very year, the students at a school are given a musical aptitude test that rates them from 0 (no musical aptitude) to 5 (high musical aptitude). This year's results were: Aptitude Score 0 1 2 3 4 5 Frequency 1 3 4 4 4 1 4 The mean ( ¯ x x¯ ) aptitude score: (Please show your answer to 1 decimal place.) The median aptitude score: The mode aptitude score: (Please separate your answers by ',' in bimodal situation. Enter DNE if there is no mode.)
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!
Every year, the students at a school are given a musical aptitude test that rates them from 0 (no musical aptitude) to 5 (high musical aptitude). This year's results were:
Aptitude Score
0
1
2
3
4
5
Frequency
1
3
4
4
4
1
4
The
¯
x
x¯
) aptitude score: (Please show your answer to 1 decimal place.)
The median aptitude score:
The
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