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The phrase "a total of five students" is correct and usable in written English.
You can use it when specifying the exact number of students in a particular context, such as a report or an academic setting.
Example: "In the final assessment, there were a total of five students who achieved a perfect score."
Alternatives: "a sum of five students" or "five students in total".
Exact(1)
She brought a total of five students and postdocs from California, and has recruited an additional five since arriving last year.
Similar(59)
The Independent understands that a total of seven students at the Bethnal Green Academy, including the trio who succeeded in travelling out of Britain last month, were identified by police as being potentially vulnerable to radicalisation as early as December last year after a fellow pupil travelled to Syria.
A total of nine students (N = 9; female = 3, male = 6) participated in the study.
In the second phase, a total of eleven students joined the design work groups with the aim of analysing the prototypes of the learning scenarios designed by teachers, bringing their own ideas and perspectives and thus validating the final designs.
A total of six students from the experimental and control groups indicated that they were pursuing certification in mathematics or science, which may differentially influence their perspectives of how evolution should be taught.
Since my first week at the college, a total of four students have committed suicide, and in the past five years alone nine have taken their own lives.
Apparently there was too much weed in the mix, as a total of six students fell ill as a result of eating them.
A total of two hundred thirty-four students (69%) ascertained that the parent had been administering acetaminophen to their child.
A total of four students (three men and one woman) were not included in this analysis, as they had chosen "other" without specifying which other specialty.
In contrast, a total of nine students chose one or both of the prompts as the most relevant parts of the question, and five students found the prompts confusing.
In addition a total number of five students were selected to participate in the focused group and were those who also participated in filling the questionnaires.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com