The nine cats in a pet store were weighed. Their weights (in pounds) are given below.8, 8, 7, 1, 7, 8, 4, 8, 8Find the mode and the range for the data.

1. Break Down the Problem

To find the mode and range of the weights of the cats, we’ll follow these steps:

• Identify the mode, which is the value that appears most often in the dataset.
• Calculate the range, which is the difference between the maximum and minimum values in the dataset.

2. Relevant Concepts

• Mode: The most frequently occurring value in a set of data.
• Range: Difference between the maximum and minimum values.

3. Analysis and Detail

• Given weights: $8, 8, 7, 1, 7, 8, 4, 8, 8$
• Step 1: Count the frequency of each weight:
  • $1$: 1 time
  • $4$: 1 time
  • $7$: 2 times
  • $8$: 5 times
• Step 2: Identify the mode:
  • The number $8$ appears most frequently (5 times).
• Step 3: Determine the maximum and minimum values:
  • Maximum: $8$
  • Minimum: $1$
• Step 4: Calculate the range: $\text{Range} = \text{Maximum} - \text{Minimum} = 8 - 1 = 7$

4. Verify and Summarize

• Mode: $8$ (as it appears 5 times, more than any other number)
• Range: $7$ (the difference between $8$ and $1$)

Final Answer

• Mode: $8$
• Range: $7$