The histogram gives information about the distribution of the weights of some onions grown by a farmer - Edexcel - GCSE Maths - Question 22 - 2019 - Paper 3

Onions less than 60 grams (5 frequency density) represent:

Number of onions = height (5) x width (60) = 300.

Thus, 300 onions are used for pickling.

Onions greater than 120 grams can be computed from the histogram:

• From 120 to 180 grams: area = 240 (height 4, width 60)

Thus, number of onions sold at the market = 240.

The remaining onions can be determined by subtracting the quantities used for pickling and sold:

Total onions = 1110 - (300 for pickling + 240 sold) = 570 onions sent to the food processing factory.

To find the angle $x^\circ$ of the sector for the food processing factory:

Angle = $\frac{570}{1110} \times 360 = 185.45^\circ$.

Rounding to the nearest degree gives: $x = 185$.