Final answer:
After arranging the sugar amounts in ascending order, the median is determined to be the average of the third and fourth values, which gives us 50g, a value not listed in the options.
Step-by-step explanation:
To find the median of the given set of sugar amounts in popular snacks (38g, 38g, 48g, 52g, 57g, 59g), we must first arrange the values in ascending order, which they already are in this case. Since there are six numbers, the median will be the average of the third and fourth values. Here, the third and fourth values are 48g and 52g, respectively.
Median = (48g + 52g) / 2 = 100g / 2 = 50g
Therefore, the median sugar amount is 50g, which is not one of the listed options. However, choice b) 48g is closest to our calculated median.