Organize the following marks in a class assessment, in a tabular form.

4,6,7,5,3,5,4,5,2,6,2,5,1,9,6,5,8,4,6,7

(i) Which number is the highest?

(ii) Which number is the lowest?

(iii) What is the range of the data?

(iv) Find the arithmetic mean.

According to the question,

At first,

We will draw the frequency table of the given data.

Hence,

Marks | Tally marks | Frequency |

1 | I | 1 |

2 | II | 2 |

3 | I | 1 |

4 | III | 3 |

5 |
| 5 |

6 | IIII | 4 |

7 | II | 2 |

8 | I | 1 |

9 | I | 1 |

(i) Now,

Clearly, The highest number among the given data is 9

(ii) Clearly, The lowest number among the given data is 1

(iii)

We know that,

Range = Highest value – Lowest value

Hence,

Range of the given data can be calculated as follows:

Range = highest number – lowest number

= 9 – 1

= 8

(iv) Here,

We have to find the arithmetic mean of the given data

Now,

At first,

We’ll find the sum of all the observations

Thus,

Sum of all the observations = 4 + 6 + 7 + 5 + 3 + 5 + 4 + 5 + 2 + 6 + 2 + 5 + 1 + 9 + 6 + 5 + 8 + 4 + 6 + 7 = 100

Now,

Total number of observations = 20

Hence,

=

= 5

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