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

question 121

Essay

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.

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Definitions:

Contributing

Refers to the act of providing resources or help towards a common goal or fund.

Litres of Gasoline

A unit of measure used to quantify volumes of gasoline, commonly used in fuel transactions.

Rate of Consumption

The speed at which goods or services are being used up or consumed.

Kilometres

A unit of length in the metric system equal to 1,000 meters, commonly used to measure distances.