Question

A soft drink bottling company fills and ships soda in plastic bottles with a target volume of 354 milliliters. The filling machinery does not deliver a perfectly consistent volume of liquid to each bottle, and the three quartiles for the fill volume are Q1 = 351, Q2 = 355. and Q1 = 357. A fill volume of 353 ml. is considered low. Would a fill volume of 353 ml. be considered an outlier?
A. No
B. Yes

Answer 1

Answer:

No

Step-by-step explanation:

Given the following quartile values :

Q1 = 351, Q2 = 355. and Q3 = 357

Values below : Q1 - 1.5*IQR

Values above : Q3 + 1.5*IQR

IQR = Q3 - Q1

IQR = 357 - 351 = 6

THEREFORE ;

Lower boundary = 351 - (1.5 * 6) = 351 - 9 = 342

Upper boundary : 357 + (1.5 * 6) = 357 + 9 = 366

Hence, any value below the lower boundary value or above the upper boundary value would be considered an Outlier. Only values which lie within the lower and upper boundary values are not considered as outliers.

Therefore, a fill volume of 353 mL will not be considered an Outlier as it lies in between the lower and upper boundary values.