Question

select the following metrics that are measures of center
□ $sigma^{2}$
□ $z - score$
□ $overline{x}$
□ $sigma$
□ $iqr$
□ $mu$
□ median
□ mode
□ $s^{2}$
□ $s$

Explanation:

Step1: Recall measure - of - center definitions

Measures of center describe the central tendency of a data - set. Mean ($\bar{x}$ for sample mean and $\mu$ for population mean), median, and mode are measures of center.

Step2: Analyze each option

• $\sigma^{2}$ (population variance) and $s^{2}$ (sample variance) measure spread, not center.
• $\sigma$ (population standard deviation) and $s$ (sample standard deviation) measure spread.
• IQR (inter - quartile range) measures spread.
• $z$ - score measures the number of standard deviations a data point is from the mean, not a measure of center.

Answer:

$\bar{x}$, $\mu$, median, mode