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9 days ago

The data set represents the number of rings each person in a room is wearing.

Mathematics

2 answers:

zzz [12.3K]9 days ago

4 0

Result:

The interquartile range for the data is:

Detailed explanation:

A data set is provided as:

0, 2, 4, 0, 2, 3, 2, 8, 6

Arranging this data in ascending order results in:

0 0 2 2 2 3 4 6 8

The lowest value in the data set=0

Highest value in the data set is: 8

Data set's range= Highest value-Lowest value

i.e. Range= 8-0

i.e. Range= 8

The median, which represents the central value of the data, is calculated as:

Median= 2

The lower half of the data consists of:

0 0 2 2

Hence, the median of this lower half is the lower quartile or first quartile.

Thus, $Q_1$

Therefore, $Q_1=\dfrac{0+2}{2}\\\\\\Q_1=\dfrac{2}{2}\\\\\\Q_1=1$

Thus, Lower quartile=1

Similarly, the upper half of the data includes:

3 4 6 8

Consequently, the median for this upper half is the upper quartile or third quartile.

Thus, $Q_3$

Thus, $Q_3=\dfrac{4+6}{2}\\\\\\Q_3=\dfrac{10}{2}\\\\\\Q_3=5$

Therefore, Upper quartile=5

Thus, the interquartile range (IQR) can be expressed as:

IQR=Upper quartile-Lower quartile

IQR=5-1

IQR=4

Inessa [12.5K]9 days ago

3 0

For the given data set reflecting the number of rings each individual is wearing: 0,2,4,0,2,3,2,8,6, the interquartile range is determined to be 2. Here, Q1 equals 4, the median or Q2 is 3, and Q3 is 6. The method for calculating the interquartile range is IQR = Q1 - Q2.

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Step-by-step explanation:

We have

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Step-by-step explanation:

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