Question

now, determine the class limits for a frequency table with seven classes and a class width of 16. we will start with the lower class limits. recall that the lower class limit is the lowest data value that can fit in a class, while the upper class limit is the highest data value that can fit in a class. the class width gives us the difference between the lower class limit of one class and the lower class limit of the next class. we are given that the data set has a low value of 30, so we will use this value as the lower class limit for the first class. since the class width is 16, the second class will be 16 greater than the first class. so, to find the lower class for the second class, add \boxed{} to 30. continue with this method to fill in the table with all of the lower class limits. remember to stop once the designated 7 classes is reached. \

$$\begin{tabular}{|c|c|c|} \\hline & lower class limit & upper class limit \\\\ \\hline first class & 30 & \\\\ \\hline second class & \\boxed{} & \\\\ \\hline third class & 62 & \\\\ \\hline fourth class & \\boxed{} & \\\\ \\hline fifth class & 94 & \\\\ \\hline sixth class & \\boxed{} & \\\\ \\hline seventh class & 126 & \\\\ \\hline \\end{tabular}$$

Explanation:

Step1: Find second class lower limit

The class width is 16, so add 16 to first class lower limit (30).
$30 + 16 = 46$

Step2: Find fourth class lower limit

Third class lower limit is 62, add 16.
$62 + 16 = 78$

Step3: Find sixth class lower limit

Fifth class lower limit is 94, add 16.
$94 + 16 = 110$

Answer:

First blank (add to 30): 16
Second class lower limit: 46
Fourth class lower limit: 78
Sixth class lower limit: 110