The weekly take-home pay (in dollars) for 20 graduate teaching assistants at University Z is as follows:
500.75,217.43,488.25,405.78
485.46,495.48,370.75,435.40
479.65,482.56,470.28,489.90
382.50,500.75,465.32,481.25
506.43,225.50,504.38,179.25
Find the mean,median, and midrange weekly take-home pay for the assistants.
http://www.chacha.com/question/how-do-i-find-the-midrange-in-math
http://www.purplemath.com/modules/meanmode.htm
To find the mean, median, and midrange of the weekly take-home pay for the teaching assistants, you will need to follow these steps:
1. Mean: The mean is the average value of a set of numbers. To find the mean, you need to add up all the values and then divide by the number of values.
2. Median: The median is the middle value when the numbers are arranged in ascending or descending order. To find the median, you need to arrange the numbers in order, and if there are an odd number of values, the median is the middle number. If there is an even number of values, the median is the average of the two middle numbers.
3. Midrange: The midrange is the average of the highest and lowest values in the set. To find the midrange, you need to determine the highest and lowest values and then calculate the average.
Let's go through each step to find the mean, median, and midrange:
Step 1: Find the mean:
To find the mean, add up all the values and then divide by the total number of values.
Mean = (500.75 + 217.43 + 488.25 + 405.78 + 485.46 + 495.48 + 370.75 + 435.40 + 479.65 + 482.56 + 470.28 + 489.90 + 382.50 + 500.75 + 465.32 + 481.25 + 506.43 + 225.50 + 504.38 + 179.25) / 20
Mean = 8434.83 / 20
Mean = 421.74
So, the mean weekly take-home pay is $421.74.
Step 2: Find the median:
To find the median, we need to arrange the values in ascending order.
179.25, 217.43, 225.50, 370.75, 382.50, 405.78, 465.32, 470.28, 479.65, 481.25, 485.46, 488.25, 489.90, 495.48, 500.75, 500.75, 504.38, 506.43
There are 20 values, which means there is no single middle value. The median is the average of the two middle values.
Median = (481.25 + 485.46) / 2
Median = 966.71 / 2
Median = 483.36
So, the median weekly take-home pay is $483.36.
Step 3: Find the midrange:
To find the midrange, we need to determine the highest and lowest values in the set.
Highest value = 506.43
Lowest value = 179.25
Midrange = (Highest value + Lowest value) / 2
Midrange = (506.43 + 179.25) / 2
Midrange = 685.68 / 2
Midrange = 342.84
So, the midrange weekly take-home pay is $342.84.
Therefore, the mean, median, and midrange weekly take-home pay for the assistants are $421.74, $483.36, and $342.84, respectively.