During the first six months of the American Civil War armies were amassed as nev

Question

During the first six months of the American Civil War armies were amassed as never before in history. Large groups of men, transported far from home, lived in conditions that bred sickness. In a recent study involving Confederate muster rolls, a researcher constructed a cumulative relative frequency distribution of the percentages of Confederate soldiers reported sick for each company. A "Company" is a unit of soldiers, usually between about 70 and 120 in size. The cumulative relative frequency distribution for October, 1861, is shown below. Approximately what proportion of the Confederate companies had less than 20% sick? a. No companies had less than 20% sick b. 5% c. 30% d. 50% e. All companies had less than 20% sick Approximately 80% of the companies had less than what percentage of soldiers sick? a. 5% b. 20% c. 30% d. 50% e. 100%

Explanation / Answer

1)Drawing a straight line at x = 20% ,we get that it intersects the curve at approvimately 0.5 mark.

Hence, the correct answer is D. 50% companies had less than 20% sick.

2) Drawing a straight line at y = 0.8, we find that it cuts the graph at point A. Drawing a perpendicular on X-axis from A, we get that the % of soldiers sick is approximately 30%. Hence, C is the correct answer.

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