Question

An elite university in New York recently became concerned about a number of the young women in their dance program. The administration had been informed that many of these women had joined "diet" clubs, often sacrificing health in the pursuit of extreme thinness. The administration was concerned about the long term consequences of such diets including damage to critical systems (e.g., bones, heart, etc.) and the development of eating disorders. All dance students, with their informed consent, went through health screenings and then a program of education was enacted to improve healthly living and wellbeing. One measure taken was iron levels (normal iron blood levels of adult women are 40 - 150 micrograms per deciliter (mcg/dL)). The human body needs iron so it can make hemoglobin, a substance in red blood cells that carries oxygen from the lungs to body tissues. Iron is also needed for energy, good muscle and organ function. Below are data from the 50 young women in the program.

41	112	14	38	67	92	142	13	28	41
67	86	38	97	135	128	13	33	20	78
35	58	135	46	29	24	77	84	36	49
143	38	75	41	39	38	40	29	106	56
33	30	105	23	72	121	38	111	19	41

• In the space below, arrange your data into an array.
• Select your intervals. Explain your rationale for the intervals you selected.
• Construct a frequency table. Remember, your frequency table should include class interval, frequency, relative frequency and cumulative relative frequency.
• On a separate page, construct a histogram based on your table. Take a photo with your phone or an image file with your printer and insert on a separate page at the end of this homework or send as a separate jpg file. Or insert your image below.
• On a separate page, construct a frequency polygon based on your table. Take a photo with your phone or an image file with your printer and insert on a separate page at the end of this homework or send as a separate jpg file. Or insert your image below.
• Find the mean, median, and mode for the data.
• Mean =                                 Median =                                   Mode =                            .
• Is the data in question one skewed? Why or why not?
• You are a journalist who has attended this event. Write a short newspaper article describing the event and outcome. Remember that it needs to look like a newspaper article and your readers are not a bunch of statisticians!

Answer 1

88 UII 103-112 2 1 ) / 3-12-3 41 8 129-192 33-142 18 100 143-193

10 a 12 AARAY 41 7 33 HISTO FREG 72 minValu 13 waxinum welth 0 120 Range = 1-13 ma Val 3 and Sunee tabe untervs as and aretik as 1o can 123-32, 13314 2, 145-19 nzt class 23-33 +8 0 13 22 23-32 vaile 3 t snell in 5 Fer a FREQUENCY TABLE Tally mash Relblave F ll Fa EN 13-2 Mer 10 5 22 A3-32 med 5 2 30 33-42 3-S Mo 60 53-6 11 63-7 in 71 13-92 1N

100 40 34 29 f06 HISTOGRAM- 19 4 Value 13 2-0 Maz Velue 4 2 intervals as -(32, 133-142 143-162 cct class 23-33 5 3 23 33 43 53 63 73 83 93103 113 123 13 (43 Is4 Cum Rel Faee Relatue Fr 2 (2 22 10

FREQUENCY POLYGON- 1941 20 t 2 33 123 13 (43 (s3 103 113 93 63 73 83 33 43 53 23

Mean 60-g9 Median- 4 Mode - 38 shewners 0.75 setween 0-5 and the data Sunce shauners shewed modorataly
pages order is 2,1,3,4 and 5