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Author Question: The median is represented by which score for the following data set? Data set: 1, 2, 4, 7, 7, 8, 10, ... (Read 38 times)

faduma

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The median is represented by which score for the following data set? Data set: 1, 2, 4, 7, 7, 8, 10, 10, 10, 18
 
  a. 10
  b. 8
  c. 7.5
  d. 7

Question 2

Which of the following measures is the most helpful both for providing a quantification of dispersion and for providing a way to interpret how far away from the mean each individual score is?
 
  a. Standard deviation
  b. Difference scores
  c. Range
  d. Magnitude



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paavo

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Answer to Question 1

ANS: C
The median (MD) is the score at the exact center of the ungrouped frequency distribution. It is the 50th percentile. To obtain the MD, sort the values from lowest to highest. If the number of values is an uneven number, exactly 50 of the values are above the MD and 50 are below it. If the number of values is an even number, the MD is the average of the two middle values. The median for this set is 7.5, since the data set contains an even number of values, and the two numbers in the middle are 7 and 8. Their average is 7.5.

Answer to Question 2

ANS: A
Measures of dispersion, such as the range, difference scores, variance, and standard deviation, provide important insight into the nature of the data. The standard deviation is an important statistic, both for understanding dispersion within a distribution and for interpreting the relationship of a particular value to the distribution.





 

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