Question

the ages of the signers of the declaration of independence are shown here. (age is approximate since only the birth year appeared in the source, and one has been omitted since his birth year is unknown.) construct a frequency distribution for the data using seven classes.
source: the universal almanac
41 54 47 40 39 35 50 37 49 42 70 32
35 43 48 46 31 27 55 42 52 38 36 45
44 62 60 27 42 34 50 69 39 45 33 52
44 52 39 50 34 30 34 45 33 60 62
35 46 45 34 53 50 63 46 33
round your answer to the next whole number.
to construct seven classes, the range for each class (or the class width) should be
part 1 of 3
part: 0 / 3

Explanation:

Step1: Find the maximum and minimum values

First, we need to find the maximum and minimum values in the data set. Looking at the data, the maximum value \( M = 70 \) and the minimum value \( m=27 \).

Step2: Calculate the range

The range \( R\) is given by the formula \( R = M - m\). So, \( R=70 - 27=43 \).

Step3: Calculate the class width

The formula for class width \( w\) when we want \( k = 7\) classes is \( w=\frac{R}{k}\). Substituting the values, we get \( w=\frac{43}{7}\approx6.14 \). Rounding up to the next whole number, \( w = 7\).

Answer:

7