# Using the following data set, which values have a z-score over 2? 144, 160, 154, 162, 179, 148, 197, 177, 166, 173, 154, 184, 183, 132, 157, 129, 151, 162, 209, 159, 150, 190, 175, 136, 117

Oct 30, 2015

Refer Explanation Section

#### Explanation:

The steps involved in the calculation of $z$ values are as follows:
Calculate mean of the series.
Calculate the Standard Deviation of the series.
Finally calculate the $z$ values for each $x$ values using the formula $z = \sum \frac{x - \overline{x}}{\sigma}$

According to the calculation the $z$ value of $209$ is greater than $2$
Refer the table given below -