Standard deviation sign and the mean sign

Mathematics

1 answer:

Tresset [83]2 years ago

6 0

Answer:

standard deviation sign is σ

mean sign is x , and sometimes it have a hyphen directly above x.

Step-by-step explanation:

<h3> Greetings!</h3>

<h3>standard deviation </h3>

In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.

It is the sum (total) of all the values in a set of data, such as numbers or measurements, divided by the number of values on the list. To find the mean, add up all the values in the set. Then divide the sum by how many values there are.

<h3>summation</h3>

The symbol ∑ indicates summation and is used as a shorthand notation for the sum of terms that follow a pattern.

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The distance that a Tesla model 3 can travel is normally distributed with a mean of 260 miles and a standard deviation of 25 mil

Alja [10]

Answer:

2.28% probability that a randomly selected Tesla model 3 can travel more than 310 miles

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 260, \sigma = 25$