### How do outliers impact measures of variability?

📊📈🔍 Hey guys, let’s talk about measures of variability! 📊📈🔍 When there are extreme values in a data set, measures that are less sensitive to those outliers are preferred. One such measure is the interquartile range (IQR), which looks at the difference between the first and third quartiles and ignores the minimum and maximum values. […]

### How are measures of dispersion related to measures of central tendency?

Measures of dispersion, like standard deviation and interquartile range, give us information about how spread out the data is in a distribution. Measures of central tendency, like mean and median, give us information about where the center of the data is. Mean and Standard Deviation The mean and standard deviation are often used together because […]

### What is the empirical rule?

The empirical rule is a way to estimate the spread of data in a normal distribution. It’s based on the idea that in a normal distribution, most of the data falls within a certain range of values around the mean. According to the empirical rule, in a normal distribution, approximately 68% of the data falls […]

### How do you calculate measures of dispersion?

📊📈🔍 Hey guys, let’s talk about measures of dispersion! 📊📈🔍 There are several measures of dispersion, including range, interquartile range (IQR), variance, standard deviation, and mean absolute deviation (MAD). Here’s how to calculate each one: Range: Subtract the smallest value from the largest value. IQR: Subtract the first quartile from the third quartile. Variance: Calculate […]

### What is the mean absolute deviation?

The mean absolute deviation (MAD) is a way to measure how spread out the values are in a set of data. It tells us on average how far each data value is from the average of all the data values. To find the MAD, we take the absolute value (ignoring negative or positive signs) of […]

### What do the variance and standard deviation describe about a distribution?

📊📈🔍 Hey guys, let’s talk about variance and standard deviation! 📊📈🔍 The variance measures how far data values lie from the mean of a distribution. It tells us how spread out the values are from the average. It’s like the difference between a group of people standing close together versus spread out across a wide […]

### What is the interquartile range?

📊📈🔍 Hey guys, let’s talk about the interquartile range! 📊📈🔍 The interquartile range (IQR) is a measure of variability in a distribution. It’s the range between the first quartile (25th percentile) and the third quartile (75th percentile) of the data. The interquartile range is a great way to describe the variability of points near the […]

### What is the range of a distribution?

📊📈🔍 Hey everyone, welcome to today’s tutorial on understanding the range of a distribution! 📊📈🔍 The range of a distribution is simply the difference between the highest and lowest values in the distribution. It’s like the range of a basketball player’s shots – the difference between their longest and shortest shots. The range tells us […]

### What charts are best for exploring dispersion or variability in a distribution?

📊📈🔍 Hey guys, let’s talk about charts that are best for exploring dispersion in a distribution! 📊📈🔍 Histograms and box plots are two of the best charts for exploring dispersion in a distribution. Histograms show the frequency of values in a distribution, while box plots show the range and distribution of the values. Histograms are […]

### What are measures of variation?

📊📈🔍 Hey guys, let’s talk about measures of variation in distributions! 📊📈🔍 Measures of variation tell us how spread out the values are around the central value. If the values are tightly clustered around the center, then there is low variation. But if the values are spread out over a wider range, then there is […]