Question

Statistics chapter 2

School superintendents are most often the highest paid school district employee. Here is a list of 20 school district superintendent salaries (in $):

187,000   184,000   174,000   185,000   175,000   172,000   202,000   197,000   165,000   208,000   215,000 164,000

162,000   172,000 182,000   156,000   172,000 175,000   170,000   183,000

Show the frequency distribution

Show the percent frequency distribution

Develop a histogram for the annual base salary data

Do the data appear to be skewed? Explain

What percentage of superintendents make more than $200,000 a year?

In an average year, this year however was not average, about 1.5 million high school students take the SAT. Here is a sample of SAT scores (combined math and verbal sections):

1025       1042       1195       880         945         1102       845         1095       936         790         1097       913         1245

1040       998         998         940         1043       1048       1130       1017       1140       1030       1171       1035

Show a frequency distribution and histogram for the SAT scores. Being the first class with an SAT score of 750 and use a class width of 100

Comment on the shape of the distribution

What other observations can you make about SAT scores based on the graphical summaries?

Answer 1

Sr. no	class interval	frequency	relative frequency=fi/N		%relative frequency
1	156000-167799	4	0.2000		20.00%
2	167800-179599	7	0.3500		35.00%
3	179600-191399	5	0.2500		25.00%
4	191400-203199	2	0.1000		10.00%
5	203200-214999	1	0.0500		5.00%
6	215000-226799	1	0.0500		5.00%

data appear to be right skewed

................

Sr. no	class interval	frequency
1	750-849	2
2	850-949	5
3	950-1049	10
4	1050-1149	5
5	1150-1249	3

data seems to be symmetric

....................

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