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grade 7 data literacy mid–chapter quiz total: 1. pets co. had a huge sa…

Question

grade 7 data literacy mid–chapter quiz total:

  1. pets co. had a huge sale in their store for the weekend with everything being on sale! the number of people who purchased an item were recorded in the table below.

a) fill in the relative frequency column: pets co. sales

categoryfrequencyrelative frequency (%)
cats80
dogs95
other20

b) what two categories were the most popular over the weekend? explain.

Explanation:

Part (a)

Step 1: Calculate Total Frequency

First, find the total frequency by adding all the frequencies: \( 5 + 80 + 95 + 20 = 200 \).

Step 2: Calculate Relative Frequency for Birds

Relative Frequency (\%) for Birds: \( \frac{5}{200} \times 100 = 2.5\% \).

Step 3: Calculate Relative Frequency for Cats

Relative Frequency (\%) for Cats: \( \frac{80}{200} \times 100 = 40\% \).

Step 4: Calculate Relative Frequency for Dogs

Relative Frequency (\%) for Dogs: \( \frac{95}{200} \times 100 = 47.5\% \).

Step 5: Calculate Relative Frequency for Other

Relative Frequency (\%) for Other: \( \frac{20}{200} \times 100 = 10\% \).

Brief Explanations

To determine the most popular categories, we compare the frequencies (or relative frequencies). Dogs have a frequency of 95, and Cats have 80, which are the two highest frequencies among the categories.

Answer:

(for part a table):

CategoryFrequencyRelative Frequency (%)
Cats8040
Dogs9547.5
Other2010
Part (b)