What is the iqr (inter quartile range) for the data set? 27, 4, 54, 78, 27, 48, 79, 64, 5, 6, 41, 71?
2 answers:
Answer:
Step-by-step explanation:
The given data set is:
27, 4, 54, 78, 27, 48, 79, 64, 5, 6, 41, 71
Firstly, arrange the given data set in ascending order, we get
4, 5, 6, 27, 27, 41, 48, 54, 64, 71, 78, 79
Now, the first half of the given data set is 4, 5, 6, 27, 27, 41 , thus the middle value is Lower quartile that is:
And, the second half of the given data set is 48, 54, 64, 71, 78, 79, thusthe middle value is the upper quartile that is:
Now, Interquartile range is given as:
=
=
Thus, the Interquartile range is 51.
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<u>Given</u>:
The height of the bird at time t is given by the function
We need to determine the time it takes the worm to be eaten by the bird.
<u>Time taken:</u>
The time can be determined by substituting h(t) = 0 in the function.
Thus, we have;
Switch sides, we get;
Let us solve the equation using the quadratic formula.
Thus, we get;
Simplifying, we get;
The values of t are given by
and
and
and
Since, the value of t cannot be negative, then
Thus, the time taken by the bird to eat the worm is seconds.
Hence, Option B is the correct answer.