Understand Quantitative Data: Examples & Real-World Applications

To determine:Name the variables, specify for each variable whether it should be treated as categorical or quantitative and give the units for quantitative variables, if available. 

An article in Chance magazine reported on the Houston Independent School District's magnet schools programs. Of the 1755 qualified applicants, 931 were accepted, 300 were wait-listed, and 524 were turned away for lack of space. Find the relative freuqency distribution of the decisions made and write a sentence describing it.

After receiving many complaints about his final-grade histogram from students currently taking a Statistics course, the professor distributed the following revised histogram.
a) Comment on this display.
b) Describe the distribution of grades.

A group of students at a high school took a students who passed or faidel the exam is bro... following table. Determine whether gender ar... in dependent by filling out the bla
in the se... probabilities to the nearest thousandth.
Passed Failed
Male 9 21
Female 48 2

What is distinguish between qualitative and quantitative data?

Why do senior executives feel more comfortable relying on quantitative data than qualitative data? How might a qualitative research company lessen the senior-level executive’s skepticism?

The difference between the qualitative and quantitative data with examples

Identify the population: An education professor wants to gather information about parental involvement in early education for students attending a particular Ivy League university. She obtains a list of registered students from the registrar's office and randomly chooses 300 students to study.

Consider the following research questions/study scenarios. For each study, discuss the most appropriate methods for describing the data (graphically and numerically). What statistical method would be most appropriate for addressing the research questions? Be sure to provide justification of the statistical method. Provide the appropriate regression model and statistical test when appropriate.
1.A study was performed to determine the differences in pain experienced by children with sickle cell disease (SCD) in inpatient and outpatient settings. Pain intensity (visual analog scale) was the primary outcome of interest, but potential confounders include age and physical activity.

In an exit poll during the 2004 presidential election, voters were asked to name the issue that most affected their vote for a candidate for presidency. The following table summarizes their responses.
Moral Values: 22%
Economy/jobs: 20%
Terrorism: 19%
Iraq: 15%
Health Care: 8%
Taxes: 5%
Education: 4%
As you will notice, these percentages add up to 93%. Assume that the remaining 7% of these voters names other issues and let us denote these issues as Other. Draw a bar graph to display these data.

Explain how to find the range of a data set. 1)What is an advantage of using the range as a measure of variation? 2)What is a disadvantage?

True or False
1.The goal of descriptive statistics is to simplify, summarize, and organize data.
2.A summary value, usually numerical, that describes a sample is called a parameter.
3.A researcher records the average age for a group of 25 preschool children selected to participate in a research study. The average age is an example of a statistic.
4.The median is the most commonly used measure of central tendency.
5.The mode is the best way to measure central tendency for data from a nominal scale of measurement.
6.A distribution of scores and a mean of 55 and a standard deviation of 4. The variance for this distribution is 16.
7.In a distribution with a mean of M = 36 and a standard deviation of SD = 8, a score of 40 would be considered an extreme value.
8.In a distribution with a mean of M = 76 and a standard deviation of SD = 7, a score of 91 would be considered an extreme value.
9.A negative correlation means that as the X values decrease, the Y values also tend to decrease.
10.The goal of a hypothesis test is to demonstrate that the patterns observed in the sample data represent real patterns in the population and are not simply due to chance or sampling error.

Data that can be sorted into distinct groups is called quantitative
1. True
2.False

Determine whether the data described below is quantitative of qualitative variable.
A. The data are quantitative because they dont

An analyst produced the following summary statistics describing a quantitative variable:
n Mean Variance Std. dev. Median Range Q1 Q3
108 79.9 64.63 8.04 79.05 44.7 74 85.4
(a) The smallest value in the data set is 51. Should the analyst consider the value 51 to be an outlier on the low side?
(b) Justify your answer using an appropriate outlier identification rule. If you perform a calculations, give the pertinent calculations. If you create a graph, copy and paste it into the space.

To determine:Weather the annual salaries of NFL basketball player are qualitative or quantitative.

Write an equivalent expression using exponents.
${\displaystyle 5\cdot x\times \times =5x^4}$
${\displaystyle 7y\cdot 7y\cdot 7y=}$
${\displaystyle rr\cdot 2t\cdot 2t\cdot 2t=}$

Show whether the following is quantitative or qualitative data
i) Gender of students at a college
ii) Weight of babies at a hospital
iii) Colour of sweets in a box
iv) Number of students in a class
v) Colour of sweets in a box

In a study, you ask the subjects their gender. Is this data qualitative or quantitative?