Correct Answer: Correct answer is: (C) Mode.
Exam Relevance: SAT, ACT, AP Statistics, IB Mathematics
Difficulty: Moderate
Concept notes: An Ogive is a cumulative frequency graph used to determine quartiles, deciles, and percentiles. It does not provide information to directly locate the mode.
Common Mistakes: Students may mistakenly believe that an Ogive can be used to find the mode because it is a graphical representation of data.
Explanations: An Ogive is a cumulative frequency graph that helps in determining quartiles, deciles, and percentiles by locating the corresponding cumulative frequencies. However, the mode is the value that appears most frequently in a dataset, and an Ogive does not provide the necessary information to identify this value directly.
Option Analysis: - Option A: Deciles can be found using an Ogive by locating the cumulative frequencies corresponding to 10%, 20%, ..., 90% of the total frequency.
- Option B: Quartiles can be found using an Ogive by locating the cumulative frequencies corresponding to 25%, 50%, and 75% of the total frequency.
- Option C: The mode cannot be directly located using an Ogive as it does not provide information on the frequency of individual data points.
- Option D: The median can be found using an Ogive by locating the cumulative frequency corresponding to 50% of the total frequency.
Mnemonic: Ogive for Q, D, P, not M (Quartiles, Deciles, Percentiles, not Mode)
Ques 51 explanation is not related to the question…
Very useful question but plz give explanation with correct answer