Question

1. The sample range is useful as a measure of:

variability

association

skewness

bias

central tendency

2. 150, 151, 154, 155, 155, 155, 155, 156, 156,156, 157,157, 158,158, 162,162,164
If we draw a boxplot, where should the lower whisker be?:

150

164

151

162

3. 40 independent measurements of the boiling point of a certain liquid were found to have a sample average of 95⁰C, and sample variance of 2⁰C. The formula for converting from a Celsius temperature x to a Fahrenheit temperature y is y=9x5+32. Thus, the sample mean and sample variance of the measurements (on the Fahrenheit scale) are, respectively:

203 0F and 38.48 0F

203 0F and 6.48 0F

171 0F and 38.48 0F

171 0F and 2.54 0F

203 0F and 2.54 0F

Answer 1

Answer 1:

The sample range is useful as a measure of: variability

Answer 2: 151

First Quartile Q1:

The first quartile (or lower quartile or 25th percentile) is the median of the bottom half of the numbers. So, to find the first quartile, we need to place the numbers in value order and find the bottom half.

Q1 = 155

Third Quartile Q3:

Q3 = 158

IQR = Q3 - Q1 = 158 - 155 = 3

Lower Limit = Q1 - 1.5*IQR = 155 - 3*1.5

Lower Limit = 150.5

The lower whisker refers to the smallest dataset number larger than 1.5 IQR below the first quartile

Thus, lower wishker in this case is 151

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