5.3 Warm Up [STATS] 11.06.24

Front

What does the percentile represent in a data set?

Back

The percentile represents the percent of data values that are below a certain value.

Front

What is the main advantage of experiments over observational studies?

Back

Experiments can usually provide better evidence of causation.

Front

How do you determine if there are outliers using the 1.5 IQR rule?

Back

Calculate the interquartile range (IQR) and identify any data points that fall below Q1 - 1.5*IQR or above Q3 + 1.5*IQR.

Front

What is the formula for calculating a z-score?

Back

The z-score is calculated using the formula: z = (X - μ) / σ, where X is the value, μ is the mean, and σ is the standard deviation.

Front

What is the mean and standard deviation of the shelf life of a particular dairy product?

Back

The mean shelf life is 12 days and the standard deviation is 3 days.

Front

What percentage of data falls within one standard deviation of the mean in a normal distribution?

Back

Approximately 68% of the data falls within one standard deviation of the mean.

Front

What is the significance of the standard deviation in a data set?

Back

The standard deviation measures the amount of variation or dispersion of a set of values.

Front

How do you interpret a negative z-score?

Back

A negative z-score indicates that the value is below the mean of the data set.

Front

What is the empirical rule in statistics?

Back

The empirical rule states that for a normal distribution, about 68% of the data falls within one standard deviation, 95% within two standard deviations, and 99.7% within three standard deviations.

Front

What is the purpose of using the IQR in statistics?

Back

The interquartile range (IQR) is used to measure the spread of the middle 50% of a data set and to identify outliers.