Measures of Central Tendency Practice Questions

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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°.