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. (a) Fill in the blank: Of the 540 engineering graduates, at most -had a starting salary greater than $53,000. (b) Fill in the blank: If there were 249 agriculture graduates with starting salaries of $50,000 or less, the total number of agriculture graduates is approximately Agriculture salaries x 30 35 40 45 50 55 60 65 70 Starting salary (in thousands) (a) Of the 540 engineering graduates, at most 405 had a starting salary greater than $53,000. (Type an integer or a decimal.) (b) If there were 249 agriculture graduates with starting salaries of $50,000 or less, the total number of agriculture graduates is approximately 332 Type an integer or a decimal.)

Explanation / Answer

Part a

We are given n = 540

We have to find number of engineering graduates who had salary greater than $53000.

From given box plot,

Q3 = $53,000

This means 75% engineering graduates have salary less than $53000.

This means 25% engineering graduates have salary greater than $53000.

Required number of engineering students = 540*25% = 540*0.25 = 135

Required answer = 135

Part b

We are given n = 249

From given box plot, we are given

Q3 = $50,000

This means 75% agriculture graduates have salary less than $50,000.

Required number of agriculture graduates = 249*0.75 = 186.75

Required answer = 187 approximately

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