A nail manufacturer throws out nails with lengths that are not within 0.05 inch of the mean of the batch. The lengths (in inches) of the nails in a batch are 0.42 0.53 0.55 0.48 and 0.51 which nails should be thrown out

0.42 & 0.55

Step-by-step explanation:

Mean length = 0.42 + 0.53 + 0.55 + 0.48 + 0.51/5

= 0.498

0.42 - 0.498 = - 0.078‬

0.53 - 0.498 = 0.032‬

0.55 - 0.498 = 0.052‬

0.48 - 0.498 = - 0.018‬

0.51 - 0.498 = 0.012‬

The nails to be thrown out are:

0.42 & 0.55 because their deviations from the mean are not within 0.05 inch