A greenhouse full of tomato plants is being looked after by a farmer. He measures each of the plants to see how well they are growing. Based on his measurements, the following frequency table has been produced: Height H (mm) Frequency 120 SH < 130 10 130 SH< 140 20 140 SH< 150 25 150 SH< 160 160 SH < 170 15 Using your calculator, choose the answer that lists the a) mean, b) median, c) IQR and d) standard deviation in the correct order.
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
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