Simply please “picture”
1 answer:
<h3>Answer: (-infinity, 7]</h3>
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Explanation:
The first interval (-infinity, 3) describes any number less than 3, so we can write x < 3 in short hand (where x is the unknown number).
The second interval (-1, 7] means we start at -1 and stop at 7. We do not include -1 but include 7. So we say that (ie x is between -1 and 7; exclude -1, include 7)
If you were to graph each ona number line, you would see that the too intervals have overlapping parts. The right most edge extends out as far as x = 7. There is no left most edge as it goes onforever that direction.
Therefore, the to intervals combine to get which turns into the interval notation answer of (-infinity, 7]
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It might help to think of it like this: x < 3 and say "x is some number that is less than 3, or it is between -1 and 7". So x could be anything less than 7, including 7 itself.
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Answer:
(A) The 25th percentile is 20.
(B) The mean of the data set is 20 and the median of the data set is 25. The data set is left-skewed.
Step-by-step explanation:
The data set arranged in ascending order is:
S = {15, 20, 22, 25, 28, 40, 55}
(A)
Compute the 25th percentile as follows:
Thus, the 25th percentile is 20. This value implies that exactly 25% of the observations are less than 20.
(B)
Compute the sample mean as follows:
Compute the median as follows:
For a set with odd number of observations, the median value if the middle value.
The middle value is 25.
Thus, the mean of the data set is 20 and the median of the data set is 25.
The Mean < Median.
This implies that the data set is left-skewed.