he data set shows the number of tickets sold each day for 10 days. 159, 162, 199, 200, 204, 208, 215, 235, 261, 294 Which statement is true? Both 159 and 162 are outliers. Both 159 and 294 are outliers. Only 159 is an outlier. Only 294 is an outlier.

Question

Mathematics

Richards

20 September, 01:52

he data set shows the number of tickets sold each day for 10 days. 159, 162, 199, 200, 204, 208, 215, 235, 261, 294 Which statement is true? Both 159 and 162 are outliers. Both 159 and 294 are outliers. Only 159 is an outlier. Only 294 is an outlier.

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Answers (2)

Know the Answer?

Maxwell Anderson · Answer 1

294 is correct

Nadia Mclaughlin · Answer 2

Only 294 is an outlier.

Step-by-step explanation:

First we find the median of this set of data. The middle value is 206. Next we find the upper and lower quartiles, Q1 and Q3. Q1 = 199 and Q3 = 235.

Any outliers will be more than 1.5 times the IQR lower than Q1 or more than 1.5 times the IQR greater than Q3. To find the IQR, subtract Q1 and Q3:

235-199 = 36

This means any outlier will be lower than

199-1.5 (36) = 145

or greater than

235+1.5 (36) = 289.

There are no values lower than 145. However, the upper end has an outlier at 294.