Question

The five-number summary for the weights (in grams) of 1200 tomatoes grown in a certain greenhouse is 90, 113.5, 140, 161, and 236. How many tomatoes weighed less than 161 grams?

Answer 1

The third quartile value in the five-number summary represents the weight below which 75% of the data falls. In this case, 900 out of 1200 tomatoes weighed less than 161 grams.

Step-by-step explanation:

The five-number summary given for the weights of tomatoes includes the following numbers: 90 (minimum), 113.5 (first quartile), 140 (median), 161 (third quartile), and 236 (maximum). The third quartile at 161 grams represents the weight below which 75% of the data falls. Since there are 1200 tomatoes in total, to find the number of tomatoes weighing less than 161 grams, we calculate 75% of 1200 tomatoes.

75% of 1200 = 0.75 × 1200 = 900 tomato

This implies that 900 tomatoes weighed less than 161 grams.