Find the median and the mean for the data set below.
5.4 2.0 6.8 3.1 2.9 4.7 2.1 5.0 1.9 3.4
1.9. 2.0, 2.1, 2.9, 3.1, 3.4, 4.7, 5.0, 5.4, 6.8
The median is the average between the two middle numbers.
The mean is the sum of the numbers divided by 10.
To find the median and the mean for the given data set, follow these steps:
Step 1: Arrange the data set in ascending order:
1.9 2.0 2.1 2.9 3.1 3.4 4.7 5.0 5.4 6.8
Step 2: Find the median:
The median is the middle value of the data set. Since we have an even number of values (10), the median is the average of the two middle values. In this case, the two middle values are 3.1 and 3.4. Therefore, the median is (3.1 + 3.4) / 2 = 3.25.
Step 3: Find the mean:
The mean is calculated by adding up all the values in the data set and then dividing by the total number of values. Adding up the values, we get: 1.9 + 2.0 + 2.1 + 2.9 + 3.1 + 3.4 + 4.7 + 5.0 + 5.4 + 6.8 = 36.3. Since we have 10 values, the mean is 36.3 / 10 = 3.63.
Therefore, the median of the data set is 3.25 and the mean is 3.63.