It takes you 26 min to walk from home to the shop. If the distances are $A=0.7 \mathrm{~km}, B=1.2 \mathrm{~km}$, and $\mathrm{C}=0.5 \mathrm{~km}$ what was your average speed in $\mathrm{km} / \mathrm{h}$ ?

Step 1 ：Given that the distances are A = 0.7 km, B = 1.2 km, and C = 0.5 km, and it takes 26 minutes to walk from home to the shop.

Step 2 ：The total distance can be calculated by adding distances A, B, and C. So, the total distance is \(A + B + C = 0.7 + 1.2 + 0.5 = 2.4 \mathrm{~km}\).

Step 3 ：Since the speed is required in km/h, we need to convert the time from minutes to hours. So, the total time in hours is \(\frac{26}{60} = 0.43333333333333335 \mathrm{~hours}\).

Step 4 ：The average speed can be calculated by dividing the total distance by the total time. So, the average speed is \(\frac{2.4}{0.43333333333333335} = 5.538461538461538 \mathrm{~km/h}\).

Step 5 ：Rounding to two decimal places, the average speed is \(\boxed{5.54 \mathrm{~km/h}}\).