A discrete variable can take on only the values 0,1,or 2. A set of 20 measuremen

Question

A discrete variable can take on only the values 0,1,or 2. A set of 20 measurements on this variable is shown here: 1,2,1,0,2,2,1,1,0,0,2,2,1,1,0,0,1,2,1,1

A) Construct a relative frequency histogram for the data.

B) What proportion of the measurements are greater then 1?

C) What proportion of the measurements are less than 2?

D) If a measurement is selected at random from the 20 measurements shows, what is the probability that it is a 2?

E) Describe the shape of the distribution. Do you see any outliers?

Explanation / Answer

Ans: a) A relative Frequency histogram of the data shows the following :

Value Frequency

0 5

1 9

2 6

b) The proportion of measurements greater than 1 is 6/20 = 3/10

c) The prorportion of measurements lesser than 2 = 14/20 = 7/10

d) The probability that an observation is a 2 = 6/20 = 3/10

e) The shape of the distribution is a wave, there are peaks and troughs. There are no outliers.

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