1. **State the problem:** We have outcomes from a spinner labeled 1, 2, 3, and 4, and the observed frequencies of these outcomes from players' results. We want to find which outcome's observed frequency is closest to its expected frequency. 2. **Identify the expected frequency:** Since the spinner has four equal sections, each outcome has an equal probability of $\frac{1}{4}$. 3. **Calculate total number of outcomes:** There are 7 players, so total outcomes $=7$. 4. **Calculate expected frequency for each outcome:** $$\text{Expected frequency} = \text{Total outcomes} \times \text{Probability} = 7 \times \frac{1}{4} = 1.75$$ 5. **List observed frequencies:** - Outcome 1: Anna, Steve, Jane = 3 times - Outcome 2: Ethan = 1 time - Outcome 3: No player got 3 = 0 times - Outcome 4: John, Carrie, Liz = 3 times 6. **Calculate the absolute difference between observed and expected frequencies:** - Outcome 1: $|3 - 1.75| = 1.25$ - Outcome 2: $|1 - 1.75| = 0.75$ - Outcome 3: $|0 - 1.75| = 1.75$ - Outcome 4: $|3 - 1.75| = 1.25$ 7. **Determine which outcome has the smallest difference:** Outcome 2 has the smallest difference of 0.75. **Final answer:** Outcome 2 has a frequency closest to its expected frequency.