Question

A candle shop sells a variety of different candles. If they are offering a sale for 20% off,

how will this affect the mean, median, and mode cost per type of candle?

Answer 1

Mean: The mean is calculated by adding up all the prices of the candles and dividing by the total number of candles. When the prices are reduced by 20%, the new mean will also decrease by approximately 20%. This is because each price is being multiplied by 0.8, and then the total is divided by the same number of candles.

Median: The median is the middle value when all the candle prices are listed in order from lowest to highest. When the prices are reduced by 20%, the relative position of each price will remain the same. However, the actual values will decrease by 20%. Therefore, the new median will also decrease by approximately 20%.

Mode: The mode is the most common value in the set of candle prices. When the prices are reduced by 20%, it is possible that the mode will change, depending on the original distribution of prices. For example, if there are originally two or more prices that are tied for the most common value, then the mode may remain the same. However, if there is only one most common value, and this value is reduced by 20%, then a different value may become the new mode.

Explanation:

Answer 2

If a candle shop is offering a 20% off sale, the prices of all candles will be reduced by 20%. This will affect the mean, median, and mode cost per type of candle in the following ways:

• Mean: The mean is calculated by adding up all the prices of the candles and dividing by the total number of candles. When the prices are reduced by 20%, the new mean will also decrease by approximately 20%. This is because each price is being multiplied by 0.8, and then the total is divided by the same number of candles.

• Median: The median is the middle value when all the candle prices are listed in order from lowest to highest. When the prices are reduced by 20%, the relative position of each price will remain the same. However, the actual values will decrease by 20%. Therefore, the new median will also decrease by approximately 20%.

• Mode: The mode is the most common value in the set of candle prices. When the prices are reduced by 20%, it is possible that the mode will change, depending on the original distribution of prices. For example, if there are originally two or more prices that are tied for the most common value, then the mode may remain the same. However, if there is only one most common value, and this value is reduced by 20%, then a different value may become the new mode.

Hope this helps!