The table shows the number of miles that a group of friends ran in their first week training to run a marathon. In the second week, they each add 25 miles to their training. What are the mean, median, mode, and range of times for the second week?
Runner Distance (miles)
Sarah 100
Joey 110
Maria 80
Martin 90
Elly 100
Bruh it's hard they just needed help, damn.m
Mean| 121
Median| 125
Mode| 125
Range| 30
Add 25 to each point of data, then add all the values, and divide the product by the number of values (5) to get the mean.
Arrange the data from least to greatest. The number in the middle is the median.
The mode is the number that occurs the most.
The range is the largest number - smallest number. The range is 30.
Hope this helps!!!
To find the mean, median, mode, and range of the distances for the second week, you will need to first calculate the total distance for each runner in the second week.
For the second week, each runner adds 25 miles to their training. So, you can consider their distances for the second week as their distances from the first week plus 25.
Here is the updated table for the second week with their distances:
Runner Distance (miles)
Sarah 100 + 25 = 125
Joey 110 + 25 = 135
Maria 80 + 25 = 105
Martin 90 + 25 = 115
Elly 100 + 25 = 125
Now that we have calculated the distances for the second week, we can proceed to find the mean, median, mode, and range.
Mean: To find the mean, you add up all the distances and divide by the number of runners. Let's calculate it using the updated distances:
Mean = (125 + 135 + 105 + 115 + 125) / 5 = 605 / 5 = 121
So, the mean distance for the second week is 121 miles.
Median: To find the median, you arrange the distances in ascending order and find the middle value. If there is an even number of distances, you take the average of the two middle values. Let's arrange the distances in ascending order:
105, 115, 125, 125, 135
The middle value(s) are 125 and 125. As there are two middle values, we take their average:
Median = (125 + 125) / 2 = 250 / 2 = 125
So, the median distance for the second week is 125 miles.
Mode: To find the mode, you identify the distance that occurs most frequently. In this case, there is no distance that occurs more than once, so there is no mode.
Range: To find the range, you subtract the smallest distance from the largest distance. Let's find the smallest and largest distances:
Smallest distance = 105
Largest distance = 135
Range = Largest distance - Smallest distance = 135 - 105 = 30
So, the range for the second week is 30 miles.
We do not do your homework for you. Although it might take more effort to do the work on your own, you will profit more from your effort. We will be happy to evaluate your work though.
To start, add 25 to each value. Work it from there.