The range and standard deviation of the data set below are 35 and 12.47 respectively. $5,24,25,26,40$ If 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.

Question

The range and standard deviation of the data set below are 35 and 12.47 respectively.  $5,24,25,26,40$  If 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.

Quizplus · Accepted Answer

The Answer is The range will be unaffected, while the standard deviation will increase. The standard deviation is preferable as it takes all observations into account while the range depends only on the smallest and largest observations and disregards other observations.

The Range and Standard Deviation of the Data Set Below 5,24,25,26,405,24,25,26,405,24,25,26,40

The Range and Standard Deviation of the Data Set Below $5,24,25,26,40$