Which of the following is/are (an) example(s) of discrete data? (you may choose one or more) Onumber of bus stops along a specific route temperature in Phoenix on June 22, 2017 O number of times a call light is used in a hospital average speed of the light rail Choose correct option.. And explain all question. Ty Which of the following is/are (an) example(s) of discrete data? (you may choose one or more) number of bus stops along a specific route temperature in Phoenix on June 22, 2017 number of times a call light is used in a hospital average speed of the light rail There is not a measurable distance between values in the following measurement scale may choose one or more) 0 median ratio mean interval Which of the following can be calculated for an continuous set of data? (you may choose one or more) mode nominal standard deviation ordinal
The Correct Answer and Explanation is :
Discrete Data:
Discrete data consists of countable values, typically whole numbers, where there is a distinct gap between each value, and no intermediate values are possible. Let’s review the options:
- Number of bus stops along a specific route: This is an example of discrete data. The number of bus stops is a countable value, and the bus stops are distinct, separate entities. For example, there can be 5 bus stops, but not 4.5 bus stops. Hence, this is discrete.
- Temperature in Phoenix on June 22, 2017: This is an example of continuous data, not discrete. Temperature is measured on a continuous scale, and it can have any value within a range (e.g., 98.3°F, 98.33°F, etc.), meaning there are infinite possible values.
- Number of times a call light is used in a hospital: This is an example of discrete data. Like the number of bus stops, the number of times a call light is used is countable and distinct. It is measured in whole numbers (e.g., 5 uses, 6 uses), with no fractions or intermediate values.
- Average speed of the light rail: This is an example of continuous data. Speed is a continuous variable because it can be measured at any point in a continuous range (e.g., 50.1 mph, 50.12 mph). There’s no gap between possible values of speed.
Measurement Scales:
Measurement scales determine how data is categorized and analyzed. Let’s go over each term:
- Median: This is a measure of central tendency and can be calculated for ordinal, interval, and ratio data. It is the middle value in a sorted list of numbers.
- Ratio: This is a type of measurement scale where both differences and ratios are meaningful (e.g., weight, height). It has a true zero point (e.g., zero weight or zero length), and both differences and ratios are calculable.
- Mean: The mean is a measure of central tendency and can be calculated for interval and ratio data. It involves summing all the values and dividing by the total number of data points.
- Interval: This is a scale where the differences between values are meaningful, but there is no true zero. For example, temperature in Celsius or Fahrenheit (0°C or 0°F does not represent the absence of temperature).
Continuous Data:
For continuous data, the following measures can be calculated:
- Mode: The most frequent value in a data set. It can be calculated for both discrete and continuous data.
- Standard deviation: A measure of variability that can be calculated for continuous data. It shows how much the values in a data set differ from the mean.
- Nominal: This scale deals with categories or names without any quantitative significance (e.g., colors, types of animals). It does not apply to continuous data.
- Ordinal: This scale deals with ordered categories (e.g., rankings). It can be used with discrete and continuous data, but it’s not as common for continuous data.
In summary:
- Discrete data examples: Number of bus stops, number of times a call light is used in a hospital.
- Continuous data examples: Temperature in Phoenix, average speed of the light rail.
- Measurement scales: Median and mean can be calculated for interval and ratio data.
- Calculations for continuous data: Mode and standard deviation.