Question

find the standard deviation for the group of data items.
14, 15, 16, 17, 18
the standard deviation is
(round to two decimal places as needed.)

Explanation:

Step1: Calculate the mean

$\bar{x} = \frac{14+15+16+17+18}{5} = \frac{80}{5} = 16$

Step2: Compute squared differences

$(14-16)^2=4$, $(15-16)^2=1$, $(16-16)^2=0$, $(17-16)^2=1$, $(18-16)^2=4$

Step3: Find variance

$s^2 = \frac{4+1+0+1+4}{5} = \frac{10}{5} = 2$

Step4: Calculate standard deviation

$s = \sqrt{2} \approx 1.41$

Answer:

1.41