a) 887.4 changing the file does influence the average.(b) offered that through accident, the highest possible income in the record gets readjusted from $$ 98,600$ come $$ 986,000 .$This walk not impact the median due to the fact that the median does not rely on the too much observations of the notified list as soon as the variety of observations is unaltered. Due to the fact that $$ 986,000$ is the extreme observation that the ordered perform of the family members incomes for 1000 subjects, because of this there will be no influence for the median.




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Video Transcript

Okay, for this reason this concern is asking about files throughout family incomes because that 1000 subjects in his study, they range from $5 a head rolls a year to $98,600 a year. Um, through accident, the highest income gets changed, too. Uh, $986,000. Yet the first part asks the disinfects average, um, the average. The formula is few of the individual values split by the variety of values. In ours case, it's a few of the incomes split by the number incomes. So if we readjust one of this incomes, climate you'll readjusted average. So, yes, it does impact average. And how much? Whoa. First, come see exactly how much the value adjusted by. So it changed. It boosted by Let's see exactly how much? around $887,400. Therefore that's just how much the worth increased. However in state of just how much the median actually increase. Um, basically, uh, several of the individual expertise increased by this much $887,400. Um, however we want to discover how lot the median trees, and to execute that, we have to divide by end an finish is 1000. So we division that by one dozen, it s okay 100 87.4, i don't know, increase in average. So that's your answer for component A. And also then part B asks, um, walk this influence the median? It's so by exactly how much. So the media is actually what we call resistant thio alters in too much values. Us make transforms to too much values come meet. Intends to continue to be the very same in this case. Ah, since we we readjusted an too much observation and additionally we didn't adjust the complete number of, uh, we didn't change the total number of values. For this reason the media would certainly actually say that same In this case, there would be no change. Um, I'll just give an instance if you have actually a list 1234 buys. The meeting of this perform is three. If the actually readjusted 52 500 the meeting will certainly still it is in 305,000. The tool still it is in three. The very same logic applies here. The media is resistant to change is in excessive values. As long as a total variety of observations remains the same