The following data represent the ages of 15 people buying lift tickets at a ski
ID: 3051919 • Letter: T
Question
The following data represent the ages of 15 people buying lift tickets at a ski area. 15 25 26 17 38 16 72 42 30 24 28 40 20 32 31 What is the mean of these data, rounded to two decimal places? What is the median of these data? What is the range of these data? What is the variance of these data, rounded to two decimal places? What is the standard deviation of these data, rounded to two decimal places? What is the value of the first quartile? What is the value of the third quartile? What is the value of the interquartile range? What is the value of the lower inner fence? What is the value of the upper inner fence? Are there any outliers in this data set?Explanation / Answer
Descriptive Statistics: data
Variable Mean StDev Variance Q1 Median Q3 Range IQR
data 30.40 14.26 203.26 20.00 28.00 38.00 57.00 18.00
Lower Inner Fense = Q1 - 1.5 *IQR
= 20 - 1.5* 18
Lower Inner Fense = -7
Upper Inner Fense = Q3 + 1.5*IQR
Upper Inner Fense = 38 + 1.5*18
Upper Inner Fense = 65
Outlier Test: data
Null hypothesis All data values come from the same normal population
Alternative hypothesis Smallest or largest data value is an outlier
Significance level = 0.05
Grubbs' Test
Variable N Mean StDev Min Max G P
data 15 30.40 14.26 15.00 72.00 2.92 0.004
Outlier
Variable Row Outlier
data 7 72
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