Statistical Analysis of Student Donations

Statistical Analysis of Student Donations

TGM Original

The table below shows a grouped data of donations collected by \(35\) students.

Donations

(\(\$x\))

\(0 < x \le 5\)\(5 < x \le 10\)\(10 < x \le 15\)\(15 < x \le 20\)\(20 < x \le 25\)\(25 < x \le 30\)
Frequency\(2\)\(2\)\(6\)\(6\)\(15\)\(a\)
  1. Find the value of \(a\).
  2. Using the information given above, copy and complete the following cumulative frequency table.

Donations

(\(\$x\) or less)

\(x \le 5\)\(x \le 10\)\(x \le 15\)\(x \le 20\)\(x \le 25\)\(x \le 30\)
Frequency
  1. Calculate the number of students who collected \(\$15\) or less.
  2. Calculate the number of students who collected more than \(\$20\).

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Answer:(a) \(a=4\). (b) \(2,4,10,16,31,35\). (c) \(10\) students. (d) \(19\) students.

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