A botanist wanted to know if the stem lengths of daffodils differed depending on

Question

A botanist wanted to know if the stem lengths of daffodils differed depending on which side of a building they grew on. So she measured all of the flowers on the north, east, south, and west sides of the building and created the following graph:

Which building side has the largest range? Which side has the largest IQR?

On the north side of the building, the first quartile is 33cm, the median is 36cm, and the third quartile is 38cm. If she goes to the north side and randomly selects four daffodils, what is the probability that none of them are between 36cm and 38cm?

Explanation / Answer

explanatory variable --side of the bulding (north , south,east , west)

response variable --stem length

Which building side has the largest range =-------east

side has the largest IQR --------East

as probability of being from median to 3rd quartile =0.25

therefore probability that none of them are between 36cm and 38cm=(1-0.25)4 =0.3164

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