Gypsum mines in Florida have been determined to emit a dangerous radioactive by-

Question

Gypsum mines in Florida have been determined to emit a dangerous radioactive by-product, radon 222. A histogram of the exhalation rate measurements of 100 gypsum mines in Florida is shown below 80 60 40 20: 2000 4000 6000 8000 10000 12000 Exhilrate Midpoint If 5000 is considered a dangerous exhalation rate, which of the following statements is correct? O Approximately none of the gypsum mines had dangerous exhalation rates O Approximately 12% of the gypsum mines had dangerous exhalation rates. O Approximately 88% of the gypsum mines had dangerous exhalation rates OAll of the 100 gypsum mines had dangerous exhalation rates

Explanation / Answer

SOLUTION:

If we found out the percentage of gypsum mines having dangerous exhalation rates, our problem will be solved. Hence, in order to solve the problem we calculate the percentage of gypsum mines which had exhalation rates greater than or equal to 5000, as 5000 is considered a dangerous exhalation rate

first, we will locate the bars on the bar graph that account for exhalation rates greater than 5000.

The bars at 6000, 8000, 10000 and 12000 are the only ones taht exceed exhilerate midpoint 5000.

we will ignore the exhilerate midpoint 8000, as the length of bar (or percentage of mines) corresponding to 8000 is zero.

now, we are left with exhilerate midpoints, 6000, 10000 and 12000

each of these three exhilerate mid points have one level of bar.

Now, observing the graph we conclude,

5 levels of bar = 20% ( see the first bar corresponding to exhilerate mid point 2000)

this implies,

1 level of bar = 20/5 = 4%

hence, the total percentage of gypsum mines which have dangerous exhalation rates are:

4% corresponding to 6000 + 4% corresponding to 10000 + 4% corresponding to 12000

i..e, 4% + 4% + 4% = 12%

hence the correct answer is:

  Option b) approximately 12% of the gypsum mines had dangerous exhalation rates

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