Question

In: Statistics and Probability

A local hospital collects monthly data on the number of infections after surgeries. These data are...

  1. A local hospital collects monthly data on the number of infections after surgeries. These data are shown below:

208

225

202

236

220

244

247

245

250

227

234

227

213

212

183

182

242

230

187

252

201

226

222

212

219

223

191

222

231

239

217

241

220

278

255

225

208

225

227

202

A. Calculate the sample average


B. Calculate the sample standard deviation


C. Construct a stem-and-leaf plot for these data.


D. Construct a frequency distribution and histogram for these data (Please, use Microsoft Excel or Minitab. Copy & Paste – NO HAND DRAWING)

a. Determine the sample median

b. Determine the sample mode

c. Determine the lower and upper quartiles.

d. Determine the Interquartile Range

e. Determine the range

f. State the data required for the construction of a box plot for these data.

Solutions

Expert Solution

a)

b)

c)

Basic Statistics values :

Count 40
Minimum 182
Maximum 278
Sum 8960
Mean 224
Median 225
Mode 225
Standard Deviation 20.57
Variance 423.18

d)

Frequency Distribution Table
Class frequency Percentage
180 - 199 4 10
200 - 219 10 25
220 - 239 17 42.5
240 - 259 8 20
260 - 279 1 2.5
Total 40 100

To draw histogram, we first prepare the frequency distribution with boundary points, with central value of each class

Class Lower Upper Frequency
f
180 - 199 179.5 199.5 4
200 - 219 199.5 219.5 10
220 - 239 219.5 239.5 17
240 - 259 239.5 259.5 8
260 - 279 259.5 279.5 1

we are allowed to solve four subparts only.

orchestra answered 1 year ago
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