Measures of Tendency

In which of the following situations would the mean be an appropriate measure of central tendency?
I. when the data set contains no outliers
II. when using categorical data
III. when an exact average is needed
IV. when the middle value is needed 

• II and III only

• I and III only 

• I, III, and IV only

• All of the above

Roger tried to fill up fifteen bottles of water with the same amount of water. The amounts of water in the bottles were measured in ounces.
15.4, 15.5, 16.5, 14.6, 16.2, 14.3, 14.8, 16.6, 15.3, 14.7, 16.9, 17.2, 15, 15.7, 15.8
Which would be the best measure of center for these amounts of water? 

• range

• median

• mode

• mean

33, 25, 42, 25, 31, 37, 46, 29, 38
What is the interquartile range of the data?

• 8

• 9

• 13

• 21

The sum of all the data items divided by the number of data items, is the measure of central tendency called the...

• mean

• median

• (n+1)/2 position

• mode

The measure of central tendency that is the data item in the middle of ranked, or ordered, data is called the...

• mean

• median

• (n+1)/2 position

• mode

A data value that occurs most often in a data set is the measure of central tendency called the...

• mean

• median

• (n+1)/2 position

• mode

The measure of central tendency that is found by adding the lowest and highest data values and dividing the sum by 2 is called the...

• midrange

• mode

• median

• mean

Numbers representing what is average or typical about a data set are called measures of central tendency.

• True

• False

When finding the mean, it is necessary to arrange the data items in order.

• True

• False

If one or more data items are much greater than the other items, the mean, rather than the median, is more representative of the data.

• True

• False