Cumulative Frequency, Mode, and Probability IB Math AI SL 4.2-4.6

Flashcards covering key concepts of cumulative frequency, statistical measures, and data analysis.

What is cumulative frequency?

A running total of frequencies that shows how many data points fall below a certain value.

How do you determine cumulative frequency from a frequency table?

You add the frequency of the current interval to the cumulative frequency of the previous interval.

What is the upper boundary of a range in data analysis?

The highest value in a given data range.

What does quartile one represent?

It is the median of the first half of the data set, indicating the point below which 25% of the data fall.

What is the significance of median in statistics?

The median is the middle value of a data set when it is ordered, dividing the data into two equal halves.

What is the mode in a data set?

The mode is the value that appears most frequently in a data set.

What does the term 'modal class' refer to?

The category in a frequency distribution that contains the largest frequency.

What is standard deviation?

A measure of the amount of variation or dispersion in a set of values.

Explain the concept of relative frequency.

The ratio of the number of times an event occurs to the total number of trials.

What does Pearson's correlation coefficient (r) indicate?

It measures the strength and direction of the linear relationship between two variables.

How do you find the expected occurrences of an event in probability?

Multiply the probability of the event by the total number of trials.

What are percentiles in a data set?

Percentiles indicate the value below which a given percentage of observations in a data set fall.

What does it mean if two events are mutually exclusive?

It means that the occurrence of one event excludes the possibility of the occurrence of the other.

What is the formula to calculate the probability of an event not occurring?

1 minus the probability of the event occurring.

What is the range in a data set?

The difference between the highest and lowest values.