The data set below contains the total cost (in dollars) of attending

26 different professional sporting events in a recent year. Complete parts (a) and (b).

231

213

166

172

220

187

191

218

207

242

207

216

272

186

228

155

246

206

259

259

219

163

214

201

196

a. Decide whether the data appear to be approximately normally distributed by comparing data characteristics to theoretical properties.Based on the theoretical properties of the normal distribution, do the data appear to be approximately normally distributed?

A.

Yes, the distribution of the data appears to closely resemble a normal distribution.

B.

No, because the distribution of the data is significantly skewed to the right.

C.

No, because there are a significant number of outliers.

D.

No, because the distribution of the data is significantly skewed to the left.

b. Decide whether the data appear to be approximately normally distributed by using the descriptive statistics you computed with a statistical application (like Analysis Toolpak, StatPlus, or

StatCrunch).

What is the best description of the given data based on the descriptive statistics?

A.

The data are skewed to the right since the IQR is nearly 1.33 standard deviations.

B.

The data appear to be normally distributed since mean and median are nearly the same.

C.

The data are skewed to the left because the range is 6 times the standard dev