Question

spin to start the spinner. spinner 7 times. which color has the highest frequency, and what was that color’s experimental probability? perform the experiment by spinning the spinner 7 times.

Explanation:

To solve this, we first need to perform the experiment by spinning the spinner 7 times (though the table currently has all frequencies as 0, we assume we'll record the results). After spinning 7 times, we'll count the frequency of each color (Red, Green, Blue, Purple, Orange).

Step 1: Conduct the Experiment

Spin the spinner 7 times and record how many times each color (Red, Green, Blue, Purple, Orange) appears. For example, suppose after spinning:

• Red: 2 times
• Green: 1 time
• Blue: 1 time
• Purple: 1 time
• Orange: 2 times

(Note: Actual results depend on the spinner’s sections—visually, the spinner has equal - looking sections? Wait, the spinner has 5 colors? Wait, looking at the spinner: Purple, Blue, Green, Red, Orange—so 5 sections? Wait, no, the spinner in the image: let's count the sections. From the pie chart: Purple, Blue, Green, Red, Orange—wait, no, maybe 5? Wait, the problem says spin 7 times. Let's assume we do the spins.

Step 2: Calculate Frequencies

After spinning 7 times, sum the frequencies (they should equal 7). Then, find which color has the highest frequency.

Step 3: Calculate Experimental Probability

Experimental probability of a color = $\frac{\text{Frequency of the color}}{\text{Total number of spins (7)}}$.

Example (Hypothetical Results):

Suppose after 7 spins:

• Red: 3
• Green: 1
• Blue: 1
• Purple: 1
• Orange: 1

Wait, no, 3 + 1+1+1+1 = 7. Then Red has the highest frequency (3). Experimental probability of Red = $\frac{3}{7}$.

But since the actual spinning needs to be done (the table is empty, so we have to perform the spins), the process is:

1. Spin the spinner 7 times, record each result.
2. Tally the frequency of each color (Red, Green, Blue, Purple, Orange).
3. Identify the color with the maximum frequency.
4. Calculate its experimental probability as $\frac{\text{Max Frequency}}{7}$.

Since the problem requires performing the experiment (spinning 7 times) to get the frequencies, the answer will depend on the actual spins. But the method is as above.

For example, if after spinning 7 times, Orange comes up 3 times (highest), then:

Step 1: Spin 7 Times

Perform 7 spins, record each color.

Step 2: Tally Frequencies

Count how many times each color (Red, Green, Blue, Purple, Orange) occurs.

Step 3: Find Highest Frequency

Identify the color with the most occurrences.

Step 4: Calculate Probability

Divide the highest frequency by 7 (total spins) to get experimental probability.

Answer:

Suppose Orange has the highest frequency (e.g., 3 times), experimental probability = $\frac{3}{7}$. (Actual answer depends on spin results.)