Question

Question Help The following data represent the miles per gallon for a particular make and model car for six randomly selected vehicles. Compute the mean, median, and mode miles per gallon 35.3, 36.6, 36.4, 24.8, 23.5, 30.3 Compute the mean miles per gallon. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The mean mileage per gallon is (Round to two decimal places as needed.) OB. The mean does not exist. Compute the median miles per gallon Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The median mileage per gallon is (Round to two decimal places as needed) OB. The median does not exist Compute the mode miles per gallon Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The mode is (Round to two decimal places as needed. Use a comma to separate answers as needed.) B. The mode does not exist.

Answer 1

Solution:- Given that 35.3,36.6,36.4,24.8,23.5,30.3

=> option A. the mean mileage per gallon is 31.15

Explanation:

mean = sum of terms.number of terms
= 186.9/6
= 31.15

=> option A. The median mileage per gallon is 32.8

Explanation

The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.

Ordering the data from least to greatest, we get:

23.5 24.8 30.3 35.3 36.4 36.6   

As you can see, we do not have just one middle number but we have a pair of middle numbers, so the median is the average of these two numbers:

median = (30.3+35.3)/2 = 32.8

=> option B. The mode does not exist

Explanation

The mode of a set of data is the value in the set that occurs most often.

Ordering the data from least to greatest, we get:

23.5 24.8 30.3 35.3 36.4 36.6   

Since each value occurs only once, there is no mode for this data set.