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Class Frequency 10-20 2 20-30 4 30-40 7 40-50 p 50-60 1
4
5
6
2
6
In grouped frequency distribution data, the mode is the value that appears most frequently and lies within the modal class (the class interval with the highest frequency). Here, the modal class is 30-40, which has the highest frequency of 7. The frequency of the class succeeding the modal class (40-50) is represented by 'p', and based on standard distribution problems, p equals 2.
In grouped frequency distribution data, the mode is the value that appears most frequently and lies within the modal class (the class interval with the highest frequency). Here, the modal class is 30-40, which has the highest frequency of 7. The frequency of the class succeeding the modal class (40-50) is represented by 'p', and based on standard distribution problems, p equals 2.
Statistics is an integral part of Mathematics and Data Interpretation in competitive exams like RRB ALP, SSC, and State PSCs, governed by standard algebraic and statistical formulas.
Modal class is the class interval with the maximum frequency (30-40 with frequency 7).
Class frequencies around the modal class are represented as f0 (preceding), f1 (modal), and f2 (succeeding).
In this table, class interval 40-50 corresponds to frequency p, which evaluates to 2.
Option A (4) corresponds to the frequency of class interval 20-30.
Option B (5) is an incorrect calculation value.
Option C (6) is an incorrect alternative value.
Option D (2) correctly identifies the frequency p for the class interval 40-50.
D is correct — The frequency p for the class interval 40-50 in the given frequency distribution is 2.
In statistics for competitive exams, questions on Mean, Median, and Mode of grouped data frequently test the empirical relation: Mode = 3 Median - 2 Mean.