Exhibit 1 Stem-and-leaf of Data: Amount of Money earned in a day in dollars Leaf Unit = 10 N =* 2 2 59 5 3 234 13 3 55779999 (**) 4 0001233 14 4 5569 *** 5 03344 5 5 7788 1 6 1 (i) What is the range of the distribution? [(ii) What are the values of *, ** and ***? (iii) What is the median of the distribution?
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!
Exhibit 1 Stem-and-leaf of Data: Amount of Money earned in a day in dollars Leaf Unit = 10 N =*
2 2 59
5 3 234
13 3 55779999
(**) 4 0001233
14 4 5569
*** 5 03344
5 5 7788
1 6 1
(i) What is the
[(ii) What are the values of *, ** and ***?
(iii) What is the
(iv) Use the stem-and-leaf diagram above to draw a box-and-whisker diagram.
(v) Comment on the skewness of the distribution0
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