The median is the middle number of the data set. If there is an even number of quantities in the data set, take the average of the middle two numbers.

Here, there are 8 numbers, so (18 + 20)/2 = 19.

The mean, or average, is the sum of the integers divided by number of integers in the set: (20 + 35 + 7 + 12 + 73 + 12 + 18 + 31) / 8 = 26

First, pick a distance, preferably one that is divisible by 400 and 600. As an example, we will use 1,200. If the distance is 1,200, then it took 2 hours to get to New York City and 3 hours to get back to San Francisco. So, the plane traveled 2,400 miles in 5 hours. The average speed is simply 2,400 miles divided by 5 hours, which is 480 miles per hour.

Note that:

The arithmetic mean of the 100 data points encompassing A and B =

(total data of Sample Set A + total data of Sample Set B)/100

We have Mean of Sample Set A = 50, or:

(total of Sample Set A) / 25 = 50

And we have Mean of Sample Set B = 100, or:

(total of Sample Set B) / 75 = 100

We get denominators of 100 by dividing both of the equations:

Divide \[(total of Sample Set A) / 25 = 50\] by 4:

(total of Sample Set A) / 100 = 50/4 = 25/2

Multiply \[(total of Sample Set B)/75 = 100\] by 3/4:

(total of Sample Set B)/100 = 75

Now add the two equations together:

(total data of Sample Set A + total data of Sample Set B)/100

= 75 + 25/2 > 80

All of the multiples of 5 from 5 to 50 are

.

The total of all of them is 275.

Then the mean will be 27.5

.

The answer is .

First organize the number set 1, 3, 3, 4, 6, 8, 11, 12, 15

a = range = 14

b = mean = 7

c = median = 6

d = mode = 3

so the order is mode<median<mean<range

or d < c < b < a.

The answer is c < b < d < a.

When we arrange the number set we see: 8, 17, 20, 31, 51, 51, 102

a = range = 94

b = mean = 40

c = median = 31

d = mode = 51

median < mean < mode < range so c < b < d < a

The sum of the first ten scores is 1,200 and the sum of the next 30 scores is 3,000. To take the weighted average of all scores, divide the sum of all scores (4,200) by the total number of scores (40), which would equal 105.

To find the answer, we need to know the total words and the total number of hours involved.

The first is easy: 15000 + 200000 + 10000 = 225000 words

To ascertain the number of hours, we have to look at each translator separately. Although there are several ways to do this, let's consider it this way:

Translator 1 can translate at 500 words per 20 minutes OR 1500 words per hour.

Translator 2 can translate at 1250 words per half hour OR 2500 words per hour.

Translator 3 can translate at 250 words per 15 minutes OR 1000 words per hour.

Therefore, we know each translator took the following amount of time:

Translator 1: 15000 / 1500 = 10 hours

Translator 2: 200000 / 2500 = 80 hours

Translator 3: 10000 / 1000 = 10 hours

The total number of hours was therefore 10 + 80 + 10 = 100 hours.

The average rate was 225000 words/100 hours, or 2250 words per hour.

The arithmetic mean is the average of the sum of a set of numbers divided by the total number of numbers in the set. This is not to be confused with median or mode.

In Column A, the mean of 5.66 is obtained when the sum (17) is divided by the number of values in the set (3).

In Column B, the mean of 7 is obtained when 21 is divided by 3. Because 7 is greater than 5.66, Column B is greater. The answer is Column B.

Translate the question into a series of equations:

J + S = 130; J + S + A = 215; S + A = 137

Although there are several ways of approaching this, let us choose the path that is most direct. Given that J, S, A are all involved in the second equation, we can isolate J if we eliminate S and A - which can be done by using the data we have in the third equation. Since S + A = 137, we can rewrite J + S + A = 215 as:

J + 137 = 215.

Now, we only need to solve for J:

J = 215 - 137

J = 78 inches.