The interquartile range (IQR) is the difference between quartile 3 and quartile 1. In this data set the IQR = 6
4,5,6,6,7,8,9,9,10,10,12,12,14,15
Q1 = 6
Q2 = 9
Q3 = 12
IQR = Q3 - Q1 = 12 - 6 = 6
Answer:
The minimum score required for a letter of recognition is 631.24.
Step-by-step explanation:
Problems of normally distributed samples are solved using 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 problem, we have that:

What is the minimum score required for a letter of recognition
100 - 10 = 90th percentile, which is the value of X when Z has a pvalue of 0.9. So X when Z = 1.28.




The minimum score required for a letter of recognition is 631.24.
Answer:
225
Step-by-step explanation:
A = 5. 3A = 3(5) cubed. So 3 times 5 is 15. 15 cubed is 225.