Refer to the two box plots to the right showing starting salaries for first year

Question

Refer to the two box plots to the right showing starting salaries for first year graduates in agriculture and engineering. had a starting salary greater than $45,000 (a) Fill in the blank: Of the 580 engineering graduates, at most (b) Fill in the blank: If there were 183 agriculture graduates with starting salaries of $50,000 or less, the total number of agriculture graduates is approximately Engineering salaries L Agriculture I salaries 30 35 40 45 50 55 60 65 70 Starting salary (in thousands) (a) Of the 580 engineering graduates, at mosthad a starting salary greater than $45,000 Type an integer or a decimal.) (b) If there were 183 agriculture graduates with starting salaries of $50,000 or less, the total number of agriculture graduates is approximately (Type an integer or a decimal.)

Explanation / Answer

a) Second quantile onwards, the salary of engineering graduates were greater than 45000.

Thus 75% of 580 = 0.75*580 =435

At most 435 engineering students of the 580 had a salary greater than 45000.

b) The first 3 quantiles have salaries 50000 or less i.e. 75% is 183

Let x be the total no of agriculatural graduates.

Thus 0.75 * x = 183

x = 244

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