1. **Problem Statement:** Calculate the Mean expenditure from the given class intervals and frequencies. 2. **Formula for Mean of grouped data:** $$\bar{x} = \frac{\sum f x}{\sum f}$$ where $f$ is the frequency and $x$ is the class midpoint. 3. **Calculate midpoints ($x$) for each class interval:** - For 10–19: $\frac{10+19}{2} = 14.5$ - For 20–29: $\frac{20+29}{2} = 24.5$ - For 30–39: $\frac{30+39}{2} = 34.5$ - For 40–49: $\frac{40+49}{2} = 44.5$ - For 50–59: $\frac{50+59}{2} = 54.5$ 4. **Multiply frequencies by midpoints ($f x$):** - $4 \times 14.5 = 58$ - $10 \times 24.5 = 245$ - $18 \times 34.5 = 621$ - $12 \times 44.5 = 534$ - $6 \times 54.5 = 327$ 5. **Sum frequencies and $f x$ values:** - $\sum f = 4 + 10 + 18 + 12 + 6 = 50$ - $\sum f x = 58 + 245 + 621 + 534 + 327 = 1785$ 6. **Calculate Mean:** $$\bar{x} = \frac{1785}{50} = 35.7$$ **Final answer:** The mean monthly administrative expenditure is $35.7$ (N’000).