a missing data value from a set of data has a z - score of -2.1. fred already calculated the mean and…

a missing data value from a set of data has a z - score of -2.1. fred already calculated the mean and standard deviation to be $mu = 43$ and $sigma = 2$. what was the missing data value? round the answer to the nearest whole number.\n39\n41\n45\n47

a missing data value from a set of data has a z - score of -2.1. fred already calculated the mean and standard deviation to be $mu = 43$ and $sigma = 2$. what was the missing data value? round the answer to the nearest whole number.\n39\n41\n45\n47

Answer

Answer:

A. 39

Explanation:

Step1: Recall z - score formula

The z - score formula is $z=\frac{x-\mu}{\sigma}$, where $z$ is the z - score, $x$ is the data value, $\mu$ is the mean, and $\sigma$ is the standard deviation.

Step2: Rearrange the formula for $x$

We can rewrite the formula as $x = z\sigma+\mu$.

Step3: Substitute given values

Given $z=- 2.1$, $\mu = 43$, and $\sigma = 2$. Substitute these values into the formula: $x=-2.1\times2 + 43$.

Step4: Calculate the value of $x$

First, calculate $-2.1\times2=-4.2$. Then, $x=-4.2 + 43=38.8$.

Step5: Round to the nearest whole number

Rounding 38.8 to the nearest whole number gives 39.