Prob and Stats

Identify the First Quartile, Third Quartile, and the Interquartile Range of the following distribution.

• Q1=31.5 ; Q3=41; IQR=13

• Q1=30 ; Q3=43 ; IQR=13

• Q1=31.5 ; Q3=41; IQR=9.5

• Q1=30 ; Q3=43; IQR=9.5

Jessica scored an 81 on her first quiz in Prob & Stats. Use the following table to calculate her z-score.

• -0.544

• -0.296

• 0.296

• 0.544

If you have a highly skewed distribution with outliers, what measure of variability should you use?

• Standard Deviation

• Interquartile Range

• Percentile

• Range

What is the median of the following data set?

11 , 13 , 14 , 11 , 12 , 12 , 16 , 13 , 15 , 11

• 12

• 13

• 12.8

• 12.5

What is the probability that someone who likes Toyotas is female?

• .525

• .4627

• .6774

• .3143

Is 28 an outlier in the following data set?

• Yes, because anything greater than 22.5 is an outlier

• Yes, because anything greater than 25.75 is an outlier

• No, because it must be greater than 34.5 to be an outlier

• Yes, because anything greater than 19.25 is an outlier

Which of the following measures of variability is resistant?

• IQR

• mean

• standard deviation

• range

Identify the range using this boxplot. Is the range a resistant measure of variability?

• Range: 17; Yes, resistant

• Range: 6.5; Yes resistant

• Range: 6.5; No, not resistant

• Range: 17; No, not resistant

Calculate the mean of the following distribution:

5.5, 10.5, 12, 11.5, 19, 19.5, 20

Would the mean change if the data value 20 (the maximum) was replaced with 30?

• Mean: 14 ; Yes because the mean is not resistant to extreme values.

• Mean: 11.5 ; Yes because the mean is not resistant to extreme values.

• Mean: 11.5 ; No because the mean is resistant to extreme values.

• Mean: 14 ; No because the mean is resistant to extreme values.

Identify the First Quartile, Median, and Third Quartile of the following dataset:

• Q1=9 ; Median=15 ; Q3=26.5

• Q1=10.5 ; Median=18 ; Q3=26.5

• Q1=10.5 ; Median=21 ; Q3=31

• Q1=9 ; Median=18 ; Q3=31