Quantitative Data Flashcards
The mean is calculated by adding all values and dividing by the number of _____. The formula is Mean = Sum of all values / Number of _____.
values, values
The median is the middle value in an ordered data set, and if the number of values is even, it is the average of the two _____.
middle numbers
The mode is the most frequently occurring value(s) in a data set, which can have one mode, multiple modes, or _____.
no mode
A frequency table organizes data into categories or intervals and shows how often each category/interval _____.
occurs
A summary table condenses data by providing aggregated statistics such as totals, averages, or _____.
percentages
A bar chart displays categories on the x-axis and frequencies or values on the y-axis using _____.
rectangular bars
A histogram is a type of bar graph used for continuous data, where bars represent intervals and the height indicates _____.
frequency
The range measures the spread of data, calculated as the difference between the highest and _____.
lowest values
Standard deviation measures how spread out the values are from the mean, with a smaller standard deviation indicating data points are close to the _____.
mean
Percentages represent a value as a fraction of 100, calculated using the formula Percentage = (Part / Whole) x _____.
100
Ratios compare two quantities, expressed as a:b or _____.
a/b
A fraction represents a part of a whole, written as a/b, where a is the numerator and b is the _____.
denominator
Use a bar chart for categorical data and a histogram for _____.
continuous data
In a frequency table, the counts or frequencies help you understand how often each ____ or ____ occurs.
category, interval
Measures of central tendency include the mean, median, and ____, which summarize a data set with a single representative ____.
mode, value
Measures of dispersion show the spread or variability of data, including the range and ____.
standard deviation
To calculate standard deviation, first find the mean, then subtract the mean from each data value to find ____ and square each ____.
deviations, deviation
When calculating standard deviation, after finding the mean of squared deviations, you take the ____ of the result to find the standard deviation.
square root
In Example 1, the mean of the data set 2, 4, 6, 8 is ____, and the standard deviation is approximately ____.
5, 2.24
In Example 2, the mean of the data set 10, 20, 30, 40, 50 is ____, and the standard deviation is approximately ____.
30, 14.14
A low standard deviation indicates that the data points are closely clustered around the ____, while a high standard deviation indicates ____ spread.
mean, greater
The mean is calculated by adding all values and dividing by the number of _____. The result is known as the _____.
values, mean
The median is the middle value in an ordered data set, and if the number of values is even, the median is the average of the two _____.
middle numbers
A frequency table organizes data into categories or intervals and shows how often each _____ occurs.
category/interval
A summary table condenses data by providing aggregated statistics, such as totals, averages, or _____ for different categories.
percentages