Question

which data set has the smallest interquartile range? A.0,0,0,1,3,5,10 B.0,2,2,2,5,6,6 C.2,3,5,5,6,10,11 D.5,8,10,11,15,15

Answer 1

Data set B: 0, 2, 2, 2, 5, 6, 6 has the smallest interquartile range of 4.

Step-by-step explanation:

The interquartile range measures the spread of data within the middle 50% of a data set. To find the interquartile range, we first need to find the first quartile (Q1) and the third quartile (Q3). Then, we subtract Q1 from Q3 to find the interquartile range. Let's calculate the interquartile range for each data set:

Data set A:

0, 0, 0, 1, 3, 5, 10

Q1 = 0, Q3 = 5

Interquartile range = 5 - 0 = 5

Data set B:

0, 2, 2, 2, 5, 6, 6

Q1 = 2, Q3 = 6

Interquartile range = 6 - 2 = 4

Data set C:

2, 3, 5, 5, 6, 10, 11

Q1 = 4, Q3 = 10

Interquartile range = 10 - 4 = 6

Data set D:

5, 8, 10, 11, 15, 15

Q1 = 7.5, Q3 = 13

Interquartile range = 13 - 7.5 = 5.5

The data set with the smallest interquartile range is data set B: 0, 2, 2, 2, 5, 6, 6. The interquartile range for this data set is 4.

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