The number of boots that 25 students had in their homes in Florida were recorded
1 answer:
Answer:
Min = 0; Q₁ = 0; Median = 2; Q₃ = 2; Max = 8
Step-by-step explanation:
Assume that your sorted data are
0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 5, 8
1. Minimum
Min = 0
2. Median
The median is the middle value in a sorted data set. There are 25 items, so the median is the 13th item.
Median = 2
3. First quartile
Q₁ is the median of the lower half of the data set.
The median of 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2 is 0.
Q₁ = 0
4. Third quartile
Q₃ is the median of the upper half of the data set.
The median of 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 5, 8 is 3.
Q₃ = 3
5. Maximum
Max = 8
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Given:
And
Required:
To find the two possible values of c.
Explanation:
Consider
So
And also given
Now from (1) and (2), we get
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We can interpret that either of a or b are equal to 3 or 5.
When a=3 and b=5, we have
When a=5 and b=3, we have
Final Answer:
The option D is correct.
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