In an educational institution, the stipends earned by the students in the first year summer internships of the two year post graduate programme are used to decide the amount of financial aid to be given to the students in the second year of the programme. The stipends earned by the students have the following distribution : Stipend earned (in Z) Number of students 0 — 49,999 231 50,000 — 99,999 304 1,00,000 — 1,49,999 400 1,50,000 — 1,99,999 296 2,00,000 — 2,49,999 123 2,50,000 — 2,99,999 68 3,00,000 or more 23 What is the mode value of the stipend earned ? If financial aid is restricted to those students whose stipend earnings are at least 10% lower than the mode value, how many of the applicants qualify?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 67E
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 In an educational institution, the stipends earned by the students in the first year
summer internships of the two year post graduate programme are used to decide the
amount of financial aid to be given to the students in the
second year of the programme. The stipends earned by the students have the following
distribution :
Stipend earned (in Z) Number of students
0 — 49,999 231
50,000 — 99,999 304
1,00,000 — 1,49,999 400
1,50,000 — 1,99,999 296
2,00,000 — 2,49,999 123
2,50,000 — 2,99,999 68
3,00,000 or more 23
What is the mode value of the stipend earned ? If financial aid is restricted to those students
whose stipend earnings are at least 10% lower than the mode value, how many of the
applicants qualify?

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