Best Answer

The median for this set of numbers is 87.5.

The median of a set of numbers is the number that falls in the middle of all the numbers when they have been arranged in ranking order.

To make this easier one needs to arrange the set of numbers from smallest to largest (rank-order)

80 80 80 80 95 95 100 100.

Since this group of numbers has an even number of sets we have to take the two middle sets of numbers (80 and 95) and add them together and then divide by two (80+95)/2= 87.5. This gives us the median for this set of numbers of 87.5.

As many might already know to find the median for an old set of numbers, one would arrange (rank-order) the set of numbers from the smallest to largest. Next, you would locate the position of the middle score; this number is the median. There is a small Formula One can use if your working with a "large" set of numbers for find out exactly where the middle position is at (n+1)/2 (note: this formula works for an even set of numbers as well but you will get a decimal point number, which will fall in between the two sets of numbers that need to be added together). The letter "n" represent the total set of numbers that we are currently looking at. So for example, if we if we were to take

80 80 80 80 95 95 100 (notice I left out the other 100 from the original set of numbers in the question and I already arranged them in ranking order) now we are only working with seven sets of numbers instead of eight.

Now to figure out the median for these sets of numbers we would take (n+1)/2 and plug in the number 7 for (n). (7+1)/2= 8/2=4. The number 4 now tells us exactly what position in the group of numbers we will find the median in; the 4th number in line from the left. In the 4th position we find the number 80; so for my example the median would be 80.

Reference: Discovering Statistics by Andy Fields

🙏

🤨

😮

Study guides

Q: What is the median of 100 80 80 80 95 80 95 100?

Write your answer...

Submit

Related questions

Not by itself. In the sequence 80, 82, 95, 100, 106... 95 is the median.

90

90

85 is the median score.

Median of the set = arithmetic mean of 75 and 85 = 80

The range is 20, the median is 80, and the mode is 80.

The mean is 85.5 The median is 88.5 The mode is 90

(80 + 85 + 100 + 95 + 95 + 95) = 550/6 = 91.6 recurring (that is, 91.6666...)

80 to 100

The median is 84.

It is 80, the middle number when they are arranged in order.

The median is 80, the middle number when they are listed in order.

When the data is arranged in ascending order, the middle numbers are 88 and 90. Take the mean of these, which is 89, as the median.

The median of those numbers is 90.

It is 85, the middle value, between 80 and 90.

76 as a percentage of 80 = 100*76/80 = 95%

85

The median is 87.

95

88

It is 90, the value halfway between the two middle values.

The median for 85, 93, 95, 96, 98, 99, 100, 100 is 97. The number in the middle is 96, and 98. Add - 96 + 98 = 194 Divide - 194 ÷ 2 = 97

90 and 95

80 + 90 + 100 + 110 = 380/4 = 95

It is 89