Question

In: Statistics and Probability

Given the following times (in seconds) to process hot-rolled steel are observed for a random sample...

Given the following times (in seconds) to process hot-rolled steel are observed for a random sample of size 12 as follows:

1 2 3 4 5 6 7 8 9 10 11 12
5.4 6.2 7.9 4.8 7.5 6.2 5.5 4.5 7.2 6.2 5.3 6.8

a/ Explain the difference between accuracy and precision of measurements.

b/ Explain the differences between the mean, median, and mode of the processing times.

c/ Compute the range, variance, and standard deviation of the processing times, and interpret them.

Solutions

Expert Solution

difference between accuracy and precision of measurements.

- Accuracy refers to the closeness of measurements to the correct or accepted value of the quantity measured.

- Precision refers to the closeness of a set of measurements of the same quantity made in the same way.

b/ Explain the differences between the mean, median, and mode of the processing times.

Mean is the average number of processing time in the give 12 data. 6.1 is the average time of the processing time.

add up all the numbers then divide by how many there are

Median is the middle value of the processing time.

Mode the number that occurs most often

Formula for calculating in excel:

c/ Compute the range, variance, and standard deviation of the processing times, and interpret them.

Formula Ref:


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