Adults who are being tested for dementia are asked to perform mentasks such as listing as many animals as they can in one minute. Here are the numbers of animals listed in one minute by 8 normal (non-demented) adults: 11,17,19,21,21,22,23,24 Send data to calculator (a) What is the mean of this data set? If your answer is not an integer, round your answer to one decimal place. (b) What is the median of this data set? If your answer is not an integer, round your answer to one decimal place. (c) How many modes does the data set have, and what are their values? Indicate the number of modes by clicking in the appropriate circle, and then indicate the value(s) of the mode(s), if applicable. zero modes one mode: two modes:

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Adults who are being tested for dementia are asked to perform mentasks such as listing as many animals as they can in one minute. Here are the numbers of animals listed in one minute by 8 normal (non-demented) adults: 11,17,19,21,21,22,23,24  Send data to calculator (a) What is the mean of this data set? If your answer is not an integer, round your answer to one decimal place. (b) What is the median of this data set? If your answer is not an integer, round your answer to one decimal place. (c) How many modes does the data set have, and what are their values? Indicate the number of modes by clicking in the appropriate circle, and then indicate the value(s) of the mode(s), if applicable. zero modes one mode: two modes:

Tionant · Accepted Answer

Step 1  Given data in sorted order is  11,17,19,21,21,22,23,24  Step 2  a) Mean is  Mean=Sum of observationsTotal number of observations  =1588  =19.75  =19.8  b) The median is  The median of a data set is found by identifying the middle number in a sorted data set. If there are an odd number of data values in the data set, the median is a single number. If there are an even number of data values in the data set, the median is the average of the two middle numbers.  Since there is an even number of data values in this data set, there are two middle numbers. With 8 data values, the middle numbers are the data values at positions 4 and 5. These are 21 and 21. The median is the average of these numbers. We have  21+212  =21  c)Mode:  The mode is the value that appears most frequently in a data set.  Here the mode is 21

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