Difference between Sample and Population in Statistics

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What is the main difference between a sample and a population?

A population includes all outcomes, while a sample is just a subset of those outcomes.

Which type of statistics is used when stating 'By 2040 at least 3.5 billion people will run short of water'?

Descriptive statistics

What level of measurement would 'Rankings of golfers in a tournament' fall under?

Ordinal-level

'Categories of magazines in a physician’s office' belong to which level of measurement?

Nominal-Level

'Marital status of nurses in a hospital' would be classified as which type of variable?

Qualitative

'Time it takes to run a marathon' is an example of what type of variable?

Quantitative

What is the mean undergraduate GPA for the top-ranked medical schools?

3.714

What is the median number of short-term parking spaces at the airports?

1479

In the undergraduate GPA data, what is the mode?

3.80

What is the mid-range of the number of short-term parking spaces at the airports?

$rac{1479 + 9822}{2}$

Which city has more variable number of stories in the tallest buildings according to the data provided?

Accra

Based on the waiting times provided, which group of patients' waiting times is more variable?

Discharged patients

What is the sample variance for the amount of Ghanaian auto sales for the 6 years shown in the data?

1.13 million dollars

If the mean waiting time for admitted patients changes to 90.2 minutes with a standard deviation of 8.5 minutes, how would this affect the variability compared to discharged patients?

Discharged patients become more variable

If Kumasi had a standard deviation of 5.7 for the number of stories in its tallest buildings, what effect would this have on the comparison with Accra?

Accra is still more variable

If one more year of auto sales data had a value of 16.3 million dollars, how would this affect the sample variance compared to before?

Sample variance increases

Which of the following variables can be classified as qualitative?

Colors of automobiles in a parking lot

Which measure of central tendency should be used when there is an extreme value in the data set?

Median

What type of variable is the number of students making appointments with a math tutor each day?

Discrete

For which situation is the mean the most appropriate measure of central tendency?

When further statistical computations are needed

If the sum of five values is 320 and the mean is 64, what is the sum of these values?

$380$

In a set of five values where four are given as 6, 10, 7, and 12, if the mean of all five values is 8.2, what is the fifth value?

$6$

What is the mode of the compensation costs for production workers in U.S. dollars?

5 million dollars

What is the modal class for the compensation costs of production workers?

22.52–27.52

What is the mean hourly compensation cost for production workers in U.S. dollars?

$17.68

Which class has the highest frequency for the production workers' compensation costs?

17.51–22.51 with a frequency of 7

What is the mode of the compensation costs in U.S. dollars?

$17.51–22.51 with a frequency of 7

How many modal classes are there for the compensation costs of production workers?

2

This quiz covers the key distinctions between a sample and a population in statistics, with examples provided. It also tests understanding of whether descriptive or inferential statistics have been used in given statements.

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