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

Construct a frequency distribution table for the following data, taking class-intervals 4-6, 6-8 , ............. 14-16 . 11.5, 6.3, 7.8, 9.2, 10.5, 4.5, 6, 8.3, 12.5, 15.8, 7.4, 5.3, 8.4, 15.2, 8.9, 9.8, 8.25, 6.5, 5.8, 10.5, 14.2, 15.3, 11.7, 9.9, 8.8, 6.6, 4.3, 4.7, 9.4, 10.1, 15.5, 14.4, 12.2, 7.7, 5.5 .

A company manufactures car batteries of a particular type. The lives (in years) of 40 such batteries were recorded as follows: 2.6 3.0 3.7 3.2 2.2 4.1 3.5 4.53.5 2.3 3.2 3.4 3.8 3.2 4.6 3.72.5 4.4 3.4 3.3 2.9 3.0 4.3 2.83.5 3.2 3.9 3.2 3.2 3.1 3.7 3.44.6 3.8 3.2 2.6 3.5 4.2 2.9 3.6 Construct a grouped frequency distribution table for this data, using class intervals of size 0.5 starting from the interval 2 - 2.5.

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.

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.

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 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.