Question

Breakfast cereal (or simply cereal) is a traditional breakfast made from processed cereal grains. It is traditionally eaten as breakfast primarily in Western societies. Warm cereals like porridge and grits have the longest history. Ready-to-eat cold cereals, appearing around the late 19th century, are most often mixed with milk. A chemistry student compiled data about all of her favorite breakfast cereals: Protein Type cold Sales Rank 44 6 Sodium 230 140 0 1 5 24 115 Name Manufacturer Special K Kellogg's Trix General Mills Quaker Oatmeal Quaker Multi-Grain Cheerios General Mills Apple Jacks Kellogg's Honey Nut Cheerios General Mills Wheaties General Mills Frosted Flakes Kellogg's cold hot cold cold Calories 110 110 100 100 110 110 100 110 2 220 125 250 2 3 3 27 20 16 cold 200 46 cold cold 1 200 3 2 180 4 Lucky Charms General Mills cold 110 Consider the variables in this data set. Identify the type of measurement scale: categorical, ordinal, interval, or ratio. Type C for categorical, O for ordinal, I for interval, or R for ratio. (a) Manufacturer A (b) Calories A/ (c) Sodium AJ

Answer 1

Answer

Que	Particular	Answer	Explanation
A.	Manufacture	Categorical	Manufacture have specific Categories.
B	Calories	Ratio	Ratio scale has unique and useful properties. One such feature is that it allows unit conversions like kilogram – calories, gram – calories, etc.
C	Sodium	Interval	The interval scale is quantitative as it can quantify the difference between the values
D	Sales Rank	Ordinal	The ordinal scale shows the relative ranking of the variables
E.	Type	Interval	The interval scale is the preferred scale in Statistics as it helps to assign any numerical values to arbitrary assessment such as feelings, calendar types, etc.

Here, Explanation

Scale of Measurement

Categorical	Categorical Scale Contain the least amount of information. Its also known nominal scale.
Ordinal	Ordinal Scales present more information than nominal scale and are therefore, a higher level of measurement. In ordinal Scales, there is an ordered relationship between the variable's observations.
Interval	Interval Scales present more information than ordinal scales, in that they provide assurance that the differences between value are equal.
Ratio	Ratio scales are the most informative scales and this scales provide rankings, assure equal difference between scale values, and have a true zero point.