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# Graded Discussion Board no:1 for STA301 Statistics and Probability......closing date (Tuesday, May 03, 2016)

Question: Which of the measurement scale is more suitable in the following scenarios?

1. Religion can be categorized as Jewish, Muslim, Christian, Buddhist and “Other”.
2. The people are categorized according to their level of education.
3. The weight of person is recorded 120 pounds.
4. A teacher rank the students according to their oral language skills
5. For which measurement scale true zero is not considered.

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### Replies to This Discussion

but i think k last walay main Nominal ki bajay interval ay ga becoz question is For which measurement scale true zero is not considered and in interval scale  it equal units of measurement on all parts of the scale but no true zero what u say?

Question: Which of the measurement scale is more suitable in the following scenarios?
1. Religion can be categorized as Jewish, Muslim, Christian, Buddhist and “Other”.
2. The people are categorized according to their level of education.
3. The weight of person is recorded 120 pounds.
4. A teacher rank the students according to their oral language skills
5. For which measurement scale true zero is not considered.

Definition
RATIO SCALE It is a special kind of an interval scale where the sale of measurement has a true zero point as its origin. The ratio scale is used to measure weight, volume, distance, money, etc. The, key to differentiating interval and ratio scale is that the zero point is meaningful for ratio scale.
Solution
The measurement Scale is more suitable in the following scenarios is that “The Weight of person is recorded 120 pounds “because The ratio scale is used to measure weight, volume, distance, money, etc Ratio scales give us the ultimate–order, interval values, plus the ability to calculate ratios since a “true zero” can be defined

1. Religion can be categorized as Jewish, Muslim, Christian, Buddhist and “Other”.
Ans: NOMINAL SCALE
2. The people are categorized according to their level of education.
Ans: ORDINAL OR RANKING SCALE
3. The weight of person is recorded 120 pounds.
Ans: RATIO SCALE
4. A teacher rank the students according to their oral language skills
Ans: ORDINAL OR RANKING SCALE
5. For which measurement scale true zero is not considered.
Ans: INTERVAL SCALE

1. Religion can be categorized as Jewish, Muslim, Christian, Buddhist and “Other”.
Ans: NOMINAL SCALE
2. The people are categorized according to their level of education.
Ans: ORDINAL OR RANKING SCALE
3. The weight of person is recorded 120 pounds.
Ans: RATIO SCALE
4. A teacher rank the students according to their oral language skills
Ans: ORDINAL OR RANKING SCALE
5. For which measurement scale true zero is not considered.
Ans: INTERVAL SCALE

There are Four Measurement scales:
1. Nominal Scales
2. Ordinal Scale
3. Interval scale
4. Ratio Scale

NOMINAL SCALE
The classification or grouping of the observations into mutually exclusive qualitative categories or classes is said to constitute a nominal scale. For example, students are classified as male and female. Number 1 and 2 may also be used to identify these two categories. Similarly, rainfall may be classified as heavy moderate and light. We may use number 1, 2 and 3 to denote the three classes of rainfall. The numbers when they are used only to identify the categories of the given scale carry no numerical significance and there is no particular order for the grouping.
ORDINAL OR RANKING SCALE
It includes the characteristic of a nominal scale and in addition has the property of ordering or ranking of
measurements. For example, the performance of students (or players) is rated as excellent, good fair or poor, etc.
Number 1, 2, 3, 4 etc. are also used to indicate ranks. The only relation that holds between any pair of categories is that of “greater than” (or more preferred).
INTERVAL SCALE
A measurement scale possessing a constant interval size (distance) but not a true zero point, is called an interval scale. Temperature measured on either the Celsius or the Fahrenheit scale is an outstanding example of interval scale because the same difference exists between 20o C (68o F) and 30o C (86o F) as between 5o C (41o F) and 15o C (59o F). It cannot be said that a temperature of 40 degrees is twice as hot as a temperature of 20 degree, i.e. the ratio 40/20 has nomeaning. The arithmetic operation of addition, subtraction, etc. is meaningful.
RATIO SCALE
It is a special kind of an interval scale where the sale of measurement has a true zero point as its origin. The ratio scale is used to measure weight, volume, distance, money, etc. The, key to differentiating interval and ratio scale is that the zero point is meaningful for ratio scale.

Q1 ANS: NOMINAL SCALE.
Q2  ANS: ORDINAL OR RANKING SCALE
Q3  ANS: RATIO SCALE
Q4  ANS: ORDINAL OR RANKING SCALE
Q5  ANS: INTERVAL SCALE

Thank you very much Admin for help

1

ANS: NOMINAL SCALE

1.

ANS: ORDINAL OR RANKING SCALE

1.

ANS: RATIO SCALE

1.

ANS: ORDINAL OR RANKING SCALE

5

ANS: INTERVAL SCALE

1

ANS: NOMINAL SCALE ( as its naming and labeling what we are measuring like mulim 1 ,red 2 etc  category or type  we can weight data we just categorized it)

1.

ANS: ORDINAL OR RANKING SCALE( perfect its an ordinal scale as level of education will categorize in an order)

1.

ANS: Interval scale ( as brother Rana Farhaan pointed out it couldn't be 0 )

1.

ANS: ORDINAL OR RANKING SCALE( as in its statement it tells itself its ranking :V)

5

ANS: INTERVAL SCALE( indeed in the fifth its the absolute property of interval scale )

sir kon sa wala sahi hai 3 wala ma ration ahaana hai ya interval plz help me .

thanks M.Tariq malik

Q1 ANS: NOMINAL SCALE.

Q2  ANS: ORDINAL OR RANKING SCALE
Q3  ANS: RATIO SCALE
Q4  ANS: ORDINAL OR RANKING SCALE
Q5  ANS: INTERVAL SCALE

this is the true ans

thanks mysterious girl

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