Mm207 Unit 2 Data Set Homework
a. Name of dataset Data Set 14: Coin Weights (grams)
b. What does each observation (row) in the dataset represent? Each observation (row) represents what type of coin was used and pre/post years. Here we have the Indian pennies,wheat pennies, pre 1983,post 1983, Canadian pennies,pre 1964 quarters, post 1964 quarters, and dollar coins.
c. Give the name of one qualitative variable and one quantitative variable from the data set. Note: Your dataset may not have both types (if it does not, please still choose two variables and explain why each are either quantitative or qualitative – the key here is that you understand and can note the difference.) The types of pennies are a qualitative variable. Qualitative data consist of values that can be placed into non-numerical categories.
The weight of the pennies is a quantitative variable. Quantitative data consist of values representing counts or measurements.
d. Choose one of the variables in your dataset and classify it according to the levels of measurement. Explain how you know.
The weight of the penny is a ratio level of measurements. The ratio level of measurement applies to quantitative data in which both intervals and ratios are meaningful. Data at this level have a true zero point. e. Can you identify any systematic errors that might have affected your data? A systematic error because it is caused by an error in the measurement system, an error that consistently affects all measurements. As far as finding any errors in the data there are none that I can see. The only possible errors could happen if the scale measuring the pennies were off at all. That means if the scale starts off at 3.46 grams over then the penny being weighed would be 3.46 grams over. So you would have to take the 3.46 grams off the final wait. We wouldn’t know for sure because it wasn’t posted in data and we weren’t there to actually see
b. What does each observation (row) in the dataset represent? Each observation (row) represents what type of coin was used and pre/post years. Here we have the Indian pennies,wheat pennies, pre 1983,post 1983, Canadian pennies,pre 1964 quarters, post 1964 quarters, and dollar coins.
c. Give the name of one qualitative variable and one quantitative variable from the data set. Note: Your dataset may not have both types (if it does not, please still choose two variables and explain why each are either quantitative or qualitative – the key here is that you understand and can note the difference.) The types of pennies are a qualitative variable. Qualitative data consist of values that can be placed into non-numerical categories.
The weight of the pennies is a quantitative variable. Quantitative data consist of values representing counts or measurements.
d. Choose one of the variables in your dataset and classify it according to the levels of measurement. Explain how you know.
The weight of the penny is a ratio level of measurements. The ratio level of measurement applies to quantitative data in which both intervals and ratios are meaningful. Data at this level have a true zero point. e. Can you identify any systematic errors that might have affected your data? A systematic error because it is caused by an error in the measurement system, an error that consistently affects all measurements. As far as finding any errors in the data there are none that I can see. The only possible errors could happen if the scale measuring the pennies were off at all. That means if the scale starts off at 3.46 grams over then the penny being weighed would be 3.46 grams over. So you would have to take the 3.46 grams off the final wait. We wouldn’t know for sure because it wasn’t posted in data and we weren’t there to actually see