Investigating Data

For which set of scores below is the mean the same as the median?

• 2, 2, 3, 3, 4

• 1, 2, 3, 4, 5, 6, 7, 8

• 3, 4, 4, 4, 5

• 1, 2, 5, 6

Which one of these is a measure of spread?

• interquartile range

• outlier

• mode

• median

The scores 4, 3, 7 and y have a mean of 4. What is the value of y?

• 4

• 3.5

• 2.5

• 2

Which one of these measures is not part of a five-number summary?

• upper quartile

• median

• lower extreme

• mean

Which one of these measures depends upon the value of every score in the data set?

• mode

• interquartile range

• mean

• range

The six chefs at a restaurant earn the following weekly wages: $520, $610, $610, $630, $660 and $710. How will another wage of $400 affect the mean and median of this set of wages?

• The mean and median will both increase.

• The mean and median will both decrease.

• The mean will increase and the median will decrease.

• The mean will decrease and the median will increase.

Which of the following measures is least affected by an outlier in the data set?

• mode

• range

• mean

• median

Alice's average mark for five exams is 67%. In her next exam, she wants to improve her average to 70%. What mark must she obtain in her next exam to achieve this?

• 75%

• 80%

• 85%

• 90%

The list below shows the most recent test scores for students in Mr. Garcia’s study group.

78, 90, 94, 72, 80, 68, 72, 88, 94, 98, 86, 96

Which box-and-whisker plot correctly represents the data in the list?

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Johnathan analyzed a set of data. He noticed that 50% of the data was

between 84 and 89. He also noticed that 50% of the data was between

88 and 91. The lowest data point was an 82. Which box plot could

represent the set of data Johnathan analyzed?

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