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.

The income and expenditure for 5 years of a family is given in the following data: years 1995-96 1996-97 1997-98 1998-99 1999-00 Income (Rs. Thousands) 100 140 150 170 210 Expenditure (Rs. in thousands) 80 130 145 160 190 Represent the above data by a bar graph.

The following table shows the interest paid by a company (in lakhs): Year, 1995-96, 1996-97, 1997-98, 1998-99, 1999-2000 Interest (in lakhs of rupees), 20, 25, 15, 18, 30 Draw the bar graph to represent the above information.

The following table shows the interest paid by a company (in lakhs): Year, 1995-96, 1996-97, 1997-98, 1998-99, 1999-2000 Interest (in lakhs of rupees), 20, 25, 15, 18, 30 Draw the bar graph to represent the above information.

The following data gives the amount of manure (in thousand tonnes) manufactured by a company during some years: year 1992 1993 1994 1995 1996 1997 Manure (in thousand tonnes) 15 35 45 30 40 20 (i) Represent the above data with the help of a bar graph. (ii) Indicate with the help of the bar graph the year in which the amount of manufactured by the company was maximum. (iii) Choose the correct alternative: The consecutive years during which there was maximum decrease in manure production are: (a 1994 and 1995 (b) 1992 and 1993(c) 1996 and 1997 (d) 1995 and 1996

Consider the marks, out of 100, obtained by 51 students of a class in a test, given in Table 14.9. M a r k sN u m b e r\ o f\ S t u d e n t s0-10 5 10-20 10 20-30 4 30-40 6 40-50 7 50-60 3 60-70 2 70-80 2 80-90 3 90-100 9Tot a l 51 Draw a frequency polygon corresponding to this frequency distribution table.

The relative humidity (in %) of a certain city for a month of 30 days was as follows: 98.1 98.6 99.2 90.3 86.5 95.3 92.9 96.3 94.2 95.1 89.2 92.3 97.1 93.5 92.7 95.1 97.2 93.3 95.2 97.3 96.2 92.1 84.9 90.2 95.7 98.3 97.3 96.1 92.1 89 Construct a grouped frequency distribution table with classes 84 - 86, 86 - 88, etc.

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.

For his 18th birthday in February Peter plants to turn a hut in the garden of his parents into a swimming pool with an artifical beach. In order to estimate the consts for heating the water and the house , peter obtains the data for the natural gas combustion and its price. What is the total energy (in MJ) needed for Peter's "winter swimming pool" calculated in 1.3 and 1.4? How much natural gas will he need, if the gas heater has an efficiency of 90.0% ? What are the different costs for the use of either natural gas or electricity ? Use the values given by PUC for your calculations and assume 100% efficiency for the electric heater. Table 1: Composition of natural gas {:("Chemical substance","mol fraction x",D_(1)H^(@)(KJ mol^(-1))^(-1),S^(@)(J mol^(-1)K^(-1))^(-1),C_(p)^(@)(J mol^(-1)K^(-1))^(-1)),(CO_(2(g)),0.0024,-393.5,213.6,37.1),(N_(2(g)) ,0.0134,0.0,191.6,29.1),(CH_(2(g)),0.9732,-74.6,186.3,35.7),(C_(2)H_(3 (g)),0.0110,-84.0,229.2,52.2),(H_(2)O_(g),-,-285.8,70.0,75.3),(H_(2)O_(g),-,-241.8,188.8,33.6),(H_(2)O_(g),-,0.0,205.2,29.4):} Equation J=E(A.Deltat)^(-1) =!! lambda "wall" . DeltaT. d^(-1) , where J= energy flow E along a temperature gradient (wall direction Z) par area A and time Deltat , d-wall thickness , lambda wall -heat conductivity , DeltaT - difference in temperature between the inside and the outside of the house.

The maximum temperatures (in degrees celcius) and relative humidity (in percent) for Delhi for the month of August 1998, as reported by Meteorological department, are given below. Construct a frequency table for each. Maximum temperatures (in degree celcius) 32.5, 30.5, 33.8, 31.0, 28.6, 33.9, 31.4, 34.4, 35.6, 37.3, 37.5, 36.7, 37.0, 36.3 ,36.9, 36.7 Relative humidity (in percent) 90,97,92,95,93,95,93,85,83,85,83,77,83,77,74,60,71,65,74, 80,87,82,81,76,61,63,58,58,56,57,54

The maximum temperature (in degrees celcius) and relative humidity (in percent) for Delhi for the month of August 1998, as reported by meteorological department, are given below. Construct a frequency table for each: Maximum temperatures (in degree celcius) 32.5, 30.5, 33.8, 31.0, 28.6, 33.9, 33.3, 32.4, 30.4, 32.6, 34.7, 34.9, 31.9, 35.2, 35.3, 35.5, 36.4, 36.9, 37.0, 34.4, 32.5, 31.4, 34.4, 35.6, 37.3, 37.5, 36.9, 37.0, 36.3, 36.9, 36.7 Relative humidity (in percent) 90,97,92,95,93,95,93,85,83,85,83,77,83,77,74,60,71,65,74,80,87,82,81,76,61,63,58,58,56,57,54