Answered: In an educational institution, the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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?

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

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