Find the interquartile range (IQR) of the data in the dot plot below.
players
Players at each table
in Bev's bingo hall

Find the interquartile range IQR of the data in the dot plot below players Players at each table in Bevs bingo hall class=

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Answer: Put the numbers in order from least to greatest and find the median. 0,1,1,3,3,3,4,5,7. 3 is the median, so find quartile 1 and quartile 3.

Q1 is 1, and q3 is 5. To find the quartiles, find the median of the lower halves(leave the median we just found out of it.) You get 1 for the first half and 5 for the other.

The interquartile range (IQR), which is the difference of Q3 and Q1 is: 3.5

Recall:

  • Interquartile range (IQR) = Third Quartile - First Quartile

To find the interquartile range (IQR) of the data given in the dot plot, take the following steps:

Step 1: List all the data given in the dot plot (each dot represents a data plot)

The data points are: 0, 1, 1, 3, 3, 3, 4, 5, 7

Step 2: Find the First Quartile (the middle value of the first half of the data points).

0, (1, 1,) 3, 3, 3, 4, 5, 7

The average of 1 and 1 = the middle of the first half

  • First Quartile = 1 + 1 / 2 = 1

Step 3: Find the Third Quartile (the middle value of the second half of the data points).

0, 1, 1, 3, 3, 3, (4, 5,) 7

The average of 1 and 1 = the middle of the second half

  • Third Quartile = 4 + 5 / 2 = 4.5

Step 4: Find the Interquartile Range (IQR).

IQR = 4.5 - 1

IQR = 3.5

Therefore, the interquartile range (IQR), which is the difference of Q3 and Q1 is: 3.5

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