a. What are the mean head circumference and standard deviation for these women?
6
Expression 7: "M" equals round left parenthesis, mean left parenthesis, "H" , right parenthesis , 2 , right parenthesisM=roundmeanH,2
equals=
22
7
Expression 8: "S" equals round left parenthesis, stdev left parenthesis, "H" , right parenthesis , 2 , right parenthesisS=roundstdevH,2
equals=
11
8
b. On your calculator, make a histogram of the distribution of women’s head circumferences and sketch it. Use an interval from 50 cm to 57 cm with a bin width of 1.
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Expression 10: histogram left parenthesis, "H" , 1 , right parenthesishistogramH,1
Data SetBin Width
Count
Relative
Density
Center
Left
10
c. Hat size is determined by the whole-number portion of a woman’s head circumference. For example, a woman with a head measuring 55.8 cm would need a size 55 hat. According to your histogram, how many women in this sample need a size 52 hat?
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d. What percent of the women in this sample have a hat size less than 54?