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and Five-Number Summary. Describe the...

a. Using Ideal Weight data, make a histogram, get Mean, Std.Deviation, and Five-Number Summary. Describe the distribution.

Description should include min, max, center, spread, number of peaks, shape, identification of outliers

b. Calculate the z-score for the weight 170 lbs. What is the probability P of weighing more than 170 -- P(x>170) ?

Age Gender Height Weight Ideal weight

30 F 60 112 115

30 F 60 114 115

50 F 63 115 110

48 F 63 115 113

28 F 63 116 110

41 F 64 116 116

31 F 64 120 110

31 F 62 120 115

17 F 68 120 125

46 F 62 121 115

20 F 60 123 115

31 F 61 123 135

37 F 63 124 118

58 F 62 125 115

21 F 65 125 110

38 F 62 125 120

45 F 62 125 121

26 F 68 125 125

46 F 60 126 120

22 F 64 127 117

31 F 63 128 120

47 F 62 130 115

52 F 62 130 120

21 F 67 130 125

27 F 56 130 105

20 F 62 130 115

28 F 62 130 115

22 F 65 132 125

22 F 65 132 125

22 F 65 132 125

38 F 65.5 133 125

33 F 67 134 125

33 F 67 134 125

20 F 62.5 135 120

42 F 66 135 130

28 F 61 135 115

46 F 62 135 130

26 F 63 140 128

30 M 71 140 175

19 F 63 142 130

23 F 68 143 143

36 F 65 144 128

45 F 67 145 132

40 F 64 145 120

24 F 65 147 140

45 F 68 148 140

25 F 64 148 138

25 M 70 150 175

24 F 60 150 120

26 F 66 150 125

51 F 62 150 120

22 F 78 150 175

37 M 69 150 150

66 F 66 150 140

47 F 67 154 150

27 M 71 155 165

38 F 68 155 130

26 F 66 160 150

45 F 63 160 130

43 F 63 160 125

25 M 70 160 175

45 F 72 160 140

37 M 74 160 185

35 F 63 161 135

33 F 64 163 130

23 M 66 164 155

31 M 72 165 175

25 F 71 165 150

28 F 67 165 150

28 F 67 165 150

24 M 67 165 160

39 F 64 165 140

20 M 71 165 165

25 M 73 170 180

26 M 68 170 160

46 F 68 172 140

33 F 67 177 160

55 F 66 180 150

42 F 63 180 135

43 F 70 180 150

27 F 62 181.8 125

30 M 73 185 180

38 F 70 185 175

34 M 73 185 165

30 M 73 185 180

38 M 67 185 165

44 M 67 187 160

49 M 69 188 185

50 M 66 190 180

35 M 73 190 200

33 M 70 190 175

38 F 69 190 170

26 M 73 190 180

40 M 71 190 175

33 F 67 191 150

46 M 73 195 180

46 M 73 195 180

46 M 73 195 180

25 F 64 198 145

37 F 69 200 165

31 M 68 200 170

27 M 76 200 215

30 F 68 200 175

24 M 75 201 200

36 M 69 204 185

30 M 73 205 180

29 M 70 210 200

27 M 72 210 200

33 F 67 210 180

34 F 68 212 140

51 M 66 215 195

36 M 74 215 205

22 M 71 215 195

27 M 72 215 195

41 M 72 220 190

47 M 73 220 200

26 M 72 220 205

25 M 72 220 200

38 M 70 220 185

37 M 71 223 190

25 F 63 225 175

51 M 75 225 225

37 M 71 226 190

31 M 74 227 220

45 F 66 227 155

37 F 69 230 175

32 M 72 230 200

45 M 70 230 220

29 M 75 235 180

24 F 64 235 140

35 F 64 235 160

25 M 73 235 180

35 M 76 240 205

41 M 76 245 220

29 M 72 248 220

33 F 64 250 150

46 M 73 250 225

43 M 74 255 190

38 F 69 255 155

26 M 70 260 180

39 M 73 260 220

32 M 75 260 230

28 M 71 260 200

57 M 74 277 240

49 M 75 285 240

55 M 68 290 175

29 M 73.5 301 205

33 F 69 310 150

31 M 71 412 250

44 M 70 450 180

Description should include min, max, center, spread, number of peaks, shape, identification of outliers

b. Calculate the z-score for the weight 170 lbs. What is the probability P of weighing more than 170 -- P(x>170) ?

Age Gender Height Weight Ideal weight

30 F 60 112 115

30 F 60 114 115

50 F 63 115 110

48 F 63 115 113

28 F 63 116 110

41 F 64 116 116

31 F 64 120 110

31 F 62 120 115

17 F 68 120 125

46 F 62 121 115

20 F 60 123 115

31 F 61 123 135

37 F 63 124 118

58 F 62 125 115

21 F 65 125 110

38 F 62 125 120

45 F 62 125 121

26 F 68 125 125

46 F 60 126 120

22 F 64 127 117

31 F 63 128 120

47 F 62 130 115

52 F 62 130 120

21 F 67 130 125

27 F 56 130 105

20 F 62 130 115

28 F 62 130 115

22 F 65 132 125

22 F 65 132 125

22 F 65 132 125

38 F 65.5 133 125

33 F 67 134 125

33 F 67 134 125

20 F 62.5 135 120

42 F 66 135 130

28 F 61 135 115

46 F 62 135 130

26 F 63 140 128

30 M 71 140 175

19 F 63 142 130

23 F 68 143 143

36 F 65 144 128

45 F 67 145 132

40 F 64 145 120

24 F 65 147 140

45 F 68 148 140

25 F 64 148 138

25 M 70 150 175

24 F 60 150 120

26 F 66 150 125

51 F 62 150 120

22 F 78 150 175

37 M 69 150 150

66 F 66 150 140

47 F 67 154 150

27 M 71 155 165

38 F 68 155 130

26 F 66 160 150

45 F 63 160 130

43 F 63 160 125

25 M 70 160 175

45 F 72 160 140

37 M 74 160 185

35 F 63 161 135

33 F 64 163 130

23 M 66 164 155

31 M 72 165 175

25 F 71 165 150

28 F 67 165 150

28 F 67 165 150

24 M 67 165 160

39 F 64 165 140

20 M 71 165 165

25 M 73 170 180

26 M 68 170 160

46 F 68 172 140

33 F 67 177 160

55 F 66 180 150

42 F 63 180 135

43 F 70 180 150

27 F 62 181.8 125

30 M 73 185 180

38 F 70 185 175

34 M 73 185 165

30 M 73 185 180

38 M 67 185 165

44 M 67 187 160

49 M 69 188 185

50 M 66 190 180

35 M 73 190 200

33 M 70 190 175

38 F 69 190 170

26 M 73 190 180

40 M 71 190 175

33 F 67 191 150

46 M 73 195 180

46 M 73 195 180

46 M 73 195 180

25 F 64 198 145

37 F 69 200 165

31 M 68 200 170

27 M 76 200 215

30 F 68 200 175

24 M 75 201 200

36 M 69 204 185

30 M 73 205 180

29 M 70 210 200

27 M 72 210 200

33 F 67 210 180

34 F 68 212 140

51 M 66 215 195

36 M 74 215 205

22 M 71 215 195

27 M 72 215 195

41 M 72 220 190

47 M 73 220 200

26 M 72 220 205

25 M 72 220 200

38 M 70 220 185

37 M 71 223 190

25 F 63 225 175

51 M 75 225 225

37 M 71 226 190

31 M 74 227 220

45 F 66 227 155

37 F 69 230 175

32 M 72 230 200

45 M 70 230 220

29 M 75 235 180

24 F 64 235 140

35 F 64 235 160

25 M 73 235 180

35 M 76 240 205

41 M 76 245 220

29 M 72 248 220

33 F 64 250 150

46 M 73 250 225

43 M 74 255 190

38 F 69 255 155

26 M 70 260 180

39 M 73 260 220

32 M 75 260 230

28 M 71 260 200

57 M 74 277 240

49 M 75 285 240

55 M 68 290 175

29 M 73.5 301 205

33 F 69 310 150

31 M 71 412 250

44 M 70 450 180

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