the median boiling temperature of the tap water is 100°c. the median boiling temperature of the salt water…

the median boiling temperature of the tap water is 100°c. the median boiling temperature of the salt water is 102°c. which statement about the means is most likely true?\nthe mean of the tap water boiling temperatures is about 4° less than the mean of the saltwater boiling temperatures.\nthe mean of the tap water boiling temperatures is about 2° less than the mean of the saltwater boiling temperatures.\nthe mean of the tap water boiling temperatures is about 1° greater than the mean of the saltwater boiling temperatures.\nthe mean of the tap water boiling temperatures is about 3° less than the mean of the saltwater boiling temperatures.

the median boiling temperature of the tap water is 100°c. the median boiling temperature of the salt water is 102°c. which statement about the means is most likely true?\nthe mean of the tap water boiling temperatures is about 4° less than the mean of the saltwater boiling temperatures.\nthe mean of the tap water boiling temperatures is about 2° less than the mean of the saltwater boiling temperatures.\nthe mean of the tap water boiling temperatures is about 1° greater than the mean of the saltwater boiling temperatures.\nthe mean of the tap water boiling temperatures is about 3° less than the mean of the saltwater boiling temperatures.

Answer

Explanation:

Step1: Recall relationship between mean and median

In a symmetric distribution, mean = median. In a right - skewed distribution, mean > median and in a left - skewed distribution, mean < median.

Step2: Analyze tap - water data

The median boiling temperature of tap water is (100^{\circ}C). Assume the distribution is somewhat symmetric around the median for simplicity (since no other information about skewness is given).

Step3: Analyze salt - water data

The median boiling temperature of salt water is (102^{\circ}C).

Step4: Compare means

The difference between the medians is (102 - 100=2^{\circ}C). Since the median of salt - water is higher and assuming similar distribution shapes for both (no information to suggest otherwise), the mean of the salt - water boiling temperatures is likely about (2^{\circ}C) higher than the mean of the tap - water boiling temperatures.

Answer:

The mean of the tap water boiling temperatures is about (2^{\circ}) less than the mean of the saltwater boiling temperatures.