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Tutorial Exercise Consider the following ordered data. 1 4 4 5 6 6 7 8 9 (a) Find the low, Q1, median, Q3, and high. (b) Find
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Answer #1

a)

The minimum is the smallest value in a data set. Ordering the data from least to greatest, we get: 1 4. 4 5 6 6 7 8 9 So, the

The first quartile (or lower quartile or 25th percentile) is the median of the bottom half of the numbers. So, to find the fi

The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value or

The third quartile (or upper quartile or 75th percentile) is the median of the upper half of the numbers. So, to find the thi

The maximum is the greatest value in a data set. Ordering the data from least to greatest, we get: 1 4 4 5 6 6 7 8 9 So, the

b)

The interquartile range is the difference between the third and first quartiles. The third quartile is 7.5. The first quartilThe interquartile range is the difference between the third and first quartiles. The third quartile is 7.5. The first quartil

c) Box plot:

D 18.5 8- 17.5 7. 16.5 6- 15.5 5 14.5 4 |3.5 3. 2.5 2. 1.5 1-

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