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hichkok12 [17]
3 years ago
12

Q = {1.7, 1.1, 1.4, 2.1, 2.3, s}. What is the absolute difference between the greatest and least possible values of the median o

f set Q? Express your answer as a decimal to the nearest hundredth.
Mathematics
1 answer:
Daniel [21]3 years ago
6 0

Answer:

Absolute difference between the medians = 0.35

Step-by-step explanation:

After arranging Q in ascending order excluding s, we get

Q = {1.1, 1.4, 1.7, 2.1, 2.3}

Here, the median is 1.7 ( The middlemost value is the required median.)

Now, if s < 1.7,

Q= {1.1, s, 1.4, 1.7, 2.1, 2.3}

Now for the least value, median = 1.55

If s > 1.7,

Q = {1.1, 1.4, 1.7, 2.1, s, 2.3}

Now for the greatest value, median = 1.9

Absolute difference between the medians = |1.9 -1.55|

                                                                          = 0.35

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