The following box plot shows the number of years during which 24 schools have participated in an interschool swimming meet:

A box and whisker plot is drawn using a number line from 0 to 10 with primary markings and labels at 0, 5, 10. In between two primary markings are 4 secondary markings. The box extends from 1 to 6 on the number line. There is a vertical line at 3.5. The whiskers end at 0 and 8. Above the plot is written Duration of Participation. Below the plot is written Years.

At least how many schools have participated for 1 year or less?

6 schools
8 schools
12 schools
14 schools
Please explain, best answer and explanation gets brainliest

Question

hhazle97 hhazle97

04-06-2019
Mathematics

contestada

The following box plot shows the number of years during which 24 schools have participated in an interschool swimming meet:

A box and whisker plot is drawn using a number line from 0 to 10 with primary markings and labels at 0, 5, 10. In between two primary markings are 4 secondary markings. The box extends from 1 to 6 on the number line. There is a vertical line at 3.5. The whiskers end at 0 and 8. Above the plot is written Duration of Participation. Below the plot is written Years.

At least how many schools have participated for 1 year or less?

6 schools
8 schools
12 schools
14 schools
Please explain, best answer and explanation gets brainliest

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gshreya2005 gshreya2005 · Answer 1 · 2019-06-06T21:11:13+02:00

gshreya2005 gshreya2005

06-06-2019

Answer:

The answer is 6 schools.

In a box and whisker plot, every piece of whisker or box represents 25% of the whole number of schools.

The schools participated 1 year or less are represented by the left part of the whisker. Which stands for 25%.

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Step-by-step explanation:

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smecloudbird17 smecloudbird17 · Answer 2 · 2022-07-23T10:12:57+02:00

On analyzing the boxplot, we find that 6 schools have participated for 1 year or less.

What is a boxplot?

A boxplot is a standardized way of displaying the distribution of data based on a five number summary (minimum, first quartile (Q1), median, third quartile (Q3), and maximum).

The box extends from 1 to 6 on the number line. This implies first quartile (Q1) = 1 and third quartile (Q3) = 6.

There is a vertical line at 3.5, median = 3.5.

The whiskers end at 0 and 8, i.e., minimum = 0 and maximum = 8.

Since, Q1 = 1, this implies 25% of the schools participated for 1 year or less.

(First quartile (Q1) is the value under which 25% of data points are found when they are arranged in increasing order.)

Number of schools that have participated for 1 year or less = 25% of 24 = [tex]\frac{25}{100} * 24 = 6[/tex]

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