The mean of a set of 51 data points is 3.04. If a data value of 16 were added to the data set, what would be the approximate value of the new mean?
51 one data points with an average of 3.04 meaning you could assume every data point is 3.04. Multiply that by the 51 entries, add 16 to that number then divide by 52
thanks harry :)
To find the approximate value of the new mean, we need to consider the additional data value and its effect on the mean.
Here's how you can calculate it:
Step 1: Calculate the sum of the existing data points.
- The existing mean (3.04) multiplied by the number of data points (51) will give you the sum of the existing data points.
- Sum of existing data points = Mean × Number of data points = 3.04 × 51
Step 2: Add the new data value to the sum of the existing data points.
- The new sum of the data points = Sum of existing data points + New data value = (3.04 × 51) + 16
Step 3: Calculate the new mean.
- Divide the new sum of the data points by the number of data points (including the new value).
- New mean = New sum of the data points ÷ (Number of data points + 1) = [(3.04 × 51) + 16] ÷ (51 + 1)
By following these steps, you can calculate the approximate value of the new mean.