To determine the frequency distribution for the given temperature data, follow these steps:

1. Class width is already given as 6.
2. Count the number of data points that fall into each temperature range (class).

Step 1: Organize the data

The temperatures given are:

• 114, 118, 108, 110, 109, 115, 112, 116, 107, 103, 104, 113, 117, 95, 100, 99, 104

Step 2: Classify the data into intervals

The class intervals are:

• 94.5 to 100.5
• 100.5 to 106.5
• 106.5 to 112.5
• 112.5 to 118.5

Step 3: Tally and count frequencies

• 94.5 to 100.5:

  • 95, 99, 100 → 3 values

• 100.5 to 106.5:

  • 103, 104, 104 → 3 values

• 106.5 to 112.5:

  • 107, 108, 109, 110 → 4 values

• 112.5 to 118.5:

  • 112, 113, 114, 115, 116, 117, 118 → 7 values

Step 4: Final Table

Final Answer

The frequencies for the grouped distribution are:

• 94.5 to 100.5 → 3
• 100.5 to 106.5 → 3
• 106.5 to 112.5 → 4
• 112.5 to 118.5 → 7

Let me know if you would like a detailed explanation or help with similar concepts.

5 Related Questions:

1. How do you calculate the midpoint for each class interval?
2. What is the purpose of a frequency distribution in statistics?
3. How do you find the relative frequency for each class?
4. Can you explain how to create a histogram using this frequency distribution?
5. What is a cumulative frequency, and how can it be determined for this dataset?

Tip: Always ensure that class intervals do not overlap and that they cover the entire data range.