The five-number summary below shows the grade distribution of a STAT 200 quiz fo
ID: 3289624 • Letter: T
Question
The five-number summary below shows the grade distribution of a STAT 200 quiz for a sample of 60 students. Answer each question based on the given information, and explain your answer in each case. (a) What is the range in the grade distribution? (b) Which of the following score bands has the most students? (i) 30-50 (ii) 50 - 70 (iii) 85 - 100 (Iv) Cannot be determined (c) How many students in the sample are in the score band between 65 and 100?
30 50 65 85 100 0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100Explanation / Answer
a) Range of the grade distribution= Maximum grade value - Minimum grade value=100-30=70
b)50 is the Quartile 1
65 is the median or Quartile 2
85 is the quartile 3
The quartiles divide the given data into four parts.
30 to 50 and 85 to 100 are tthe 25% of the data values
By looking at the picture right answer is option second 50 to 70 is having the most students
d) 65 to 85 and 85 to 100 is 25% of the data
Hence 50% of 60 students in the sample are in the score band between 65 and 100. That is 30 students
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