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Math , pleaaaase

You are given the results of measurements of sizes of a crushed stone for road
construction. The technical requirement is the following: The mean size of the stones must be in the interval [33-36] mm and standard deviation must be smaller than 6 mm. Will this batch pass the technical control?

Math Pleaaaase You Are Given The Results Of Measurements Of Sizes Of A Crushed Stone For Road Construction The Technical Requirement Is The Following The Mean S class=

Sagot :

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

[tex]M = \frac{31+32+38+34+45+41+24}{7} = 35[/tex]

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

[tex]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[/tex]

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

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