Find the variance of a group of data whose standard deviation is 12.34 to the nearest whole number.

Answer Details

To find the variance of a group of data, we need to understand the relationship between variance and standard deviation. The standard deviation is simply the square root of the variance.

If the standard deviation of the data is given as 12.34, we can find the variance by squaring the standard deviation:

Variance = (Standard Deviation)²

Variance = (12.34)²

Now let's calculate this:

Variance = 12.34 × 12.34 = 152.2756

Therefore, the variance, rounded to the nearest whole number, is 152.