Describe the change to the MEAN if 1 is added to the data set below:
4, 12, 7, 0, 5, 2
The mean of the data set below would be 5. Therefore, if 1 is added to the data set, the new numbers would be:
5, 13, 8, 1, 6, 3
The new mean would be 6.5.
your wrong the data set is 4,12,7,0,5, and 2
Apologies for the misunderstanding. The mean (average) of the given data set, 4, 12, 7, 0, 5, and 2, is calculated by adding up all the numbers and dividing by the total count.
Mean = (4 + 12 + 7 + 0 + 5 + 2) / 6 = 30 / 6 = 5
If 1 is added to the data set, the new numbers would be:
4 + 1, 12 + 1, 7 + 1, 0 + 1, 5 + 1, and 2 + 1
This simplifies to:
5, 13, 8, 1, 6, and 3
The new mean can be calculated as:
New Mean = (5 + 13 + 8 + 1 + 6 + 3) / 6 = 36 / 6 = 6
Therefore, when 1 is added to each value in the data set, the mean changes from 5 to 6.
To calculate the mean of a data set, we sum up all the values and divide by the number of values in the set.
The data set is: 4, 12, 7, 0, 5, 2
To find the mean with the current data set, we sum up all the values:
4 + 12 + 7 + 0 + 5 + 2 = 30
Now, to find the updated mean after adding 1 to the data set, we need to sum up all the new values, which are:
4 + 12 + 7 + 0 + 5 + 2 + 1 = 31
To calculate the new mean, we divide the sum of the new values by the total number of values:
31 / 7 = 4.4286 (rounded to four decimal places)
So, after adding 1 to the data set, the new mean is approximately 4.4286.