ENGR 320: FALL 2018: Test 1 1. A random sample of 2012 NASCAR drivers produced t

Question

ENGR 320: FALL 2018: Test 1 1. A random sample of 2012 NASCAR drivers produced the following ages; 33, 48, 41, 29, 40, 48, 44, 42, 49, 28. a) Find the mean of the ages b) Find the median age c) Find the variance d) Find the standard deviation e) Find the 60h percentile of the ages 2. The following humidity readings were recorded: 29, 44, 12, 53,21,34,39,25, 48, 23, 17, 24, 27, 32, 34, 15, 42, 21, 38, 37, a) Prepare stem and leaf display of the data b) Prepare frequency distribution table c) Prepare relative frequency table d) Construct a histogram of the data 3. Draw a boxplot for the following data: 37, 115, 20, 25, 31, 10, 41, 44, 4, 36, 90 4. Compute the correlation coefficient and the least squares line of fit for the following data set

Explanation / Answer

Solution1a

mean=sum of ages/total no of ages

=402/10

=40.2

mean=40.2

Solution1b:

median is middle most value after sorting.

After sorting:

49

median=41+42/2=41.5

median=41.5

Solution1c:

Solution1d:

standard deviation=sqrt(varaince)=sqrt(60.4)=7.771744

28 29 33 40 41 42 44 48 48

49

median=41+42/2=41.5

median=41.5

Solution1c:

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