Before we start discussing the health benefits of bananas, here is some nutritional information for a serving of banana (source - these numbers can be slightly different when obtained from a different source):
Serving size = 1 medium sufficiently ripe banana [about 7″ long and 126 grams (0.28 pounds) in weight]
Total Fat = 0 g; Cholesterol = 0 g; Calories = 110
Potassium = 400 mg (10% of daily recommended value)
Dietary Fiber = 4 g (16% of daily recommended value)
Sugar = 14.8 g; Protein = 1 g (2% of daily recommended value)
Vitamin C = 16% of daily recommended value
Vitamin B6 = 20% of daily recommended value

Bananas are good for your heart and nerves: Bananas contain a high dose of potassium - an essential ingredient to keep your heart and nervous system in good shape. Potassium is essential for proper muscle contraction and hence plays an important role in muscle-influenced activities including: the normal rhythmic pumping of the heart, digestion, muscular movements, etc., Some studies have also linked low potassium intake to high blood pressure and increased risk of stroke. Most Americans don’t get enough potassium in their diet (recommended dose is about 4 g per day) - blame it on our fast food culture. Including a banana (or two) in your diet everyday would take you a step closer towards getting your daily recommended dose of potassium (references: American Heart Association, University of Maryland Medical Center, Colorado State University).