Final answer:
To construct an ogive using six classes, arrange the data in ascending order, determine the range and class width, create a frequency table, and plot the cumulative frequency to construct the ogive.
Step-by-step explanation:
To construct an ogive using six classes, start by arranging the data in ascending order. Then, determine the range of the data by subtracting the smallest value from the largest value. Divide the range by the number of classes (6) to calculate the class width. From there, you can determine the upper and lower limits of each class by using the class width.
Next, count the number of data points that fall into each class range and create a frequency table. To construct the ogive, plot the cumulative frequency for each class on the y-axis and the upper limit of each class on the x-axis. Connect the points to form a rising curve that represents the ogive.