A student noted the number of cars passing through a spot on a road for 100 periods each of 3 minutes and summarised it in the table given below. Find the mode of the data :

Three schools A, B and C organised a mela for collecting funds for helping the rehabilitation of flood victims. They sold hand made fans, mats and plates form recylced material at a cost of Rs. 25, Rs. 100 and Rs 50 each. The number of articles sold are given below: Find the funds collected by each school separately by selling the above articles. Also find the total funds collected for the purpose.

Two dice are thrown simultaneously 500 times. Each time the sum of two numbers appearing on their tops is noted and recorded as given in the following table: If the dice are thrown once more, what is the probability of getting a sum: 3

A company manufactures two types of screws A and B. All the screw have to pass through a threading machine and a slotting machine. A box of type A screws requires 2 minutes on the threading machine and 3 minutes on the slotting machine. A box of type B screws requires 8 minutes of threading on the threading machine and 2 minutes on the slotting machine. in a week, each machine is available for 60 hours. On selling these screws, the company gets a profit of Rs.100 per box n type A screws and Rs.170 per box on type B screws. Formulate this problem as an LPP given that the obejctives is to maximize profit. also solve this LPP graphically to find the maximum profit.

A survey conducted on 20 households in a locality by a group of students resulted in the following frequency table for the number of family members in a household : Find the mode of this data.

Consider the marks out of 100, obtained by 51 students of a class in a test, given in table below: Draw a historigram and frequency polygon for the above data.

In each of the following problems, clearly state what the relevant and irrelevant factors are while going through Steps 1, 2 and 3 given in this chapter :- Suppose a company needs a computer for some period of time. The company can either hire a computer for Rs 2,000 per month or buy one for Rs 25,000. If the company has to use the computer for a long period, the company will pay such a high rent, that buying a computer will be cheaper. On the other hand, if the company has to use the computer for say, just one month, then hiring a computer will be cheaper. Find the number of months beyond which it will be cheaper to buy a computer.

The line normal to a given curve at each point (x,y) on the curve passes through the point (2,0). If the curve contains the point (2,3), find its equation.

In a mathematics test given to 15 students, the following marks (out of 100) are recorded: 41, 39, 48, 52, 46, 62, 54, 40, 96, 52, 98, 40, 42, 52, 60 Find the mean, median and mode of this data.