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4. The mean of the distribution of compy heights is 33.5 cm, and the standard deviation is 2.56 cm. Interpret the mean and standard deviation in this context.

User TecHunter
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Answer:

a) The average of compy heights is 33.5 cm

b) The 68.3 % of all compy heights are in the interval:

(30.94,36.06)

Explanation:

a) Meaning of the mean

The mean is a number expressing the central or typical value in a set of data.

The average of compy heights is 33.5 cm. If the select one height randomly its height will be in average 33.5 cm

b) Meaning of standard deviation

The standard deviation is a quantity expressing by how much the members of a group differ from the mean value for the group.

The 68.3 % of all compy heights are in the interval

(33.5cm - 2.56cm, 33.5cm + 2.56cm) = (30.94,36.06)

It means that the 68.3 % of all data is in the interval:

(μ - δ, μ +δ)

Where: μ is the mean

δ is the standard deviation

User Dstreit
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