As a reduced fraction what is the difference between the value of the mean and the value of the median in the data set below:
8, 11, 3, 5, 9, 7, 12, 13, 5?
does this mean to find the mean and the median and subtract?
because if it does then the answer I got is :
3,5,5,7,8,9,11,12,13
= 73 and 73 is divided by 9 which makes it 8.1 and as a fraction I got
8 1/10
8 1/10 - 8= 1/10
can someone please check for me? Thank you
Yes. You're right.
thank you Ms. Sue
Yes, to find the difference between the value of the mean and the value of the median in the given data set, you can follow these steps:
1. Arrange the data set in ascending order: 3, 5, 5, 7, 8, 9, 11, 12, 13.
2. Find the median by determining the middle value of the data set. Since the data set has an odd number of values (9), the median is the middle value, which is 8.
3. Find the mean by calculating the sum of all the values in the data set and dividing it by the total number of values. The sum of the data set is 3 + 5 + 5 + 7 + 8 + 9 + 11 + 12 + 13 = 73. Dividing 73 by 9 gives you 8.1111... (rounded to 4 decimal places) which can be approximated as 8.1.
4. Convert the mean to a fraction if necessary. Since 8.1 can be written as 8 + 0.1, you can express it as a fraction by writing 0.1 as 1/10. Therefore, the mean can be written as 8 1/10.
5. Finally, subtract the median from the mean: 8 1/10 - 8 = 1/10.
So, the difference between the value of the mean and the value of the median in the given data set is 1/10.