Question

A data set consists of $2m^2-1$zeroes, one $-m$and one $m$.

a. Compute $\hat{x}$and $s$for this data.

b. How many standard deviations from the mean is the observation m?

c. Assuming that $m\ge 4$, what percentage of the observations lie within three standard deviation to either side of the mean?

Short answer

im

Step-by-step solution

Part(a) Step 1: Given information

We have been given that data set comprise of $2m^2-1$zeroes, one$-m$and one$m$.

We need to find out mean, that is, $\hat{x}$and standard deviation, that is, $s.$

Part(a) Step 2: Simplify

$x_i$	$f_i$
$0$	$2m^2-1$
$-m$	$1$
$m$	$1$

Mean,