Question

Students measured the length of different earthworms using centimeters (cm).The lengths were:

14 cm, 12.5 cm, 13 cm, 18 cm, 17 cm, 16.75 cm, 19 cm, 12.5 cm, 15 cm

If the students were asked to describe the difference in length of the worms, which answer would be best and why? (5 points)

Group of answer choices

6.5 cm; this is found by determining the range which is found by finding the difference between the greatest length and the least length

12.5 cm; this is found by determining the mode which is found by finding the number that occurs most frequently in a data set

15 cm; this is found by determining the median which is found by ordering the numbers from least to greatest and finding the middle number

15.3 cm; this is found by determining the mean which is found by finding the sum of all of the lengths and dividing by the total number of worms

Answer 1

The correct option regarding the difference in the length of the worms is given by:

6.5 cm; this is found by determining the range which is found by finding the difference between the greatest length and the least length.

What is the range of a data-set?

It is given by the difference of the highest value by the lowest value in the data-set.

In this problem, the difference is exactly what we want to estimate, hence we need to consider all measures(which removes the mode and the median), and find the largest lowest and the highest, which is the range, hence:

19 cm - 12.5 cm = 6.5 cm.

Which means that the correct option is given by:

6.5 cm; this is found by determining the range which is found by finding the difference between the greatest length and the least length.

More can be learned about the range of a data-set at https://brainly.com/question/24374080

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