How do you find the first and third quartiles, Q1 and Q3, of the following set of numbers 10, 4, 9, 14, 6, 11, 6, 1, 7, 6?

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How do you find the first and third quartiles, Q1 and Q3, of the following set of numbers 10, 4, 9, 14, 6, 11, 6, 1, 7, 6?

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Answer 1 · 2018-07-25T21:38:35

$Q_{1} = 6, Q_{3} = 10$ $Q_1=6,Q_3=10$

Explanation:

$We require the data to be in ascending order$ $"We require the data to be in ascending order"$

$1, x 4, x 6, x 6, x 6, ↑ x 7, x 9, x 10, x 11, x 14$ $1,color(white)(x)4,color(white)(x)color(red)(6),color(white)(x)6,color(white)(x)6,color(red)(uarr)color(white)(x)7,color(white)(x)9,color(white)(x)color(red)(10),color(white)(x)11,color(white)(x)14$

$Find the median of the data set$ $"Find the median of the data set"$

$the median is the middle entry in the data set. If not a$ $"the median is the middle entry in the data set. If not a "$
$value then the average of the values either side of the middle$ $"value then the average of the values either side of the middle"$

$In this case the median = \frac{6 + 7}{2} = 6.5$ $"In this case the median "=(6+7)/2=6.5$

$The quartiles are the middle entries to the left and right$ $"The quartiles are the middle entries to the left and right"$
$of the median$ $"of the median"$

$Q_{1} = 6 and Q_{3} = 10$ $Q_1=6" and "Q_3=10$

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How do you find the first and third quartiles, Q1 and Q3, of the following set of numbers 10, 4, 9, 14, 6, 11, 6, 1, 7, 6?

1 Answer

Explanation:

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