Question

Which statements are true regarding the scatter plot?
(A) Shows how two variables are correlated
(B) Summarizes categorical data
(C) Displays proportions as a whole
(D) Uses dots to represent data
Choose the correct answer from the options given below:

• A. (A), (B) and (D) only
• B. (A), (B) and (C) only
• C. (A), (B), (C) and (D)
• D. (A) and (D) only

Hint:

Scatter plot = dots for two numeric variables, shows correlation. Categorical summary and proportions are not its job.

Answer 1

The Correct Option is D

Step 1: Understanding the Concept:
A scatter plot places one dot for each pair of values (x, y). It is used to see whether two numeric variables are related, and how. We check each statement one by one.

Step 2: Check option 1.
Statement (A) says it shows how two variables are correlated. Yes, the pattern of the dots shows a positive, negative or no correlation. (A) is TRUE. Option 1 has (A), but it also has (B), so we test (B) next. So option 1 cannot be decided yet.

Step 3: Check option 2.
Statement (B) says it summarizes categorical data. A scatter plot needs numeric values on both axes. Categorical data is shown with bar charts or pie charts. (B) is FALSE. So options 1, 2 and 3, which all contain (B), are wrong.

Step 4: Check option 3.
Statement (C) says it displays proportions as a whole. This is the job of a pie chart. (C) is FALSE. So options 2 and 3 are wrong again.

Step 5: Check option 4.
Statement (D) says it uses dots to represent data. Yes, each data pair is one dot. (D) is TRUE. Only (A) and (D) are true, so option 4 is correct.

Step 6: Final Answer:
The true statements are (A) and (D) only, which is option 4. \[ \boxed{(A)\text{ and }(D)\text{ only}} \]