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vladimir1956 [14]
3 years ago
13

HELP ME PLS ASAP!!!!!!!!!!!

Mathematics
1 answer:
mina [271]3 years ago
7 0

Answer:

\sigma^2=73.96 \ kg^2

Step-by-step explanation:

<u>Standard Deviation and Variance</u>

If we have a data set of measured values the variance is defined as the average of the squared differences that each value has from the mean. The formula to calculate the variance is:

\displaystyle \sigma^2=\frac{\sum(x_i-\mu)^2}{n}

Where \mu is the mean of the measured values xi (i running from 1 to n), and n is the total number of values.

\displaystyle \mu=\frac{\sum x_i}{n}

The standard deviation is known by the symbol \sigma and is the square root of the variance. We know the standar deviation of the weight in kg of a group of teenagers to be 8.6 kg. Thus, the variance is

\sigma^2=8.6^2=73.96 \ kg^2

\boxed{\sigma^2=73.96 \ kg^2}

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