Question

2/4 Marks

Frequency density
42/44 Marks
The histogram shows information about how 550 people travel to work.
40
35-
30-
25-
20-
15-
10-
5-
0+
0 5 10 15 20 25 30 35 40 45 50 55 60
Distance (miles)
56%
a) How many people travel more than 30 miles to work?
b) 205 of the 550 people travel further than Sam. Estimate how far Sam travels.

Answer 1

a) 100

b) 15 miles

Explanation:

Using the given histogram, you want to find (a) how many people travel more than 30 miles to work, and (b) how far Sam drives if 205 people drive farther.

A) More than 30 miles

The total shaded area of the histogram is 550 small squares, so we assume each shaded square represents a person that drives the corresponding number of miles.

Counting from the right side of the histogram, we find 4×25 = 100 small squares lie to the right of miles = 30.

100 people drive more than 30 miles to work.

B Sam's commute

The attachment provides the accumulated sum of shaded squares in each block of 5 miles, counting from the right. It tells us that 205 small squares lie to the right of the line x = 15 miles.

Sam's commute is about 15 miles.

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