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On a recent trip to the beach, Jaya collected seashells. The lengths of the seashells were measured in inches. The five-number summary of seashell lengths is shown below:

- Minimum: 2 inches
- Median: 3.5 inches
- Maximum: 7 inches
- Q1: 5 inches
- Q3: 6.2 inches

Answer the following questions:

A) What percentage of the seashells collected by Jaya were between 3.5 and 7 inches?

B) What percentage of the seashells collected by Jaya were between 2 and 5 inches?

C) What percentage of the seashells collected by Jaya were more than 5 inches?

D) What was the range of lengths of the seashells collected by Jaya?

Answer :

Final answer:

To find the percentages and range of seashell lengths collected by Jaya, use cumulative frequencies and basic calculations.

Explanation:

a) To find the percentage of seashells between 3.5 and 7 inches, we can subtract the cumulative frequency of seashells less than 3.5 inches from the cumulative frequency of seashells less than 7 inches, and then divide that by the total number of seashells. In this case, it would be (15-3)/(23) = 12/23 = 52.17%.

b) To find the percentage of seashells between 2 and 5 inches, we can subtract the cumulative frequency of seashells less than 2 inches from the cumulative frequency of seashells less than 5 inches, and then divide that by the total number of seashells. In this case, it would be (8-3)/(23) = 5/23 = 21.74%.

c) To find the percentage of seashells more than 5 inches, we can subtract the cumulative frequency of seashells less than 5 inches from the total number of seashells, and then divide that by the total number of seashells. In this case, it would be (23-15)/(23) = 8/23 = 34.78%.

d) The range of lengths of seashells collected by Jaya can be calculated by subtracting the minimum length from the maximum length. In this case, it would be 7 - 2 = 5 inches.

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Rewritten by : Barada

a) Not possible to determine the percentage of the length of seashells collected by Jaya that were between 3.5 and 7 inches.

b) 25% of the length of seashells collected by Jaya were between 2 and 3.5 inches.

c) It is not possible to determine the percentage of the length of seashells collected by Jaya that were more than 5 inches based on the information provided.

d) The range of lengths of seashells collected by Jaya was = 4.2 inches.

In statistics, the range is the difference between the highest and lowest values for a particular data collection.

For instance, if the provided data set is 2,5,8,10,3, the range is 10 - 2 = 8.

As a result, the range may alternatively be defined as the difference between the highest and lowest observations.

a) It is not possible to determine the percentage of the length of seashells collected by Jaya that were between 3.5 and 7 inches based on the information provided.

b) 25% of the length of seashells collected by Jaya were between 2 and 3.5 inches.

c) It is not possible to determine the percentage of the length of seashells collected by Jaya that were more than 5 inches based on the information provided.

d) The range of lengths of seashells collected by Jaya was 6.2 - 2 = 4.2 inches.

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