Measures of Central Tendency Vocabulary Range: Measures of Central Tendency Mode: the data item that occurs the most times. * It is possible for a set of data to have no mode or more than one mode. Use the mode Mean: the average Use the mean Median: the middle value in the set when the numbers are arranged in order. * If there are two in the middle, find their average. Use the median Outlier: How do you find the range? Tune – Home, Home on the Range How do you find It’s the difference of The lower Are the only Measures the spread of data; the difference between the greatest and the least data value. the range? the extremes. extreme and the upper extreme two values you need. when the data is categorical (non-numeric) or when choosing the most popular item. Mean, Median and Mode Song Tune – “Row, Row, Row Your Boat” Mode, mode, mode’s Average Median, median, median, median’s Always to describe the middle of a set of data that DOES NOT have an outlier. the most. is the mean. in between. to describe the middle of a set of data that DOES have an outlier. a data value that is much higher or lower than the other data values in the set.

Use this data set to answer the following questions: 14, 10, 16, 11, 20, 19, 18, 16, 10, 16 1. What is the range of the data? 2. Does the data set have any outliers? 3. Find the median. 4. Find the mode. 5. Find the mean. 6. The prices of seven pairs of shoes are $45, $23, $63, $23, $81, $75 and $47. What is the range in the price of the shoes? $23 C. $51 $47 D. $58 7. The prices of nine backpacks are $43, $21, $53, $32, $32, $23, $61, $67 and $37. What is the median price of the backpacks? A. $32 C. $41 . $37 D. $46 8. The prices of five snacks are $1.50, $2.00, $3.00, $.75 and $.50. What is the mode of the snacks? 0 C. no mode $2.50 D. $3.00