Question

$210, $210, $320, $200, $300, $10, $340, $300, $245, $325, $700, $250, $240, $200 a. Find the mean of the radio prices. Round to the nearest cent. fill in the blank 1 b. Find the median of the radio prices. fill in the blank 2 c. Find the mode of the radio prices. (Place in ascending order) fill in the blank 3 fill in the blank 4 fill in the blank 5 d. Find the four quartiles.

Answer 1

The mean of the radio prices is approximately $238.57, the median is $242.50, there is no mode, and the quartiles are $210, $242.50, and $320.

Step-by-step explanation:

The mean of the given radio prices can be found by adding up all the prices and dividing the sum by the number of prices. In this case, add up all the given radio prices and divide by the total number of prices, which is 14. The mean is approximately $238.57.

The median of the radio prices can be found by arranging the prices in ascending order and finding the middle value. Since there are 14 prices, the middle two values are $240 and $245. The median is the average of these two values, which is $242.50.

The mode of the radio prices is the value that appears most frequently. In this case, there is no value that appears more than once, so there is no mode.

The quartiles divide the data set into four equal parts. To find the quartiles, the data must be arranged in ascending order. The first quartile (Q1) is the median of the lower half of the data, the second quartile (Q2) is the median of the entire data set (which we already found to be $242.50), and the third quartile (Q3) is the median of the upper half of the data. Using the given data, Q1 is $210, Q3 is $320, and IQR (the interquartile range) is $320 - $210 = $110.