Question

a teacher wishes to distribute 15 identical pieces of candy among 4 students, based on how many pages of a book they read last month. the table below lists the total number of pages read by each student.
answer the following questions. round all answers to 4 decimal places as appropriate.
find the standard divisor: ( sd=)
find the standard quota for joni: ( sq=)
find the lower quota for joni: ( lq=)
find the upper quota for joni: ( uq=)

Explanation:

Step1: Calculate total pages

Total pages \( T=555 + 655+255 + 480=1945\)

Step2: Find standard divisor \(SD\)

\(SD=\frac{T}{n}\), where \(n = 15\) (number of candies). So \(SD=\frac{1945}{15}\approx129.6667\)

Step3: Find standard quota \(SQ\) for Joni

Joni's pages \(P = 255\). \(SQ=\frac{P}{SD}=\frac{255}{129.6667}\approx1.9665\)

Step4: Find lower quota \(LQ\) for Joni

\(LQ=\lfloor SQ
floor\), so \(LQ = 1\) (using the floor function)

Step5: Find upper quota \(UQ\) for Joni

\(UQ=\lceil SQ
ceil\), so \(UQ=2\) (using the ceiling function)

Answer:

\(SD\approx129.6667\)
\(SQ\approx1.9665\)
\(LQ = 1\)
\(UQ=2\)