Download 155S3.12.notebook 1 January 15, 2010

155S3.1­2.notebook
January 15, 2010
Section 3­2 Measures of Center (by formula and calculator)
MAT 155­DY1 & DY 2
Find the (a) mean, (b) median, (c) mode, and (d) midrange:
96/6. A dietician obtains the amounts of sugar (in cg) from 100 cg in each of 10 different cereals. Is the mean of those values likely to be a good estimate of all Americans? Why or why not?
3 24 30 47 43 7 47 13 44 39
Section 3.1­2 Overview & Measures of Center
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Section 3­2 Measures of Center Section 3­2 Measures of Center (by formula and calculator)
Find the (a) mean, (b) median, (c) mode, and (d) midrange:
96/8. Listed below are intervals (in minutes) between eruptions of the Old Faithful geyser in Yellowstone National Park. Based on these values, what appears to be the best single value that could be used as an estimate of the time to next eruption? Accurate within 5 minutes?
Find the (a) mean, (b) median, (c) mode, and (d) midrange:
97/12. Amounts of personal income per capita for five states listed below. Mean for all 50 states is $29,672.52. Is this the mean amount of personal income per capita for all individuals in the United States? In general, can you find the mean of individual by finding the mean of the means of the 50 states?
$25,128 $32,151 $26,183 $23,512 $32,996
98 92 95 87 96 90 65 92 95 93 98 94
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Section 3­2 Measures of Center 98/20. Men tend to weigh more and be taller than women. Use the BMI values listed below. Does there appear to be a notable difference?
TI: men = BMIM and women = BMIF
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Section 3­2 Measures of Center 99/26. Find the mean of frequency distribution data and compare it to the mean of 0.230 computed from the raw data.
Step 1
M: 23.8 23.2 24.6 26.2 23.5 24.5 21.5 31.4 26.4 22.7 27.8 28.1
W: 19.6 23.8 19.6 29.1 25.2 21.4 22.0 27.5 33.5 20.6 29.9 17.7
Step 3
Press ENTER
Step 4 Results
Step 2
L1 contains the class midpoints;
L2 contains the corresponding frequencies.
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155S3.1­2.notebook
January 15, 2010
Section 3­2 Measures of Center 99/28. Find the mean of frequency distribution data. How does this compare to the mean of 98.6 assumed to be the mean by most people?
Step 1
Step 3
Press ENTER
I suggest that you read about the body temperature in "What's Normal? ­­ Temperature, Gender, and Heart Rate" by Allen L. Shoemaker, Calvin College, published in the Journal of Statistics Education v.4, n.2 (1996) The address is http://www.amstat.org/publications/jse/v4n2/datasets.shoemaker.html Step 4 Results
Step 2
L1 contains the class midpoints; L2 contains the corresponding frequencies.
The mean from this sample is 98.2 is slightly lower than the 98.6 that is usually considered to be normal body temperature.
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