Provide an appropriate response.The range and standard deviation of the data set below are 35 and 12.47 respectively. 5, 24, 25, 26, 40If the 26 is replaced with 39, how will this affect the range? How will this affect the standard deviation. Use your answers to explain why the standard deviation is preferable to the range as a measure of variation.

What will be an ideal response?


Answers will vary. Possible answer: The range will be unaffected, while the standard deviation will increase. The standard deviation is preferable as it takes into account the numerical value of all observations while the range depends only on the smallest and largest observations and disregards other observations.

Mathematics

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