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Math questions for my neice.

[From: ] [author: ] [Date: 12-04-01] [Hit: ]
Another movie is included in the table does not affect the median. What are the earnings for this movie?5. Another movie is included in the movies in the table. The range of the data does not change. Give a possible range to describe the earnings of the movie.......
We really can't figure it out, haha.

Here's the table:
Shrek 2: 441 mil.
Nemo: 339 mil
Pirates: 423 mil
Transformers: 318 mil
Spider-Man: 404 mil

3. When Star Wars us included in the movies in table, the median changes to 392 mil. Determine the earnings for this movie.

4. Another movie is included in the table does not affect the median. What are the earnings for this movie?

5. Another movie is included in the movies in the table. The range of the data does not change. Give a possible range to describe the earnings of the movie.

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you got it,

alright lets first start off by putting these movies in order from least to greatest movie earnings:
Transformers: 318 mil
Nemo: 339 mil
Spider-Man: 404 mil
Pirates: 423 mil
Shrek 2: 441 mil.
So it turns out Spider-man is the current median at 404000000 as it is the middle number. Now when Star Wars is added, you then end up with 6 numbers and the new median has to be the average of the two ( which must come out to 392000000 given). Now, we must find what number and 404000000 gives us an average of 392000000 as the new median. It can be done like this:
3)(404000000 + x) / 2 = 392000000
404000000 + x = 784000000 (multiplied both sides by 2)
x = 380,000,000 (subtracted both sides by 404000000)
So the earnings of Star Wars is 380 mil
So as of now, here is the list, in order of the earnings of all the movies so far:
Transformers: 318 mil
Nemo: 339 mil
Star Wars:380 mil
Spider-Man: 404 mil
Pirates: 423 mil
Shrek 2: 441 mil.
4)When another movie is added, the median is not affected which mean the median stays at 392 mil. So, this can only mean that the earnings of this new movie added HAS to be 392 mil because once 392 mil is added to the list, it becomes the middle number in the list of now 7 movies. Here is the new list now:
Transformers: 318 mil
Nemo: 339 mil
Star Wars:380 mil
New movie added from number 4: 392 mil
Spider-Man: 404 mil
Pirates: 423 mil
Shrek 2: 441 mil.
5) The range is the difference between the smallest number and the greatest number. The smallest number is 339 mil (Nemo) and the greatest number is 441 mil (Shrek 2) So any number between 339 mil and 441 mil or 339 mil

Hope this answers your question!
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