Muzzle Velocity The following data represent the muzzle

Chapter 3, Problem 1RE

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QUESTION:

Problem 1RE

Muzzle Velocity The following data represent the muzzle velocity (in meters per second) of rounds fired from a 155-mm gun.

793.8

793.1

792.4

794.0

791.4

792.4

791.7

792.3

789.6

794.4

Source: Christenson. Ronald, and Blackwood. Larry. “Tests for Precision and Accuracy of Multiple Measuring Devices,” Technometrics. 35(4): 411-421,1993.

(a) Compute the sample mean and median muzzle velocity.

(b) Compute the range, sample variance, and sample standard deviation.

Questions & Answers

QUESTION:

Problem 1RE

Muzzle Velocity The following data represent the muzzle velocity (in meters per second) of rounds fired from a 155-mm gun.

793.8

793.1

792.4

794.0

791.4

792.4

791.7

792.3

789.6

794.4

Source: Christenson. Ronald, and Blackwood. Larry. “Tests for Precision and Accuracy of Multiple Measuring Devices,” Technometrics. 35(4): 411-421,1993.

(a) Compute the sample mean and median muzzle velocity.

(b) Compute the range, sample variance, and sample standard deviation.

ANSWER:

Solution

Step 1 of 3

a) We have to compute the sample mean and median from the given data

Mean

                 =7925.1/10

                 =792.51

Median

                      =(10+1)/2 th value

                      =(5.5)th value

                      =792.4

Hence Mean=792.51

Median=792.4


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