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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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6. Grouped frequency distribution tables and real limits of intervals

A researcher wants to study the academic performance of urban secondary schools in her county. She decides to measure each school’s academic performance by collecting data on the percentage of students passing at least one Advanced Placement (AP) exam.

The following table shows each school with the percentage of students passing at least one Advanced Placement (AP) exam.


No.	School	Academic Performance
1	Booker T. Washington High School	3
2	Central Academy	4
3	Hsi Lai Academy	7
4	Performing Arts High School	8
5	Springfield High School	11
6	Hebrew Academy	14
7	Immaculate Conception High School	16
8	Mystic Valley Regional Charter School	17
9	West Springfield Technical High School	19
10	Buckhead Heights High School	22
11	Westwood Heights High School	23
12	Longwood Academy	25
13	Anderson Technical High School	26
14	Taylor Technical High School	29
15	Arborville High School	30
16	Inglewood Heights Academy	36
17	Robert Wood Johnson Health Academy	39
18	Metropolitan Community School	42
19	Medfield Senior High	51
20	Grover Cleveland High School	53
21	Lowell High School	58
22	Danville High School	60
23	Salaam Learning Academy	68
24	Northside College Preparatory High School	72
25	Friends Academy	80

(Note: Academic Performance is measured as the percentage of students passing at least one AP exam)

In order to organize the data in Table 1, the researcher needs to decide whether to use a grouped frequency distribution table or whether to list each possible score individually from the lowest score to the highest score (or from the highest score to the lowest score), including scores in between that have zero frequencies. If she lists all possible scores individually, the frequency distribution table would have rows. The researcher decides that a grouped frequency table would better organize this data.

Table 2 divides the range of these 25 schools’ academic performance into nine intervals and gives some of their frequencies and relative frequencies. Based on the information provided in Table 1, use the dropdown menus to complete Table 2.


Academic Performance	Frequency	Relative Frequency
0 to 9	4	0.16
10 to 19	5	0.20
20 to 29	5	0.20
30 to 39
40 to 49	1	0.04
50 to 59	3	0.12
60 to 69
70 to 79	1	0.04
80 to 89	1	0.04
Total	25	1.0