Cumulative Frequency and Box Plots

What is the purpose of using cumulative frequency in statistics?

• To calculate the mean of a data set

• To show the total number of observations below a certain value in a data set.

• To determine the range of a data set

• To identify outliers in a data set

How is cumulative frequency calculated?

• By dividing frequencies

• By multiplying frequencies

• By subtracting frequencies

• By adding up frequencies as you go along the data set

What does the box in a box and whisker plot represent?

• Median

• Interquartile range (IQR)

• Standard Deviation

• Mean

In a box and whisker plot, what does the whisker indicate?

• Range of the data

• Interquartile range

• Median of the data

• Mean of the data

What does the median line in a box and whisker plot represent?

• Middle value of the dataset

• Sum of all values in the dataset

• Mean value of the dataset

• Highest value of the dataset

In a box and whisker plot, what does the whisker indicate?

• Range of the data

• Interquartile range

• Median of the data

• Mean of the data

How can outliers be identified in a box and whisker plot?

• By calculating the mean and identifying data points within 1 standard deviation.

• By looking for data points that fall exactly on the median line.

• By excluding the smallest and largest data points.

• By calculating the IQR and identifying data points below Q1 - 1.5 * IQR or above Q3 + 1.5 * IQR.

What does the interquartile range (IQR) represent in a box and whisker plot?

• Middle 50% of the data range

• Mean of the data set

• Maximum value in the data set

• Minimum value in the data set

How can you compare two sets of data using box and whisker plots?

• By comparing the means of the two sets directly

• By analyzing the mode of each set

• By creating separate box plots for each set and comparing the medians, quartiles, and ranges visually.

• By looking at the standard deviations of the two sets

What is the median?

• 62
• 58
• 66
• 60