Hi, would you be able to explain to figure this question out. I am getting confu

Question

Hi, would you be able to explain to figure this question out. I am getting confused by the wording of the questions.Thank you.

Minority students in engineering. (black, Hispanic, Native American) who earned doctorate degrees in engineering from each of 152 universities in the years 2000 through 2002. The classes for histogram below are 1-5, 6-10, 11-15, 16-20 The histogram below shows the number of minority students 1 5. 100 2 75 50 25 0 10 20 40 Number of engineering doctorates earned by minorities (a) What is the position of each number in the five-number summary in a list of 152 observations arranged from smallest to largest? 2 (b) Even without the actual data, you can use your answer to (a) and the histogram to give the five-number summary approximately. Do this. About how many minority engineering PhD's must a university graduate to be in the top quarter? of legal immigrants (in thousands) who settled

Explanation / Answer

The shape of the histogram is right skewed. The center appears to be around 5-10. The spread of the data, after accounting for outliers, is 0 to 35.

(a) minimum = 1st; Q1 = the average of the 38thand 39th;

Median = average of the 76thand 77th;

Q3 = average of the 114thand 115th;

maximum = the 152nd

(b) Minimum falls between 1-5

Q1: falls between 1-5

Median: falls between 1-5

Q3: falls between 6-10

Maximum: falls between 46-50

The top quarter lower bound is between 6-10

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