How do you make a box and whisker plot with the following numbers: 89, 122, 154, 163, 179, 204, 217, 258, 272, 291, 300, 302, 415, and 452?

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Answer 2

To create a box and whisker plot:

  1. Order the numbers from least to greatest:
    [ 89, 122, 154, 163, 179, 204, 217, 258, 272, 291, 300, 302, 415, 452 ]

  2. Find the median (middle value):
    [ \text{Median} = 217 ]

  3. Find the lower quartile (Q1) - the median of the lower half of the dataTo create a box and whisker plot:

  4. Order the numbers from least to greatest:
    [ 89, 122, 154, 163, 179, 204, 217, 258, 272, 291, 300, 302, 415, 452 ]

  5. Find the median (middle value):
    [ \text{Median} = 217 ]

  6. Find the lower quartile (Q1) - the median of the lower half of the
    [ Q1 = 163 ]

  7. Find the upper quartile (Q3) - the median of the upper half of the dataTo create a box and whisker plot:

  8. Order the numbers from least to greatest:
    [ 89, 122, 154, 163, 179, 204, 217, 258, 272, 291, 300, 302, 415, 452 ]

  9. Find the median (middle value):
    [ \text{Median} = 217 ]

  10. Find the lower quartile (Q1) - the median of the lower half of the
    [ Q1 = 163 ]

  11. Find the upper quartile (Q3) - the median of the upper half of the
    [ Q3 = 300 ]

  12. Calculate the interquartile range (IQR) - the difference between Q3 and Q1:
    [ IQR = Q3 - Q1 = 300 - 163 = 137 ]

  13. Determine the lower fence:
    [ \text{Lower Fence} = Q1 - 1.5 \times IQR = 163 - 1.5 \times 137 = - 73.5 ]

Since a negative value doesn't make sense in this context, we'll consider the minimum value instead.

  1. Determine the upper fence:
    [ \text{Upper Fence} = Q3 + 1.5 \times IQR = 300 + 1.5 \times 137 = 502.5 ]

  2. Identify any outliers. Values that fall below the lower fence or above the upper fence are considered outliers. In this dataset, there are no outliers.

  3. Create the box and whisker plot:

    • Draw a number line that includes the minimum value, Q1, the median, Q3, and the maximum value.
    • Draw a box from Q1 to Q3, with a line inside representing the median.
    • Draw "whiskers" extending from the box to the minimum and maximum values.

So, the box and whisker plot for the given dataset looks like this: [ \text{Minimum} = 89 ]
[ Q1 = 163 ]
[ \text{Median} = 217 ]
[ Q3 = 300 ]
[ \text{Maximum} = 452 ]

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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