Compute the arithmetic mean and median

Reference no: EM13142510

A quality characteristic of interest for a tea-bag-filling process is the weight of the tea in the individual bags. If the bags are under filled, two problems arise. First, customers may not be able to brew the tea to be as strong as they wish. Second, the company may be in violation of the truth-in-labeling laws. In this example, the label weight on the package indicates that, on average, there are 3.40 grams of tea in a bag. If the average amount of tea in a bag exceeds the label weight, the company is giving away product. Getting an exact amount of tea in a bag is problematic because of variation in the temperature and humidity inside the factory, differences in the density of the tea, and the extremely fast filling operation of the machine (approximately 215 bags a minute). The following table provides the weight in grams of a sample of 50 bags produced in one hour by a single machine:

2.95 3.70 3.42 3.40 3.53 2.54 3.54 3.45 3.52 3.81
3.57 3.40 3.83 2.54 3.55 2.62 3.66 3.46 2.64 3.51
3.67 3.40 3.47 3.61 2.53 3.32 2.67 3.29 3.49 3.55
3.77 3.57 3.42 3.58 3.68 3.50 3.32 3.50 3.53 2.58
3.61 3.45 3.44 3.25 3.56 3.63 3.50 2.57 3.67 3.36

a. Compute the arithmetic mean and median.
b. Compute the first quartile and third quartile.
c. Compute the range, interquartile range, variance, standard deviation, and coefficient of variation.
d. Interpret the measures of central tendency within the context of this problem. Why should the company producing the tea bags be concerned about the central tendency?
e. Interpret the measures of variation within the context of this problem. Why should the company producing the tea bags be concerned about variation?

Reference no: EM13142510

Questions Cloud

What is the molar mass of the compound : If 1.56g of a gas has a volume of 1.00 L at .984 atm and 50 degrees Celcius, what is the molar mass of the compound

What are tax consequences to sheldon and hawk corporation : Hawk Corporation redeems 75 shares of Sheldon’s stock for $75,000. Sheldon had acquired all of his shares 10 years ago at a cost of $100 per share. What are the tax consequences to Sheldon and Hawk Corporation as a result of the stock redemption?

Determine cost recovery deduction of automobile : Hans purchased a new passenger automobile on August 17, 2009, for $40,000. During the year the car was used 40% for business and 60% for personal use. Determine his cost recovery deduction for the car for 2009.

How many moles contain each of the following : How many moles contain each of the following? 3.75 x 10^24 molecules CO2

Compute the arithmetic mean and median : The following table provides the weight in grams of a sample of 50 bags produced in one hour by a single machine: Compute the arithmetic mean and median.

What amount is reportable as interest income : Elsie, Elmer's wife, did not own any of the Virginiana Mutual Fund shares, but she did receive $175 in interest on a savings account at the Moss National Bank and $1,475 in interest on California Municipal Bonds. Elmer and Elsie filed a joint inco..

Total dollar amount of discount or premium amortization : Calculate the total dollar amount of discount or premium amortization during the first year (5/1/04 through 4/30/05) these bonds were outstanding. (Show computations and round to the nearest dollar.)

What is the final volume : An oxygen tank contains oxygen at a pressure of 70 kPa. When the pressure drops to 36 kPa, the temperature increases from 300 K to 350 K. If the initial volume is 9 L, what is the final volume?

What is amount of outstanding checks at the end of november : In the month of November, Hickcox Company Inc. wrote checks in the amount of $9,072. In December, checks in the amount of $11,987 were written. What is amount of outstanding checks at the end of November?

User Account

All Pages