Question

opportunities.
3. Calculate Q1 & Q3 for given data. 40, 85,82, 84, 69, 83, 68, 45, 64, 65, 55

Answer 1

Answer:

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2. Amswer: 40,55.

Answer 2

Answer :

Q1 = 55 and Q3 = 83.5

Explanation :

To find,

Q1 & Q3

Given,

40, 85,82, 84, 69, 83, 68, 45, 64, 65, 55

The first quartile (Q1) and the third quartile (Q3) are measures of the central tendency of a data set. They divide the data into four equal parts: the first 25% of the data is represented by Q1, the middle 50% is represented by the median (Q2), and the last 25% is represented by Q3.

To calculate Q1 and Q3, we first need to arrange the data in ascending order: 40, 45, 55, 64, 65, 68, 69, 82, 83, 84, 85. Then:

Q1 = median (lower half of the data)

Q3 = median (upper half of the data)

Since the number of data points (11) is odd, we can simply take the middle value for Q2, which is 69. To find Q1 and Q3, we take the median of the lower and upper halves of the data, respectively:

Q1 = median (40, 45, 55, 64, 65) = 55

Q3 = median (82, 83, 84, 85) = 83.5

So the final answer is Q1 = 55 and Q3 = 83.5.

To know more about the concept please go through the links :

https://brainly.in/question/20359928

https://brainly.in/question/32264988

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