Question

the frequency distribution below summarizes employee years of service for alpha corporation. find the class midpoint for class 1-5
years of service | frequency
1-5 | 5
6-10 | 20
11-15 | 25
16-20 | 10
21-25 | 5
26-30 | 3
a. 5.0 years
b. 2.5 years
c. 3.0 years
d. 3.5 years

Explanation:

Step1: Identify class limits

The class is 1 - 5. Lower limit \( L = 1 \), Upper limit \( U = 5 \).

Step2: Calculate midpoint

Midpoint formula: \( \frac{L + U}{2} \)
Substitute \( L = 1 \), \( U = 5 \): \( \frac{1 + 5}{2} = \frac{6}{2} = 3 \)? Wait, no, wait. Wait, maybe the class is 1 - 5, so midpoint is \( \frac{1 + 5}{2} = 3 \)? But wait, the options have 2.5, 3.0, etc. Wait, maybe the class is 1 - 5, so lower bound 1, upper bound 5. Midpoint is \( \frac{1 + 5}{2} = 3 \)? But wait, maybe the class is 1 - 5, so the midpoint is \( \frac{1 + 5}{2} = 3 \)? But the options have B: 2.5, C: 3.0. Wait, maybe I misread the class. Wait, the first class is 1 - 5. So lower limit 1, upper limit 5. Midpoint is \( \frac{1 + 5}{2} = 3 \)? But wait, maybe the class is 1 - 5, so the midpoint is 3.0? But let's check again. Wait, maybe the class is 1 - 5, so the midpoint is \( \frac{1 + 5}{2} = 3 \), so 3.0 years? But wait, another way: maybe the class is 1 - 5, so the midpoint is \( \frac{1 + 5}{2} = 3 \), so 3.0 years. But wait, the options: B is 2.5, C is 3.0. Wait, maybe the class is 1 - 5, so midpoint is 3.0? Wait, no, wait, maybe the class is 1 - 5, so the lower class boundary is 0.5 and upper is 5.5? Wait, no, the problem says "class midpoint for class 1 - 5". So class midpoint is (lower limit + upper limit)/2. So 1 + 5 = 6, divided by 2 is 3. So 3.0 years. But wait, the options: C is 3.0 years. But wait, maybe I made a mistake. Wait, let's check the options again. The options are A.5.0, B.2.5, C.3.0, D.3.5. So (1 + 5)/2 = 3, so 3.0 years. So the answer should be C.3.0 years. Wait, but wait, maybe the class is 1 - 5, so midpoint is 3.0. So the correct answer is C.

Wait, no, wait, maybe the class is 1 - 5, so the midpoint is (1 + 5)/2 = 3, so 3.0 years. So the answer is C.3.0 years.

Answer:

C. 3.0 years