Understanding Cumulative Frequency

What does cumulative frequency represent in data analysis?

• The average frequency of all categories

• The difference between consecutive frequencies

• A running total of frequencies up to a certain point

• The total frequency of individual categories

What is the purpose of a cumulative frequency graph?

• To compare different datasets directly

• To calculate the mean of the dataset

• To display the distribution of data over intervals

• To show the mode of the dataset

Why do we plot the top point for cumulative frequency on a graph?

• To accurately represent the cumulative total up to that point

• Because it shows the maximum frequency

• To simplify the graph plotting process

• To represent the midpoint of the data

What does the smooth curve in a cumulative frequency graph represent?

• The potential trend in the data

• The cumulative total of frequencies

• The outliers in the dataset

• The variability of the dataset

What does a point on a cumulative frequency graph represent?

• The total number of occurrences up to and including that point

• The frequency of that specific point only

• The average frequency up to that point

• The difference in frequency from the previous point

How is the median found using a cumulative frequency graph?

• By finding the value that divides the dataset into two equal halves

• By calculating the average of all frequencies

• By counting the number of data points

• By selecting the highest frequency value

What is the significance of the 25th person in finding the median from a cumulative frequency graph?

• It is used to find the mode

• It helps in calculating the mean

• It indicates the median of the dataset

• It represents the lower quartile

Why is the median referred to as the 25th person in a dataset of 50?

• Because it is the lowest value

• Because it represents the middle value

• Because it is the most frequent value

• Because it is the highest value

What is the first step in calculating cumulative frequency for a new dataset?

• Dividing the total frequency by the number of data points

• Plotting the data on a graph

• Adding the frequencies of all data points

• Starting with the first frequency and adding each subsequent one

In cumulative frequency calculation, what does adding 9 to 55 represent?

• A correction to a previous total

• The total frequency up to that point

• The addition of a new data point

• The frequency of the last interval