Math 1: Test no. 5 Descriptive Statistics

Front

What is the definition of Descriptive Statistics?

Back

Descriptive Statistics is a branch of statistics that summarizes and describes the features of a dataset, including measures such as mean, median, mode, and standard deviation.

Front

What does it mean for a distribution to be skewed to the right?

Back

A distribution is skewed to the right when the tail on the right side is longer or fatter than the left side, indicating that there are a few high values that pull the mean to the right.

Front

What is the Interquartile Range (IQR)?

Back

The Interquartile Range (IQR) is a measure of statistical dispersion, calculated as the difference between the third quartile (Q3) and the first quartile (Q1). It represents the range of the middle 50% of the data.

Front

How do you find the median of a dataset?

Back

To find the median, first sort the data from least to greatest. If there is an odd number of observations, the median is the middle number. If there is an even number, it is the average of the two middle numbers.

Front

What is the formula to calculate the mean of a dataset?

Back

The mean is calculated by adding all the values in the dataset and then dividing by the number of values.

Front

What is the mode of a dataset?

Back

The mode is the value that appears most frequently in a dataset. A dataset may have one mode, more than one mode, or no mode at all.

Front

What does Q1 represent in a dataset?

Back

Q1, or the first quartile, represents the median of the lower half of the dataset, indicating that 25% of the data points fall below this value.

Front

What does Q3 represent in a dataset?

Back

Q3, or the third quartile, represents the median of the upper half of the dataset, indicating that 75% of the data points fall below this value.

Front

What is the relationship between mean, median, and mode in a skewed distribution?

Back

In a right-skewed distribution, the mean is greater than the median, which is greater than the mode. In a left-skewed distribution, the mean is less than the median, which is less than the mode.

Front

How do you calculate the range of a dataset?

Back

The range is calculated by subtracting the smallest value in the dataset from the largest value.