4. Suppose a group of 12 students with the test scores 09, 62, 38, 43, 25,75, 59

Question

4. Suppose a group of 12 students with the test scores 09, 62, 38, 43, 25,75, 59,71, 64,88,99, and 95 into three intervals, using the equal-width approach. Do the partition, and identify the smallest and largest values (among those values that appear in the list above) in each of the intervals. Then, find the true statement in the list below. a)) 71 is the largest value in its interval b) 75 is the smallest value in its interval c) 38 is the largest value in its intervall d) 43 is the largest value in its interval

Explanation / Answer

In the whole dataset,

Minimum = 9

Maximum = 99

So, range of the whole data = 99 - 9 = 90

So, the whole data set can be divided in 3 equal intervals (7.5, 38.5) , (38.5,69.5), (69.5,100.5) with interval = 31

In the first interval, we have values like {9,25,38}

In the second interval, we have values like {43,59,62,64,}

In the third interval, we have values like {71,75,88,95,99}

True statement -> c) 38 is the largest value in its interval

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