1. **Stating the problem:** We have two shops, Kirsty’s Kiosk and Oscar’s Outlet, each rated from 1 to 4 by customers. The bar chart shows frequencies for each rating, but bars E and F (one for each shop) are incomplete.
2. **Given conditions:**
- Both shops have the same modal rating frequency.
- Both shops have the same median rating.
3. **Understanding modal frequency:** The mode is the rating with the highest frequency. Since both shops have the same modal frequency, the highest frequency bars for both shops must be equal.
4. **Understanding median rating:** The median is the middle value when all ratings are ordered. Since ratings are from 1 to 4, the median depends on cumulative frequencies.
5. **Let’s denote:**
- For Kirsty’s Kiosk, frequency of rating 2 is E.
- For Oscar’s Outlet, frequency of rating 3 is F.
6. **From the problem, E = 1.5 and F = 1.5 (given).**
7. **Check modal frequency equality:**
- Kirsty’s Kiosk modal frequency is the highest frequency among ratings 1 to 4.
- Oscar’s Outlet modal frequency is the highest frequency among ratings 1 to 4.
8. **Check median equality:**
- Calculate cumulative frequencies for both shops and find the median rating.
9. **Conclusion:** The frequencies of bar E and bar F are both 1.5.
**Final answer:**
$$E = 1.5, \quad F = 1.5$$
Shop Ratings F2686E
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