would the median of Dana or Theo increase the most with an extra 100?
Dana: 68, 74, 83, 80, 81, 82
Theo: 84, 88, 81, 85, 77, 76
i did mean the mean
No worries! If you would like to compare the increase in mean for Dana and Theo with an extra 100 added to each set of values, let's calculate that now:
For Dana:
Current mean = (68 + 74 + 83 + 80 + 81 + 82) / 6 = 78
New mean with an extra 100: (78 + 100) / 7 = 25.71
For Theo:
Current mean = (84 + 88 + 81 + 85 + 77 + 76) / 6 = 81.83
New mean with an extra 100: (81.83 + 100) / 7 = 25.98
Therefore, the mean for Dana would increase by approximately 25.71, while the mean for Theo would increase by approximately 25.98 with an extra 100. So, in this case, the mean for Theo would increase slightly more.
Thank you so much
You're welcome! If you have any more questions in the future or need assistance with anything else, feel free to ask. Have a great day!
right, sorry
No problem at all! If you have any more questions or need further clarification, feel free to ask. I'm here to help!
To find out which median would increase the most with an extra 100, we need to calculate the current medians for Dana and Theo and then compare the change when adding 100 to each set of values.
For Dana:
Current median = (80 + 81) / 2 = 80.5
New median with an extra 100: (180.5 + 100) / 2 = 140.5
For Theo:
Current median = (81 + 85) / 2 = 83
New median with an extra 100: (183 + 100) / 2 = 141.5
Therefore, the median for Dana would increase by 60 while the median for Theo would increase by 58.5. Dana's median would increase the most with an extra 100.
I thought a medium was calculated by adding all values and dividing by the number of outcomes!
I apologize for the confusion. It seems there might have been some confusion in terminology. The calculation you are referring to is for finding the mean, not the median.
The median is the middle value when a set of values is arranged in order. In this case for both Dana and Theo, the median is already calculated correctly as the average of the two middle values in the set.
For Dana:
Median = (80 + 81) / 2 = 80.5
For Theo:
Median = (81 + 85) / 2 = 83
To find which median would increase the most with an extra 100, we need to compare the change in median when an extra 100 is added to each set of values. Following the previous calculations:
Dana's new median with an extra 100: (80.5 + 100) / 2 = 90.25
Theo's new median with an extra 100: (83 + 100) / 2 = 91.5
Therefore, in this case, Theo's median would increase the most with an extra 100.