Question

example: histogram
there are ____ water samples between 6.5 and 7.
example: box plot
5.8 5.9 6.1 6.3 6.5 6.5 6.8 6.8 6.9 7.0 7.1 7.1 7.2 7.2 7.3 7.4 7.4 7.5 7.5 7.6 7.6 7.6 7.9 8.0 8.1 8.1 8.2 8.4 8.4 8.6
minimum: ____
q1: ____
median: ____
q3: ____
maximum: ____
synthesis
the dot plot shows the shape of the data and it is easy to see the frequency of each value.
the box plot shows the median and gives an idea of the interval that contains the middle fifty percent of the data.
the histogram shows the number of values from the data set in a certain interval.
different displays allow us to notice information about the distribution of the data in different ways.
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Explanation:

Step1: Read frequency from histogram

From the histogram, the frequency of the interval 6.5 - 7 is 5.

Step2: Find minimum from data - set

The minimum value in the data - set 5.8 5.9 6.1 6.3 6.5 6.5 6.8 6.8 6.9 7.0 7.1 7.1 7.2 7.2 7.3 7.4 7.4 7.5 7.5 7.6 7.6 7.6 7.9 8.0 8.1 8.1 8.2 8.4 8.4 8.6 is 5.8.

Step3: Calculate Q1

The data - set has n = 30 values. The position of Q1 is $\frac{n + 1}{4}=\frac{30+ 1}{4}=7.75$. The 7th value is 6.8 and the 8th value is 6.8. So Q1 = 6.8.

Step4: Calculate median

The position of the median for n = 30 (an even - numbered data - set) is $\frac{n}{2}=15$ and $\frac{n}{2}+1 = 16$. The 15th value is 7.2 and the 16th value is 7.3. So the median is $\frac{7.2 + 7.3}{2}=7.25$.

Step5: Calculate Q3

The position of Q3 is $\frac{3(n + 1)}{4}=\frac{3\times(30 + 1)}{4}=23.25$. The 23rd value is 7.6 and the 24th value is 7.9. So Q3 = 7.6.

Step6: Find maximum from data - set

The maximum value in the data - set is 8.6.

Answer:

There are 5 water samples between 6.5 and 7.
Minimum: 5.8
Q1: 6.8
Median: 7.25
Q3: 7.6
Maximum: 8.6