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Measures of Central Tendency Practice Questions

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Updated on Oct 3, 2011

To review these concepts, go to Measures of Central Tendency Study Guide.

Measures of Central Tendency Practice Questions

Practice

  1. Find the mean of the following set of data: {32, 34, 34, 35, 37, 38, 34, 42}
  2. What is the mode of {71, 68, 71, 77, 65, 68, 72}?
  3. The ages at the day camp were as follows: 9, 12, 9, 10, 9, 13, 11, 8, 17, 10. What is the median age?
  4. What is the range of the temperatures listed: 43°, 47°, 43°, 52°, 42°, 78°, 84°, 80°?

Solutions

  1. To find the mean, add up all of the data values, and divide by the number of items, which is eight: 32 + 34 + 34 + 35 + 37 + 38 + 34 + 42 = 286; 286 divided by 8 is 35.75.
  2. There are two modes for this data set. Both 71 and 68 appear in the set twice.
  3. First, arrange the data into increasing order: 8, 9, 9, 9, 10, 10, 11, 12, 13, 17. There is an even number of data values, so the median is the mean of the two middle values. The middle values are 10 + 10 = 20, and 20 divided by 2 is 10.
  4. The range is the difference between the highest and lowest values in the set of data. The highest temperature is 84° and the lowest temperature is 42°:   84° – 42° = 42°.
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