Question

substitute the largest data value, 81, and the smallest data value, 28, into the formula for finding the class width for five classes and simplify the result.
class width = (\frac{\text{largest data value} - \text{smallest data value}}{5})
(= \frac{81 - 28}{5})
(= square) (\times)
the result is not an integer, but it is illogical to talk about a fraction of a student. here, to ensure the classes cover all the data, we should round this value up to the next whole number. doing this allows us to state that the class width is (square) (\times)

Explanation:

Step1: Calculate numerator

Subtract smallest from largest: \( 81 - 28 = 53 \)

Step2: Divide by number of classes

Divide numerator by 5: \( \frac{53}{5} = 10.6 \)

Step3: Round up to whole number

Round \( 10.6 \) up: \( 11 \)

Answer:

First blank (after division): \( 10.6 \)
Second blank (rounded class width): \( 11 \)