The table below shows the frequency distribution of the weights, in grams, for a sample of 80 manufactured components. | Weight (grams) | Frequency | | :--- | :--- | | 100–109 | 12 | | 110–119 | 24 | | 120–129 | 28 | | 130–139 | 16 | What percentage of the components in the sample have a weight of a

The table below shows the frequency distribution of the weights, in grams, for a sample of… — GRE General Test

The table below shows the frequency distribution of the weights, in grams, for a sample of 80 manufactured components.

Weight (grams)	Frequency
100–109	12
110–119	24
120–129	28
130–139	16

What percentage of the components in the sample have a weight of at least 120 grams?

Answer: 55 %

Answer

55%

To calculate the percentage of components with a weight of at least 120 grams, sum the frequencies of all weight intervals corresponding to 120 grams or more:

28 + 16 = 44

. Next, divide this count by the total number of components (

80

) and multiply by

100

\frac{44}{80} \times 100\% = 55\%

Step-by-Step Solution

Identify the number of components with weight at least 120 grams

44 components

The weight intervals '120–129' and '130–139' contain 28 and 16 components respectively, giving

28 + 16 = 44

Calculate the percentage relative to the total sample size of 80 components

55%

Dividing the target count (44) by the total sample size (80) and multiplying by 100 yields

\frac{44}{80} \times 100 = 55\%

Key Concept

Calculating class percentages from grouped frequency tables

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