A student discovers that his grade on a recent test was the 72 nd percentile. If 90 students wrote the test, then approximately how many students received a higher grade than he did?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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a.In an aquaculture study the following variables were measured on each fish: sex. Initial weight (g), body
temperature (C), weight gain (g). For each variable indicate the scale of measurement. 


(b) A weed killer is to be applied at a rate of two ounces per 1000gallons of water (2oz/1000
gallons). What is the application rate in ml/1000litrtrs if there are 28.375 ml/oz and 4.5
liters/gallon? 


(c) The term test scores of 15 students enrolled in a Business statistics class were recorded in
ascending order as follows 4, 7, 7, 9, 10, 11, 13, 15, 15, 15, 17, 17, 19, 19, 20. After calculating
the mean, median and the mode an error is discovered: one of the 15’s is really a 17. Of the three
measures of central tendency which will change? 


(d) A student discovers that his grade on a recent test was the 72 nd percentile. If 90 students wrote
the test, then approximately how many students received a higher grade than he did? 

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A weed killer is to be applied at a rate of two ounces per 1000gallons of water (2oz/1000gallons). What is the application rate in ml/1000litrtrs if there are 28.375 ml/oz and 4.5liters/gallon?

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Follow-up Question

Marks in a Chemistry test follows a normal distribution with mean 65 and standard deviation of 12.
Approximately what percentage of the students has a score,
(a) Below 50? 
(b) Between 45 and 75? 
(c) What is the approximate 90 th percentile of the mark distribution? [3 marks
(d) Approximately what is the value of m if ? 
(e) Find two values symmetric around the mean such that they include an area of 0.90.

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