Part 3 of 5 Calculate the Pearson's index of skewness. (Round the mean, median and standard deviation to one decimal place and Pearson's index to two decimal places.) \[ \mathrm{PI}=0.27^{9} \] It can be concluded that the distribution is \( \square \) not significantly skewed. Try one last time Skip Part Recheck Save For Later Submit

To calculate Pearson's index of skewness, you need the following formula: \[ \mathrm{PI} = \frac{3(\text{Mean} - \text{Median})}{\text{Standard Deviation}} \] First, calculate the mean, median, and standard deviation based on your data, rounding each to one decimal place. Then, plug those numbers into the formula. For instance, if your calculations yield a mean of 10.5, a median of 10.0, and a standard deviation of 2.5, your calculation will be: \[ \mathrm{PI} = \frac{3(10.5 - 10.0)}{2.5} = \frac{3(0.5)}{2.5} = \frac{1.5}{2.5} = 0.6 \] Once calculated, if the index is between -0.5 and 0.5, you can conclude that the distribution is not significantly skewed. Don't forget to double-check the figures before submitting! If the values skew too far off these limits, the distribution could indicate some skewness, so always keep a watchful eye on those calculations!