Data set:139173198214175193166220122177119203175147250205216214260216256208185150204216261320236229138177132191356236316246212305289144396296171230324232461881642041098721889199143265237 Find frequency and relative frequencydraw relative frequency Use the empirical rule to estimate the percentages of observations that lie within one, two, and three standard deviations to either side of theUse the data to obtain the exact percentages of observations that lie within one, two, and three standard deviations to either side of theCompare your answers in parts (b) and (c)

Introduction - Relative frequency =current frequency total frequency Empirical rule - 68% of…

Answered: Data set: 139 173 198 214 175 193…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Related questions

Question

Data set:

139

173

198

214

175

193

166

220

122

177

119

203

175

147

250

205

216

214

260

216

256

208

185

150

204

216

261

320

236

229

138

177

132

191

356

236

316

246

212

305

289

144

396

296

171

230

324

232

188

164

204

109

218

199

143

265

237

Find frequency and relative frequency
draw relative frequency
Use the empirical rule to estimate the percentages of observations that lie within one, two, and three standard deviations to either side of the
Use the data to obtain the exact percentages of observations that lie within one, two, and three standard deviations to either side of the
Compare your answers in parts (b) and (c)

Expert Solution

Step 1

Introduction -

$R e l a t i v e f r e q u e n c y = \frac{c u r r e n t f r e q u e n c y}{t o t a l f r e q u e n c y}$

Empirical rule -

68% of observations falls within the $(μ \pm σ)$

95% within the first two SD $(μ \pm 2 σ)$

99.7% with in the first 3SD $(μ \pm 3 σ)$

$m e a n = \frac{s u m o f a l l o b s e r v a t i o n s}{t o t a l n u m b e r o f o b s e r v a t i o n s} S \tan d a r d d e v i a t i o n = \sqrt{\frac{{(x_{i} - x)}^{2}}{N}}$