Question

Because the mean is very sensitive to extreme​ values, it is not a resistant measure of center. By deleting some low values and high​ values, the trimmed mean is more resistant. To find the​ 10% trimmed mean for a data​ set, first arrange the data in​ order, then delete the bottom​ 10% of the values and delete the top​ 10% of the​values, then calculate the mean of the remaining values. Use the axial loads​ (pounds) of aluminum cans listed below for cans that are 0.0111 in. thick. Identify any​outliers, then compare the​ median, mean,​ 10% trimmed​ mean, and​ 20% trimmed mean.
248

259

268

274

277

280

281

283

283

285

 

286

289

290

290

293

295

295

299

311

507

Identify any outliers. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

A.

The​ outlier(s) is/are

 

nothing

pounds.

​(Type a whole number. Use a comma to separate answers as​ needed.)

B.

There are no outliers.

The median is

 

nothing

pounds.

​(Type an integer or decimal rounded to one decimal place as​ needed.)

The untrimmed mean is

 

nothing

pounds.

​(Type an integer or decimal rounded to one decimal place as​ needed.)

The​ 10% trimmed mean is

 

nothing

pounds.

​(Type an integer or decimal rounded to one decimal place as​ needed.)

The​ 20% trimmed mean is

 

nothing

pounds.

​(Type an integer or decimal rounded to one decimal place as​ needed.)

Compare the values. Choose the correct answer below.

A.

All of the values are close to each other.

B.

The untrimmed​ mean, 10% trimmed​ mean, and​ 20% trimmed mean are close to each other.​ However, the median is significantly different from those values.

C.

The​ median, untrimmed​ mean, and​ 20% trimmed mean are close to each other.​ However, the​ 10% trimmed mean is significantly different from those values.

D.

The​ median, 10% trimmed​ mean, and​ 20% trimmed mean are close to each other.​ However, the untrimmed mean is significantly different from those values.

E.

The​ median, untrimmed​ mean, and​ 10% trimmed mean are close to each other.​ However, the​ 20% trimmed mean is significantly different fro​

Answer 1

Hi! I am not sure but I think it’s 248. Hope it’s right have a good day