Guest Session: 1 Question Remaining. Create Account to save progress.
Login
Descriptive Statisticshard
0:00.0

For any dataset X={x1,x2,…,xn}X = \{x_1, x_2, \dots, x_n\}X={x1​,x2​,…,xn​} of size n≥2n \geq 2n≥2 with an unbiased sample standard deviation s>0s > 0s>0 and a mean absolute deviation from the mean MAD=1n∑i=1n∣xi−xˉ∣\text{MAD} = \frac{1}{n} \sum_{i=1}^n |x_i - \bar{x}|MAD=n1​∑i=1n​∣xi​−xˉ∣, which of the following inequalities represents the sharpest upper bound for the ratio MADs\frac{\text{MAD}}{s}sMAD​?