A pickle producer currently purchases lids for its jars from a certain manufacturing company. The lids must have a diameter of approximately  3.5  inches, and because the lids must fit securely, the pickle producer requires that the diameter measurements of the lids have a small standard deviation. The pickle producer's quality control department has constructed the following histogram, based on a sample of  32  lids.     20 15 10

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A pickle producer currently purchases lids for its jars from a certain manufacturing company. The lids must have a diameter of approximately 

3.5

 inches, and because the lids must fit securely, the pickle producer requires that the diameter measurements of the lids have a small standard deviation. The pickle producer's quality control department has constructed the following histogram, based on a sample of 

32

 lids.

 

 
20
15
10
5
0
Frequency
2
16
10
4
 
3.46
3.48
3.5
3.52
3.54
Diameter of lid (in inches)
 

Based on this histogram, estimate the standard deviation of the sample of 

32 diameters.

Carry your intermediate computations to at least four decimal places, and round your answer to at least three decimal places.

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