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Goshia
1 month ago
8

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

Mathematics
2 answers:
zzz [12.3K]1 month ago
4 0

Result:

The interquartile range for the data is:

                                4

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]1 month 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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Gabriel is designing equally sized horse stalls that are each in the shape of a rectangular prism. Each stall must be 9 feet hig
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The total volume is stated as 1080 cubic feet.

The height is specified to be 9 feet.

The length exceeds the width by 2 feet, meaning Length = x+2

If the stall measures 10 feet in width, then the corresponding length would be 10 +2 = 12 feet.

Calculating the volume yields 10 x 12 x 9 = 1080 cubic feet.


Therefore, it is feasible for the width to measure 10 feet.

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2 months ago
Read 2 more answers
Mark and robyn used base-ten blocks to show that 200 is 100 times as much as 2. Whose model makes sense whose model is nonsense?
babunello [11817]

Answer:

Robyn's model is logical, while Mark's is illogical.

Step-by-step explanation:

This question doesn't require calculations. What we need to do is analyze each model logically.

Mark's

Mark's representation indicates 20 instead of 2, which signifies that 200 is ten times greater than 20, making it nonsensical.

Robyn's

Robyn's representation displays 2, suggesting that 200 is 100 times greater than 2, which is not only accurate but also reasonable since 100 * 2 equals 200.

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