Question

The histogram below shows information about the weights (in kg) of all the packages Colin needs to send out today for his business. What fraction of packages weigh less than 30kg?

Answer 1

Answer:

$Fraction = \frac{3}{8}$

Step-by-step explanation:

Given

See attachment for histogram

Required

Fraction less than 30 kg

First, we list out the packages and frequencies

$x \to frequency$

$0 - 9 \to 0.55\\10 - 19 \to 0.55\\20 - 29 \to 1.90 \\30 - 39 \to 0.20\\40 - 49 \to 0.75\\50 - 59 \to 0.75\\60 - 69 \to 1.65\\70 - 79 \to 1.65$

The total frequency is:

$Total = 0.55 + 0.55 +1.90 +0.20 + 0.75 + 0.75 + 1.65 + 1.65$

$Total = 8$

The packages less than 30 kg are:

$x \to frequency$

$0 - 9 \to 0.55\\10 - 19 \to 0.55\\20 - 29 \to 1.90$

The total frequencies less than 30 kg are:

$Less\ 30= 0.55 + 0.55 + 1.90$

$Less\ 30= 3$

So, the fraction less than 30 kg is:

$Fraction = \frac{Less\ 30}{Total}$

$Fraction = \frac{3}{8}$