SCI1020 - Introduction to Statistical Reasoning - S1 2025
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Scores on a university exam are Normally distributed with a mean of 68 and a standard deviation of 9.
Using the 68-95-99.7 ("empirical") rule, calculate what percentage of students score above 77.
Enter your answer (number only) below:
The level of various substances in the blood is known to influence our health. Below are measurements of the level of phosphate in the blood of a patient, in milligrams of phosphate per deciliter of blood, made on nine consecutive visits to a clinic.
5.6 | 5.2 | 4.6 | 4.9 | 5.7 | 6.4 | 5.9 | 6.7 | 4.2 |
The following is a boxplot made from the verbal GRE exam scores of applicants in an entrance test to a university.
The five-number summary of the ages of 18 teachers in a university maths department was found to be
(32, 39, 47.5, 58, 68)
Using the rule for identifying outliers, what is the upper boundary in years above which values would be regarded as high outliers? Enter the numeric value only below:
The level of various substances in the blood is known to influence our health. Below are measurements of the level of phosphate in the blood of a patient, in milligrams of phosphate per deciliter of blood, made on nine consecutive visits to a clinic.
5.6 | 5.2 | 4.6 | 4.9 | 5.7 | 6.4 | 5.9 | 6.7 | 4.2 |
Calculate the median level of phosphate for the nine clinic visits in mg per dL. Enter only the number value below.
The histogram below shows the average property damage in millions of dollars caused by tornadoes over a 50-year period in each of the 50 states and Puerto Rico.
From the histogram, the first quartile must be
The following histogram represents the distribution of acceptance rates (percent accepted) among 25 business schools in 2004. In each class interval, the left endpoint is included but not the right, so the class intervals are 10 ≤ rate < 15, 15 ≤ rate < 20, etc.
What is the approximate shape of this distribution?
Which of the following statements best describes what a histogram shows?
A description of different houses on the market includes the following variables:
- monthly utilities bill (e.g. $230.00)
- quarterly rates bill (e.g. $540.00)
- suburb (e.g. Clayton)
- area postcode (e.g. 3800)
Which of the variables are quantitative?
According to a website, the average height of Australian males follows a normal distribution with a mean of 175.6 cm and a standard deviation of 7 cm.
What percentage of Australian males is taller than 180 cm? Use table A. Give two decimal places. %
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