Question

A set of raw data is provided in columns P, Q, and R. A list of standard deviations is provided in i), ii) and iii). Choose the appropriate option that correctly matches the data in the columns (P – R) with their standard deviations (i – iii). 
Hint: No calculation is necessary to solve this problem.

 

• A. P – i, Q – iii, R – ii
• B. P – iii, Q – i, R – ii
• C. P – ii, Q – i, R – iii
• D. P – iii, Q – i, R – i

Hint:

- A wider spread in the data corresponds to a higher standard deviation. - Smaller variation in data corresponds to a smaller standard deviation.

Answer 1

The Correct Option is B

Step 1: Analyzing Set P.
Set P contains the values 150.0, 230.0, 90.0, and 540.0. This set has a wide range of values with significant variation, which indicates a high standard deviation. Thus, Set P is associated with (iii) 200.1.

Step 2: Analyzing Set Q.
Set Q contains the values 120.0, 125.0, 122.0, and 120.0. The values are fairly close to each other, indicating a small standard deviation. Therefore, Set Q is associated with (i) 2.4.

Step 3: Analyzing Set R.
Set R contains the values 110.0, 120.0, 100.0, and 180.0. This set shows moderate variation, meaning its standard deviation should be moderate as well. Hence, Set R is associated with (ii) 35.9.

Thus, the correct matching is:
P – iii, Q – i, R – ii.