a survey of 8 retirees was taken. among other things, the retirees were asked to report the age at which…

a survey of 8 retirees was taken. among other things, the retirees were asked to report the age at which they retired. here are those 8 ages (in years): 71, 61, 67, 63, 62, 55, 66, 64. (a) what is the median of this data - set? if your answer is not an integer, round your answer to one decimal place. (b) what is the mean of this data - set? if your answer is not an integer, round your answer to one decimal place. (c) how many modes does the data set have, and what are their values? indicate the number of modes by clicking in the appropriate circle, and then indicate the value(s) of the mode(s), if applicable. zero modes one mode: two modes: and

a survey of 8 retirees was taken. among other things, the retirees were asked to report the age at which they retired. here are those 8 ages (in years): 71, 61, 67, 63, 62, 55, 66, 64. (a) what is the median of this data - set? if your answer is not an integer, round your answer to one decimal place. (b) what is the mean of this data - set? if your answer is not an integer, round your answer to one decimal place. (c) how many modes does the data set have, and what are their values? indicate the number of modes by clicking in the appropriate circle, and then indicate the value(s) of the mode(s), if applicable. zero modes one mode: two modes: and

Answer

Explanation:

Step1: Calculate the median

First, arrange the data set (55,61,62,63,64,66,67,71) in ascending - order. Since (n = 8) (an even number of data points), the median is the average of the (\frac{n}{2})th and ((\frac{n}{2}+1))th ordered values. (\frac{n}{2}=4) and (\frac{n}{2}+1 = 5). The 4th value is (63) and the 5th value is (64). Median(=\frac{63 + 64}{2}=63.5).

Step2: Calculate the mean

The formula for the mean (\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}), where (x_{i}) are the data - points and (n) is the number of data - points. (\sum_{i=1}^{8}x_{i}=55 + 61+62+63+64+66+67+71=509), and (n = 8). Mean(=\frac{509}{8}=63.[SSE Completed, Client Connection Error][LLM SSE On Failure]