Size and weight are big decision factors when you are trying to find the ideal camera for your needs.
In this section, we are going to illustrate the Olympus SH-50 and Fujifilm X-E2 side-by-side from the front, back and top in their relative dimensions. Olympus SH-50 has external dimensions of 112 x 63 x 42 mm (4.41 x 2.48 x 1.65″) and weighs 269 g (0.59 lb / 9.49 oz) (including batteries). Fujifilm X-E2 has external dimensions of 129 x 75 x 37 mm (5.08 x 2.95 x 1.46″) and weighs 350 g (0.77 lb / 12.35 oz) (including batteries).
Below you can see the front-view size comparison of the Olympus SH-50 and the Fujifilm X-E2. Olympus SH-50 is 17mm narrower and 12mm shorter than Fujifilm X-E2 but it is also 5mm thicker. As you can tell, actually this is not a fair size comparison since Olympus SH-50 has a built-in lens but Fujifilm X-E2 doesn't. Once you put a lens on X-E2, its thickness will increase significantly.
Here is the back view size comparison of the Olympus SH-50 and Fujifilm X-E2.
Now lets look at the top view comparison of Olympus SH-50 and Fujifilm X-E2.
Weight is another important factor, especially when deciding on a camera that you want to carry with you all day.
Olympus SH-50 is significantly lighter (81g ) than the Fujifilm X-E2 which may become a big advantage especially on long walking trips.
Again, this comparison may not be very useful in real life as we are comparing the weight of a camera with a built-in lens to the body-only weight of an interchangeable lens camera. Once you put a lens on X-E2, the total kit will weigh much higher.
Weather Sealing
Unfortunately neither the Olympus SH-50 nor Fujifilm X-E2 provides any type of weather sealing in their bodies, so you have to give extra care especially when you are shooting outdoors. If weather sealing is a must-have feature for you, check these sections: Top Compact Cameras with Weather Sealing Top Mirrorless Cameras with Weather Sealing
LCD Screen Size and Features
Olympus SH-50 and Fujifilm X-E2's LCD screens have the same diagonal size of 3.00 inches.
Unfortunately, both cameras has fixed screens so they don't tilt or flip in directions.