QuestionCalculate the mean, median, and mode of the prices: 10, 20, 42, 34, 31, 17, 21, 53, 33, 19, 55, 23, 57, 34, 55, 61, 44, 41, 39, 38, 47, 30, 55, 67.
Studdy Solution
STEP 1
Assumptions1. The list of prices paid by the elderly for antidepressant medication is10,20,42,34,31,17,21,53,33,19,55,23,57,34,55,61,44,41,39,38,47,30,55,67. We are looking for the mean, median, and mode of these prices.
STEP 2
First, we need to find the mean of the prices. The mean is calculated by adding up all the numbers and then dividing by the count of numbers.
STEP 3
Now, plug in the given values for the sum of numbers and count of numbers to calculate the mean.
STEP 4
Calculate the mean amount.
STEP 5
Next, we need to find the median of the prices. The median is the middle number in a sorted list. If the list has an even number of observations, the median is the average of the two middle numbers.
First, sort the list in ascending order.
STEP 6
Now, find the middle number(s). Since there are24 numbers, the middle numbers are the12th and13th numbers.
STEP 7
Calculate the median by averaging the two middle numbers.
STEP 8
Plug in the values for the12th and13th numbers to calculate the median.
STEP 9
Calculate the median amount.
STEP 10
Finally, we need to find the mode of the prices. The mode is the number that appears most frequently in a list.
STEP 11
Count the frequency of each number in the list.
STEP 12
The number with the highest frequency is the mode. In this case, the mode is \$55.
The mean amount paid by the elderly for antidepressant medication is \$39, the median is \$39, and the mode is \$55.
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