Let `x_1, x_2, x_3, x_4, .............x_n` be n observation and let `barx` be their arithmetic mean and `sigma^2` be their variance.
Statement-1: Variance of observations `2x_1, 2x_2, 2x_3, ........., 2x_n` is `4sigma^2`
Statement-2: Arithmetic mean of `2x_1, 2x_2, 2x_3,.........., 2x_n` is `4barx`

Let `x_1, x_2, x_3, x_4, .............x_n` be n observation and let `barx` be their arithmetic mean and `sigma^2` be their variance.

Statement-1: Variance of observations `2x_1, 2x_2, 2x_3, ........., 2x_n` is `4sigma^2`

Statement-2: Arithmetic mean of `2x_1, 2x_2, 2x_3,.........., 2x_n` is `4barx`

Statement-1 is true,

statement-2 is true and statement-2 is NOT the correct explanation for statement-1

Statement-1 is true, statement-2 is true

Statement-1 is false, statement-2 is true

Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-1

Let `x_1, x_2, x_3, x_4, .............x_n` be n observation and let `barx` be their arithmetic mean and `sigma^2` be their variance.Statement-1: Variance of observations `2x_1, 2x_2, 2x_3, ........., 2x_n` is `4sigma^2`Statement-2: Arithmetic mean of `2x_1, 2x_2, 2x_3,.........., 2x_n` is `4barx`