The Environmental Protection Agency (EPA) uses a measure called the Pollutant Standards Index (PSI) to measure air quality in a city. A PSI reading over 100 indicates a day when the air quality is considered unhealthy. The measurements represent the number of days in 1995 that the PSI was over 100 for metropolitan areas in the U. S. Midwest. Summary statistics are provided. 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 4, 4, 4, 4, 5, 7, 7, 11, 14

Required:
Draw the boxplot for this data we found no extreme outliers.

Please find attached the Box Plot Created with Microsoft Excel

The outliers are 11, and 14

Step-by-step explanation:

The given data is presented as follows;

0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 4, 4, 4, 4, 5, 7, 7, 11, 14

From the data, we have;

The first quartile, Q₁ = 1

The second quartile, (The median) Q₂ = 2.5

The third quartile, Q₃ = 4.75

Therefore, the interquartile range, IQR = Q₃ - Q₁ = 4.75 - 1 = 3.75

Therefore, the values above Q₃ + 1.5 × IQR are outliers

Q₃ + 1.5 × IQR = 4.75 + 1.5 × 3.75 = 10.375

Therefore, 11, and 14 are outliers

The boxplot created with Microsoft Excel is attached

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.