Which measure of center best represents this set of data? Number of television sets in the home: 4, 4, 2, 4, 4, 1, 3, 4, 2, 4 *
1 answer:
Answer:
Mean
Step-by-step explanation:
Given
Required
Best measure of center
The mean is considered the best measure of center when there are no outliers in the given data.
Outlier is when a particular data set is far away from other datasets.
For instance: 20 is an outlier in the following data sets:
Also, the given data are not open-ended.
An open-ended data is as follows:
Since we do not have any of the above conditions, then the mean is the best center to use.
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Answer:
At least 202.44 mm in the top 15%.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
How many yearly mm of rainfall would there be in the top 15%?
At least X mm.
X is the 100-15 = 85th percentile, which is X when Z has a pvalue of 0.85. So X when Z = 1.037.
At least 202.44 mm in the top 15%.