The following table gives the life time of 400 neon lamps: Life time (in hours 300-400 400-500 500-600 600-700 700-800 800-900 900-1000 No. of lamps: 14 56 60 86 74 62 48 A bulb is selected at random. Find the probability that the life time of the selected bulb is : (i)less than 400 (ii)between 300 to 800 hours (iii)at least 700 hours.

The following table gives the distribution of the life time of 400 neon lamps: Lite time: (in hours) Number of lamps 1500-2000 14 2000-2500 56 2500-3000 60 3000-3500 86 3500-4000 74 4000-4500 62 4500-5000 48 Find the median life.

The following table gives information regarding weekly income of labourer working at a dam site. {:("Income in (₹)",200-300,300-400,400-500,500-600,600-700),("No. of employees",150,160,130,180,120):} Calculate the (i) median (ii) lower quartile (iii) upper quartile (iv) 5th decile.

The following table gives the life times of 400 neon lamps: (i) Represent the given information with the help of histogram. (ii) How many lamps have a life time of more than 700 hours?

Find the mean deviation from the mean for the following data: Classes 0-100 100-200 200-300 300-400 400-500 500-600 600-700 700-800 Frequencies 4 8 9 10 7 5 4 3

A tyre manufacturing company kept a record of the distance covered before a tyre to be replaced. Following table shows the results of 1000 cases. Distance in km: Less tan 400 400 to 900 900 to 1400 More than 1400 Number of tyres: 210 325 385 80 If you buy a tyre of this company, what is the probability that: (i) it will need to be replaced before it has covered 400 km? (ii) it will last more than 900 km? (iii) it will need to be replaced after it has covered somewhere between 400 km and 1400 km? (iv) it will not need to be replaced at all? (v) it will need to be replaced?

80 bulbs are selected at random from a lot and their time (in hours) is recorded in the form of a frequency table given below One bulb is selected at random from the lot. The probability that its life is 1150 h , is

The median of the following data is 525. Find the values of x and y , if the total frequency is 100. Class i nterval 0-100 100-200 200-300 300-400 400-500 500-600 600-700 700-800 800-900 900-1000 Frequency 0 100 2 100 200 5 200 300 x 300 400 12 400 500 17 500 600 20 600 700 y 700 800 9 800 900 7 900 1000 4

A frequency distribution of the life times of 400 T.V. picture tubes tested in a tube company is given below. Find the average life of tube. Life Time (in hrs) Frequency Life time (in hrs) Frequency 300-399 400-499 500-599 600-699 700-799 14 46 58 76 68 800-899 900-999 1000-1099 1100-1199 62 48 22 6

The median of the following data is 525. Find the missing frequency, if it is given that there are 100 observations in the data: Class interval Frequency Class interval Frequency 0 100 2 500 600 20 100 200 5 600 700 f_2 200 300 f_1 700 800 9 300 400 12 800 900 7 400 500 17 900 1000 4