Frequency, Frequency Tables, and Levels of Measurement: example 1.18
Is the table correct? If it is not correct, what is wrong?
True or False: Three percent of the people surveyed commute three miles. If the statement is not correct, what should it be? If the table is incorrect, make the corrections.
What fraction of the people surveyed commute five or seven miles?
What fraction of the people surveyed commute 12 miles or more? Less than 12 miles? Between five and 13 miles (not including five and 13 miles)?
Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.
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Solution
No. The frequency column sums to 18, not 19. Not all cumulative relative frequencies are correct. The table entries for data values 2, 3, 10, and 18 are incorrect. This affects cumulative relative frequency for most values.
False. The frequency for three miles should be one; for two miles (left out), two. The cumulative relative frequency column should read 1052, .1579, .2105, .3684, .4737, .6316, .7368, .7895, .8421, .9474, 1.0000.