Question

identify the lower class limits, upper class limits, class width, class midpoints, and class boundaries for the given frequency distribution. also identify the number of individuals included in the summary.
age (yr) when award was won frequency
25 - 29 28
30 - 34 36
35 - 39 12
40 - 44 2
45 - 49 5
50 - 54 2
55 - 59 1

identify the lower class limits.
25, 30, 35, 40, 45, 50, 55
(type integers or decimals. do not round. use ascending order.)
identify the upper class limits.
29, 34, 39, 44, 49, 54, 59
(type integers or decimals. do not round. use ascending order.)
identify the class width.
5
(type an integer or a decimal. do not round.)
identify the class midpoints.

(type integers or decimals. do not round. use ascending order.)

Explanation:

Step1: Calculate class midpoints formula

The formula for class mid - point is $\frac{\text{Lower class limit}+\text{Upper class limit}}{2}$.

Step2: Calculate mid - point for 25 - 29 class

For the class 25 - 29, mid - point $=\frac{25 + 29}{2}=\frac{54}{2}=27$.

Step3: Calculate mid - point for 30 - 34 class

For the class 30 - 34, mid - point $=\frac{30+34}{2}=\frac{64}{2}=32$.

Step4: Calculate mid - point for 35 - 39 class

For the class 35 - 39, mid - point $=\frac{35 + 39}{2}=\frac{74}{2}=37$.

Step5: Calculate mid - point for 40 - 44 class

For the class 40 - 44, mid - point $=\frac{40+44}{2}=\frac{84}{2}=42$.

Step6: Calculate mid - point for 45 - 49 class

For the class 45 - 49, mid - point $=\frac{45 + 49}{2}=\frac{94}{2}=47$.

Step7: Calculate mid - point for 50 - 54 class

For the class 50 - 54, mid - point $=\frac{50+54}{2}=\frac{104}{2}=52$.

Step8: Calculate mid - point for 55 - 59 class

For the class 55 - 59, mid - point $=\frac{55 + 59}{2}=\frac{114}{2}=57$.

Answer:

27, 32, 37, 42, 47, 52, 57