The CLT is related to the distribution of the sum of distributions (or average)
So what do you try to do with the data?
Since there are more than 30 observations and the data seems only slightly skewed you can assume the sum/average distribute normally.
You can check the normality and skewed level using the:http://www.statskingdom.com/320ShapiroWilk.html
But this is going back to the question of the use, for example, I wouldn't run a normality check if I want to compare averages of such a big slightly skewed data.
The question only asked for this "Calculate the weekly return for BIT and construct a histogram. Does the data on return rates appear
normally distributed? On the basis of z-scores do you find evidence of outliers?"