Question

In: Statistics and Probability

Ed is investigating the daily mean windspeed, in knots, in Perth in 2015. He want to...

  1. Ed is investigating the daily mean windspeed, in knots, in Perth in 2015. He want to take a random sample of size 30 from 194 dates in the large data set.

    1. Explain briefly how Ed would take his sample.

The data that Ed collects is summarised in the table.

Windspeed, w (km)

4 ≤ w < 6

6 ≤ w < 8

8 ≤ w < 10

10 ≤ w < 12

Frequency

5

13

8

4

© Crown Copyright Met Office

  1. Use linear interpolation to estimate the median daily mean windspeed.

  2. Use your calculator to find estimates for the mean and standard deviation of the daily mean windspeeds.

A sample of size 30 was taken from the large data set for Jacksonville in 2015.

Median: 4.7
Mean: 5.4
Standard deviation: 2.3

  1. Compare the distribution of daily mean windspeeds in knots for Perth and Jacksonville.

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