Question

Math , pleaaaase

Answer 1

Answer:

The standard deviation is above 6 mm, which means that this batch does not pass the technical control.

Step-by-step explanation:

Mean of the batch:

The mean of the batch is the sum of all values divided by the number of items. So

$M = \frac{31+32+38+34+45+41+24}{7} = 35$

Mean in the desired interval.

Standard deviation:

Square root of the sum of the difference squared between each term and the mean, divided by the number of itens. So

$S = \sqrt{\frac{(31-35)^2+(32-35)^2+(38-35)^2+(34-35)^2+(45-35)^2+(41-35)^2+(24-35)^2}{7}} = 6.46$

The standard deviation is above 6 mm, which means that this batch does not pass the technical control.