two batsmen, who is steadier? How do you judge it?

Find the mean marks of students from the following cumulative frequency distribution: marks No. of Students Marks No. of Students 0 and above, 10 and above, 20 and above, 30 and above, 40 and above, 50 and above, 60 and above, 70 and above, 80 and above, 90 and above, 100 and above, 80, 77, 72, 65, 55, 43, 28, 16, 10, 8, 0

An insurance company selected 2000 drivers at random in a particular city to find a relationship between age and accidents. The obtained are given in the following table: Age of Drivers (in years) Accidents in one year 0 1 2 3 over 3 18-29 30-50 above 50 440 505 360 160 125 45 110 60 35 61 22 15 35 18 9 Find the probability of the following events for a driver chosen at random from the life city: i) being 18-29 years of age and having exactly 3 accidents in one year. ii) being 30-50 years of age and having one or more accidents in a year. iii) having no accidents in one year.

A boy scored the following marks in various class tests during a term, each test being marked out of 20. 15,17,16,7,10,12,14,16,19,12 and 16. (i) What are his modal marks. (ii) What are his median marks? (iii) What are his total marks? (iv) What are his mean marks?