Module 1 Practice Questions (2)

Front

What is a boxplot and what information does it convey?

Back

A boxplot is a graphical representation of data that displays the distribution's minimum, first quartile, median, third quartile, and maximum. It helps identify the central tendency, variability, and potential outliers in the data.

Front

What does a histogram represent in statistics?

Back

A histogram is a graphical representation of the distribution of numerical data, showing the frequency of data points within specified ranges (bins). It helps visualize the shape and spread of the data.

Front

What is the normal distribution?

Back

The normal distribution is a continuous probability distribution characterized by a symmetric bell-shaped curve, where most observations cluster around the mean, and probabilities for values further away from the mean taper off equally in both directions.

Front

What is the mean in a data set?

Back

The mean is the average of a set of numbers, calculated by adding all the values together and dividing by the number of values.

Front

What is the standard deviation and what does it indicate?

Back

The standard deviation is a measure of the amount of variation or dispersion in a set of values. A low standard deviation indicates that the values tend to be close to the mean, while a high standard deviation indicates that the values are spread out over a wider range.

Front

How do you calculate the percentage of data above a certain value in a normal distribution?

Back

To calculate the percentage of data above a certain value in a normal distribution, you can use the Z-score formula to find the corresponding percentile and then subtract that percentile from 100%.

Front

What is a percentile in statistics?

Back

A percentile is a measure used to indicate the value below which a given percentage of observations in a group of observations falls. For example, the 90th percentile is the value below which 90% of the data points lie.

Front

What is the significance of the interquartile range (IQR) in a boxplot?

Back

The interquartile range (IQR) is the range between the first quartile (Q1) and the third quartile (Q3) in a boxplot. It represents the middle 50% of the data and is a measure of statistical dispersion.

Front

What does it mean if a data set is skewed?

Back

A data set is skewed if it is not symmetrical and has a longer tail on one side. Right skew (positive skew) has a longer tail on the right, while left skew (negative skew) has a longer tail on the left.

Front

What is the relationship between sample size and the accuracy of statistical estimates?

Back

Generally, larger sample sizes lead to more accurate statistical estimates and reduce the margin of error, as they better represent the population.