Question

Consider the data set: 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20. Which value should be added to this data set to achieve a mean of 137? A value of what should be added to the data set to produce a mean of 13?

1.125
2.137
3.147
4.157

Answer 1

To achieve a mean of 137 in a data set, a value of 1489 should be added.

Step-by-step explanation:

To find the value that should be added to the data set to achieve a mean of 137, we can use the formula for the mean:

mean = sum of all values / number of values

In this case, the sum of the existing data set is 155, and there are 11 values.

So, the current mean is 155 / 11 = 14.09.
To achieve a mean of 137, we need to add a value that, when added to the sum of the existing data set, results in a sum of 137 * 12 = 1644.

Subtracting the current sum (155) from this value gives us the value to be added: 1644 - 155 = 1489.