Weekly salaries (in dollars) for a sample of construction work...

Question

Weekly salaries (in dollars) for a sample of construction workers are listed.

1100 720 1384 1124 1255 976 718 1316

749 1062 1248 891 969 790 860 1100

a. Find the mean, median, and mode of the salaries. Which best describes a typical salary?

Accepted Answer

Welcome back, everyone. The following are with the weekly paychecks in dollars for 16 part-time tutors. $650 720, 880 $950 1100, $950 720, 1050, 980, 880, 950, 1150, 980, 1050, 950, and 1200. Determine the mean median and mode of these paychecks, which value best represents a typical weekly paycheck. Now, before we figure any of this out, let's first arrange our data in ascending order, OK? So let's arrange our data in order. Now, in ascending order, OK, then we're gonna have 650, 720, 720. We have 880 twice, OK? We have 954 times, OK. Then we have 980 twice, yeah. And then 1050 twice, OK. And then 1100, 1150. I'm gonna move this over a little bit just to make some space here because the last number we'll have is 1200, OK? So these are the 16 weekly paychecks in dollars. I know when we write it in ascending order, it might be easier for us to figure out these, uh, these, these types of averages, the mean, the median, and the more. Now first, let's start with the mean. Recall that to find the mean it means we add all the values up and divide by the number of values. So the mean then is gonna be the sum of all these values, 650 plus 720 plus 720 plus 880. Plus 818. Does 954 times? OK. Plus 980 + 980. OK. Plus 1050 plus 1050. Plus 1100. Plus 1150 plus 1200, OK. And now all of this is gonna be divided by 16. No, when we add all of these values up, OK, then we should find that it equals 15,160. And 15,160 divided by 16 equals 947.5. So the mean is $947.50. Next, let's move on to the median. This is why it was helpful for us to write it in ascending order, because the median is the middle value when the data set is ordered from least to greatest. Notice here that we have 16 values, and if there's an even number of values, the median is going to be the average of the two middle values. For 16 values, that means the middle values will be the 8th and the 9 value. So starting from 650, 123. Sorry, 123456789 tells us that the 8th value is 950 and the ninth value is 950. So, if both of those values are 950. That means the median is going to be 950 because the average of 950 and 950 is 950, OK? So a median. Is equal to $950. Now what about our mode? We'll recall that the mode is the value that appears most frequently. And again, by adding our numbers we can easily tell which one appears most frequently, which, as you can see here, is going to be 950. Thus, the mode is also 950. So which one of these values out of the mean, the median, and the mode do you think best represents a typical paycheck? Well, they're all close, but since 950 appears most frequently and is also the median, it best represents a typical weekly paycheck. OK, so we can say since $950. Is the media and mode. It best represents. A typical. Weekly Paycheck. Thanks a lot for watching everyone. I hope this video helped.

Weekly salaries (in dollars) for a sample of construction workers are listed.
1100 720 1384 1124 1255 976 718 1316
749 1062 1248 891 969 790 860 1100

a. Find the mean, median, and mode of the salaries. Which best describes a typical salary?

Key Concepts

Mean

Median

Mode

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