what number could be included in the data set 9,12,17,15,13, so that the MEDIAN of the numbers in the set result in 14?
The test for this is:
1:B
2:C
3:D
4:D
5:D
These are the correct answers for the quick check the test mean median and mode and range. I promise i got 80% but these answers are 100% promise.
thank you :)
SENPAI IS RIGHT 100%
thank you senpai I got 100%
you will wind up with 6 numbers, so 14 must be the average of the 3rd and 4th numbers.
Right now, you have 9,12,13,15,17
So you can add any number that is at least 15, which will make (13+15)/2=14 the median.
Kudos （。＾▽＾）👏
Senpai is 100% correct :)
senpai is correct!
To find out the number that could be included in the given data set such that the median of the numbers is 14, we first need to understand how to calculate the median.
The median is the middle value in a set of numbers when they are arranged in increasing order. If there is an odd number of data points, the median is the value at the center. If there is an even number of data points, the median is the average of the two middle values.
Let's arrange the given data set in ascending order: 9, 12, 13, 15, 17.
Since there is an odd number of data points (five in this case), the median will be the value in the center, which is the third number. In this case, the current median is 13.
To achieve a median of 14, we need to replace the current median (13) with 14. This means we can replace any number less than 14 in the set with 14, as long as it maintains the ascending order.
Since 13 is less than 14, we can replace 13 with 14 in the data set, resulting in the set: 9, 12, 14, 15, 17.
Now, the median of this new data set is indeed 14.
Therefore, by replacing the number 13 with 14, we can create a data set where the median is 14.