Mean and Median
What is the mean of the data set: 3, 7, 8, 5, 10?
The mean is 6..6
How do you find interquartile range?
Q3-Q1
What is standard deviation?
It indicates how much the data values deviate from the mean.
What is a histogram?
A histogram is a graphical representation of the frequency distribution of numerical data.
How do you find the median of a data set?
You organize your numbers smallest to biggest, and cross out one from each side until you have a middle number
How do you calculate the IQR if the quartiles are Q1 = 5 and Q3 = 15?
The IQR is Q3−Q1=15−5=10
If the standard deviation of a data set is 0, what does that tell you?
It tells you that all the data values are the same.
What are the 5 numbers that a box plot displays.
A box plot shows the minimum, Q1, median, Q3, and maximum of a data set.
What is the median of the following data set:
4, 6, 7, 9, 11, 12
8
Does the IQR tell us the middle 50% of our data, or the first 50%?
The middle 50% of our data
How does a larger standard deviation affect the interpretation of data?
A larger standard deviation indicates more variability and a wider spread of data points around the mean.
Why would you use a dot plot instead of a histogram?
A dot plot is useful for smaller data sets and shows individual data points, making it easy to see frequency.
Define what it means when a data set is skewed to the right.
It means that the majority of the data values are concentrated on the left side with a long tail on the right.
If a data set has an IQR of 8, and the Q1 value is 4, what is the Q3 value?
12
If the standard deviation of a data set is lower, is the data closer together or more spread out?
Closer together
What distribution display is best to use to see every single number in your data set represented?
Dot Plot
Explain how the mean can be influenced by outliers in a data set.
Outliers can significantly increase or decrease the mean, making it unrepresentative of the majority of data.
Explain the difference between a box plot and a histogram.
A box plot shows the median, quartiles, and potential outliers, while a histogram displays the frequency distribution of data values.
This vocabulary term impacts standard deviation the most. It is known as a number too far from the mean and other data points that it stands out.
Outlier
What is the best distribution to use if I want to know the exact median of a data set?
Box Plot