A few days ago
BoboboboboO!

Median and range??

Score:5,6,7,8,9

Frequency:3,4,8,6,4

Question:find the median and range of the following distribution.

thx

Top 4 Answers
A few days ago
Mark S

Favorite Answer

If I understand your problem correctly, the sample population would look like this:

5,5,5,6,6,6,6,7,7,7,7,7,7,7,7,8,8,8,8,8,8,9,9,9,9

Median is the exact middle of the population, which is 7 (there are 12 units to each side of the middle number 7.)

The range of this distribution is 5 to 9 (highest and lowest unit.)

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A few days ago
Anonymous
Median = The middle number e.g 3, 4, 5 so 4 is the median. But if u have even number of integers like lets say 3, 4, 5, 6. Now since u cant find the middle number and dont know the median, so what u have to do is simply take the average of the two middle numbers which in this case are 4 and 5. You add em up and get 9, then divide by 2 since ur takin the average, n u get 4.5. So 4.5 is ur median in this case.

Range = Its simple as abcd. Its simply the difference of the smallest from the largest. When u talk about range, u talk abt the distance of a particular thing. For example, if u wana find the range of 3, 4, 5, 6, 7, 8, 9, 10. You simply subract the smallest (3) from the biggest (10) and get 7. So 7 is ur range in this case. Its that easy.

Rule: Before you attempt these types of questions like finding mean, median, mode etc…ALWAYS write the numbers from smallest to largest (ascending order). It helps significantly.

If it doesnt help…full refund! ๐Ÿ˜‰

I am pretty sure i explained well enough. Now try the problems yourself. Im sure u’ll get em. If not, feel free to contact me! ๐Ÿ™‚ Happy Math!

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A few days ago
cgflann
Median is just the middle number of a set. Therefore, if you add up all the frequencies and divide by 2, you get 12.5

When you get a half number that simply means you need to find the average of the two whole numbers on either side, so in this case it would be the 12th value and the 13th value.

In this set, the 12th value would be 7 and the 13th value would also be 7 so what is the average of 7 and 7? If you guessed 7 then you are right. If for some reason you aren’t sure what is 7+7 divided by 2?

Range= highest value – lowest value

The highest value is 9 and the lowest if 5 so what is the range??

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A few days ago
Peggy K
Okay, the median is the middle figure in a row of numbers. In your list, the median score is 7.

As to the range… not sure. Isn’t this definition in the index of your textbook??

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