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# Calculate the mean of the scores of 20 students in a mathematics test

Marks10-20 20-30 30-40 40-50 50-60

Number of students 2 4 7 6 1

**Solution:**

Given, the above data represents the marks scored by the number of students in a mathematics test.

We have to determine the mean of the scores of 20 students.

Marks | Number of students (f) | Midpoint x | f × x |

10 - 20 | 2 | 15 | 30 |

20 - 30 | 4 | 25 | 100 |

30 - 40 | 7 | 35 | 245 |

40 - 50 | 6 | 45 | 270 |

50 - 60 | 1 | 55 | 55 |

Total | ∑f = 20 | ∑fx = 700 |

By direct method,

Mean = ∑fx / ∑f

From the table,

Mean = 700/20

= 70/2

= 35

Therefore, the mean is 35.

**✦ Try This: **Calculate the mean of the scores of 20 students in a mathematics test:

Marks | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 |

Number of students | 3 | 6 | 8 | 7 | 3 |

**☛ Also Check: **NCERT Solutions for Class 10 Maths Chapter 14

**NCERT Exemplar Class 10 Maths Exercise 13.3 Problem 2**

## Calculate the mean of the scores of 20 students in a mathematics test Marks 10-20 20-30 30-40 40-50 50-60 Number of students 2 4 7 6 1

**Summary:**

The mean of the scores of 20 students in a mathematics test is 35

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