1. A tyre dealer received samples of tyres from two suppliers X and Y. Hehad the samples tested for length of life (in months) with the followingresults:Length of LifeSupplier P: Supplier Q:(in Months):4-88-1212-1616-201021642301244Find the answers for the following questions:a. Which of the two tyres has a greater average life?b. Which of the two tyres is better do you prefer to buy?
Question
- A tyre dealer received samples of tyres from two suppliers X and Y. Hehad the samples tested for length of life (in months) with the followingresults:Length of LifeSupplier P: Supplier Q:(in Months):4-88-1212-1616-201021642301244Find the answers for the following questions:a. Which of the two tyres has a greater average life?b. Which of the two tyres is better do you prefer to buy?
Solution
The information provided for Supplier Q is not clear, so I can't calculate the average life of the tyres from Supplier Q. However, for Supplier P, the average life can be calculated by adding the lower and upper limit of each range and dividing by 2 to get the average of each range, then multiplying by the number of tyres in that range, adding all these up and then dividing by the total number of tyres.
Here's the calculation for Supplier P:
For the range 4-8 months, the average is (4+8)/2 = 6 months. There are 10 tyres in this range, so the total life is 6*10 = 60 months.
For the range 8-12 months, the average is (8+12)/2 = 10 months. There are 21 tyres in this range, so the total life is 10*21 = 210 months.
For the range 12-16 months, the average is (12+16)/2 = 14 months. There are 64 tyres in this range, so the total life is 14*64 = 896 months.
For the range 16-20 months, the average is (16+20)/2 = 18 months. There are 30 tyres in this range, so the total life is 18*30 = 540 months.
Adding these all up, the total life of all the tyres is 60 + 210 + 896 + 540 = 1706
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