Question

Please help me solve the answers​

Answer 1

The modal and mean mark of the frequency distribution is 5 and 4.83 respectively.

Mean and mode

Mode refers to a mark which reoccurs most in a frequency distribution.

• Modal mark = 5

The total number of students who wrote the test = 2 + 3 + 4 + 6 + 10 + 4 + 3 + 2 + 1 + 1

= 36 students

Mean mark = Total mark / Total students

= (2×1) + (3×2) + (4×3) + (6×4) + (10×5) + (4×6) + (3×7) + (2×8) + (1×9) + (1×10) / 36

= (2+6+12+24+50+24+21+16+9+10 / 36

= 174/36

= 4.83333333333333

Approximately,

Mean mark = 4.83

If 25% of students failed,

Number of students who failed = 25% of 36

= 25/100 × 36

= 0.25 × 36

= 9 students.

Learn more about mean and mode:

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