# Statistics and Probability

Seven households have the following number of creatures living there, 6,5,8,9,7,8,9.

The standard deviation of creatures living in these households?

Give the five number summary of distribution for creatures living in these houses.

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30% of people own a house with one garage, 40% own a house and parking space, 20% park their car on the street and 10% have one parking space.

What is the probability that a house has a garage?

What is the probability that 2 houses have a garage?

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#### Solution Preview

Seven households have the following number of creatures living there, 6,5,8,9,7,8,9.

The standard deviation of creatures living in these households?

The standard deviation is calculated as the square root of the sum of the squared differences between each case and the mean, divided by the number of cases:

The mean (the x with a bar over it in the formula) of the number of creatures is 7.42, so the standard deviation is:

SD = √ [ ((6 - 7.42)2 + (5 - 7.42)2 + ... + (9 - 7.42)2)/(7-1) ]

SD = √ [((-2.42)2 + (-1.42)2 + (-0.42)2 + (-0.58)2 + (-0.58)2 + (1.58)2 + (1.58)2)/6]

SD = √ [13.71/6]

SD = √ 2.28

SD = 1.51

Give the five number summary of distribution for creatures living in these ...