Percentiles and Standard Deviation Quiz

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What is the purpose of scales, grid lines, dots, and legends used in graphical data presentations?

To distort the proportions
To indicate the data being represented (correct)
To confuse the viewers
To hide the actual data

In a standard normal distribution, where do approximately 68% of the data lie?

Within one standard deviation from the mean (correct)
Exactly on the mean
Outside two standard deviations from the mean
Within two standard deviations from the mean

What does a Venn diagram represent using circular regions?

The number of grid lines
Only one set of objects
Different colors
Various sets of objects (correct)

What term describes the range of the middle 50% of a dataset, showing how spread out the values are?

Interquartile range (A) Signup and view all the answers

If a scale on a line graph does not begin at zero, what might this practice lead to?

Misinterpretation of data (D) Signup and view all the answers

How are areas of individual sectors represented in a circle graph according to standard conventions?

Proportional to the percents they represent (B) Signup and view all the answers

What does the 25th percentile represent in terms of quartiles?

First quartile (C) Signup and view all the answers

What is the median for a list of data with an even number of elements?

The mean of the two middle numbers (C) Signup and view all the answers

Which statistic measures the spread of data about the mean?

Standard deviation (D) Signup and view all the answers

How are quartiles defined for data listed in increasing order?

They divide the data into four groups with roughly equal size (B) Signup and view all the answers

What does the mode represent in a set of data?

The most frequently occurring number (B) Signup and view all the answers

What is the standard deviation of a set of data related to?

Mean and each data point (A) Signup and view all the answers

How is the interquartile range (IQR) calculated?

Second quartile minus first quartile (A) Signup and view all the answers

How many numbers divide the data into 100 groups for percentiles?

99 (D) Signup and view all the answers

If the 50th percentile is also known as the median, what does the 75th percentile represent?

Third quartile (D) Signup and view all the answers

In a set of data, what does the interquartile range represent?

The range of the second and third quartiles (A) Signup and view all the answers

What does the range of a set of data measure?

Difference between maximum and minimum values (D) Signup and view all the answers

What is calculated by subtracting the first quartile from the third quartile?

Interquartile range (D) Signup and view all the answers

Purpose of scales, grid lines, dots, and legends

Scales, grid lines, dots, and legends provide visual cues to understand the data represented in a graph.

Data within one standard deviation

In a standard normal distribution, around 68% of the data points fall within one standard deviation from the mean. This signifies a concentration of data near the average.

What do Venn diagrams represent?

A Venn diagram uses overlapping circles to illustrate relationships between different sets of objects. This reveals common elements and unique elements within each set.

Interquartile range

The interquartile range (IQR) is a measure of spread representing the middle 50% of data. It captures the range of values from the first quartile (25th percentile) to the third quartile (75th percentile).