To complete the frequency distribution, we need to:

1. Count how many numbers fall within each age range (70-74, 75-79, etc.).
2. Calculate the total number of data points.
3. Compute the relative frequency by dividing each frequency by the total number of data points, then round the result to 2 decimal places.

Data:

89, 88, 87, 70, 89, 73
70, 72, 94, 93, 78, 79
71, 89, 78, 90, 75, 80
84, 88, 89, 72, 90, 87
78, 70, 76, 75, 75, 78

Step 1: Count the Frequency

Let's count how many numbers fall into each range:

• 70-74: 70, 73, 70, 72, 71, 72, 70 → 7 numbers
• 75-79: 78, 79, 78, 75, 78, 75, 78 → 7 numbers
• 80-84: 80, 84 → 2 numbers
• 85-89: 89, 88, 87, 89, 89, 89, 88, 89, 87 → 9 numbers
• 90-94: 94, 93, 90, 90 → 4 numbers

Step 2: Calculate Total Number of Data Points

Total data points = 7 + 7 + 2 + 9 + 4 = 29

Step 3: Calculate Relative Frequency

Relative frequency is calculated as: $\text{Relative Frequency} = \frac{\text{Frequency}}{\text{Total Data Points}} \text{ rounded to 2 decimal places}$

• 70-74: $\frac{7}{29} = 0.24$
• 75-79: $\frac{7}{29} = 0.24$
• 80-84: $\frac{2}{29} = 0.07$
• 85-89: $\frac{9}{29} = 0.31$
• 90-94: $\frac{4}{29} = 0.14$

Final Frequency Distribution Table

Age	Frequency	Relative Frequency
70-74	7	0.24
75-79	7	0.24
80-84	2	0.07
85-89	9	0.31
90-94	4	0.14

Would you like any further details or explanations?

Here are 5 related questions to expand on this topic:

1. How can relative frequencies be represented visually?
2. What is the cumulative frequency and how is it calculated?
3. How do you calculate percentages from relative frequencies?
4. Why is it important to round relative frequencies in data analysis?
5. What are other ways to organize and present frequency data?

Tip: Always check that the sum of relative frequencies equals 1 (or very close due to rounding).