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valentinak56 [21]
3 years ago
8

PLSS HELP !!!A data set has a standard deviation of 2.5. The element 16 is an element of a data set, with a z-score of 2.4. What

is the mean of the data set?
Mathematics
1 answer:
Artist 52 [7]3 years ago
3 0

Answer:

<h2>10</h2>

Step-by-step explanation:

Given the following parameters

standard deviation σ = 2.5

z-score Z = 2.4

observed value x = 16

Mean of the dataset μ = ?

Using the formula for calculating the z-score as shown to calculate the mean

Z = \frac{x - \mu}{\sigma}

On substituting the values;

2.4 = \frac{16-\mu}{2.5} \\2.4 * 2.5 = 16-\mu\\6 = 16-\mu\\\mu = 16-6\\\mu = 10

The mean of the dataset is 10

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