A farmer is growing large pumpkins. A crop of 100 pumpkins includes 25 weighing 25lbs, 55 weighing 35 lbs and 20 weighing 45 lbs. What is the mean and variance?

a) Mean = 35 lbs, Variance = 225 lbs²
b) Mean = 35 lbs, Variance = 245 lbs²
c) Mean = 35 lbs, Variance = 265 lbs²
d) Mean = 35 lbs, Variance = 275 lbs²