want answers for all parts. 9) Circle which measurement scale can at most be ass

Question

want answers for all parts.

9) Circle which measurement scale can at most be assumed of the scores, given only the information Got provided (only one is the correct answer), when: a) we calculate a mean for a set of scores? nominal ordinal nterval we assign a value of 1 to people who buy Toyota vehitcles, a 2 to people who buy Ford vehicles, and a3 t people who buy other vehicles? b) nominal oninal interval c) we state that one score is "three times higher than" the score of another nominal ordinal interval we sort a group of fifteen students from tallest to shortest, and then we assi the top third, 2 to each in the middle third, and 3 to each in the bottom third? d) nominal ordinal interval we assign a value of 1 to people who prefer pizza, 2 to people who prefer sandwiches, and 3 to people who prefer salads? e) nominal ordinal interval ) we measure the number of points each student earned on their math quiz? ordinal interval ratio nominal g) we measure the time (in seconds) each student took to complete their math quiz? interval ratio nominal ordinal h) we calculate the median for a set of scores? interval ratio nominal ordinal

Explanation / Answer

a) Ratio

Since mean of scores can take 0 value too, this is and example of Ratio scale.

b) Nominal

Here the variables are just names, and the number we are assigning do not follow any order and hence the scale in this case is nominal

c) Ratio

d) Ordinal

Here the numbers we are providing maintains the significance of order of heights of students and hence the scale is Ordinal

e) Nominal

In this case 0 ,1 and 2 do not mean any difference in variables and are just random dummy variables. Hence this scale is Nominal

f) Interval

In this case only the amount of difference from 0 is significant, hence this is an interval scale

g) Ratio

These time values can be divided and thus expressing how faster a student is solving the quiz.

h) Ordinal

Since median is calculated with keeping the orders of values, it is an ordinal scale.

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