CPM Homework Help : CCA2 Problem C-51

An environmental engineering group has collected core samples from the earth to determine if they are contaminated. The samples were weighed, as follows:

$15{\ }40{\ }69{\ } 65{\ } 10$

$60{\ } 34{\ } 20{\ } 43{\ } 40$

$10{\ } 25{\ } 44$

$65{\ } 32{\ } 45{\ } 30{\ } 36$

$45{\ } 50{\ } 35{\ } 39{\ } 50$

$46{\ } 55{\ } 31$

checksum $1034$

Determine if the mean and standard deviation is an appropriate way to summarize this data. If so, find the mean and standard deviation with your calculator. If not, use the median and IQR. Consider the precision of the measurement of weight when deciding how many decimal places to use in your answer.

Hint:

Try finding the mean and standard deviation as well as median and IQR.
If it helps, make a combination histogram and boxplot.
Also, pay attention to the data points.
What is the smallest place value with a non-zero digit?

Answer:

Minimum: $10$ Mean: 40
First Quartile: $31$ Standard Deviation: $16$
Median: $40$
Third Quartile: $50$
Maximum: $69$
IQR: $19$
All numbers are rounded to the nearest whole number.