A survey research company asks 100 people how many times they have been to the dentist in the last five years. Their grouped responses appear below. Number of visits frequency 0 – 4 16 5 – 9 25 10 – 14 48 15 – 19 11 Compute the mean and standard deviation. Draw the histogram. Based on (iii)., interpret the distribution of the data. Based on (iii)., interpret the distribution of the data.
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!
A survey research company asks 100 people how many times they have
been to the dentist in the last five years. Their grouped responses appear
below.
|
Number of visits |
frequency |
|
0 – 4 |
16 |
|
5 – 9 |
25 |
|
10 – 14 |
48 |
|
15 – 19 |
11 |
- Compute the mean and standard deviation.
- Draw the histogram.
- Based on (iii)., interpret the distribution of the data.
- Based on (iii)., interpret the distribution of the data.
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