In an effort to reduce cheating in the capacity of maize bags delivered to Kenya National Cereals and Produce Store, researchers collected a sample of the bags and measured their weights in kilograms as shown below. This was to determine if the weight of each maize bag was actually 48 kilograms which is the recommended weight.

48, 48.3, 48.5, 49.5, 48, 49, 49.4, 49, 48.5, 49.9, 48, 48, 48.4, 49.7, 49, 36, 37.8, 38, 39.8, 39, 39.2, 40.1, 41, 41, 40, 41, 42, 40.2, 41.7, 41, 41.8, 43.7, 43, 42.4, 43.1, 42, 42.8, 43.9, 41.8, 43.2, 42, 43, 43, 43.1, 42, 43, 44, 44, 44, 44, 45, 44.2, 44.4, 45.5, 45.6, 45.9, 45, 45, 44, 45, 44, 45, 45, 44.8, 44.2, 44.9, 47.2, 46, 47, 47.9 ,47, 46, 47, 46.3, 46.2, 47.7, 47.9, 47, 47, 46, 47, 46, 47, 47.6, 46, 51, 50.6, 51, 50.7, 51.2, 50.2, 50.2, 51.3, 51.1, 51, 52.5, 52.4, 53, 52, 54, 55.9, 55.

Given that you are a statistic student, assist the researchers in achieving the following;

i. Clearly showing all steps, present the above data on an inclusive frequency distribution table using ten classes.

ii. Determine the percentage discrepancy in the weight of the maize bags if there is any.

iii. Determine if there is any type of imbalance in the weight of the maize measured.

iv. Determine if there is any type of imbalance in the weight of the maize measured compared to the recommended 48 kilograms and comment.