### Question 1. Given below is the frequency distribution of the heights of 50 students of a class:

Class Interval | 140 – 145 | 145 – 150 | 150 – 155 | 155 – 160 | 160 – 165 |

Frequency | 8 | 12 | 18 | 10 | 5 |

### Draw a histogram representing the above data.

**Solution:**

To draw a histogram first construct x-axis and y-axis, where the x-axis represents class interval and the y-axis represents the frequency. Now, by taking suitable intervals from the given frequency table, we construct the rectangles as shown in the below figure.

### Question 2. Draw a histogram of the following data:

Class Interval | 10 – 15 | 15 – 20 | 20 – 25 | 25 – 30 | 30 – 35 | 35 – 40 |

Frequency | 30 | 98 | 80 | 58 | 29 | 50 |

**Solution:**

To draw a histogram first construct x-axis and y-axis, where the x-axis represents class interval and the y-axis represents the frequency. Now, by taking suitable intervals from the given frequency table, we construct the rectangles as shown in the below figure.

### Question 3. Number of workshops organized by a school in different areas during the last five years are as follows:

Years | No. of Workshops |

1995 – 1996 | 25 |

1996 – 1997 | 30 |

1997 – 1998 | 42 |

1998 – 1999 | 50 |

1999 – 2000 | 65 |

### Draw a histogram representing the above data.

**Solution:**

To draw a histogram first construct x-axis and y-axis, where the x-axis represents class interval and the y-axis represents the frequency. Now, by taking suitable intervals from the given frequency table, we construct the rectangles as shown in the below figure.

### Question 4. In a hypothetical sample of 20 people the amounts of money with them were found to be as follows:

### 114, 108, 100, 98, 101, 109, 117, 119, 126, 131, 136, 143, 156, 168, 182, 195, 207, 219, 235, 118.

### Draw the histogram of the frequency distribution (taking one of the class intervals as 50-100).

**Solution:**

First we create a frequency table using the given observations:

Class IntervalFrequency50 – 100 2 100 – 150 11 150 – 200 4 200 – 250 3 Now we draw a histogram using the frequency table:

### Question 5. Construct a histogram for the following data:

Monthly School Fee(in Rs) | 30-60 | 60-90 | 90-120 | 120-150 | 150-180 | 180-210 | 210-240 |

No. of Schools | 5 | 12 | 14 | 18 | 10 | 9 | 4 |

**Solution:**

To draw a histogram first construct x-axis and y-axis, where the x-axis represents monthly school fee(in Rs)

and y-axis represents the no. of schools. Now, by taking suitable intervals from the given frequency table, we construct the rectangles as shown in the below figure.

### Question 6. Draw a histogram for the daily earnings of 30 drug stores in the following table:

Daily Earnings(in Rs) | 450 – 500 | 500 – 550 | 550-600 | 600-650 | 650-700 |

No. of Stores | 16 | 10 | 7 | 3 | 1 |

** Solution:**

To draw a histogram first construct x-axis and y-axis, where x-axis represents monthly daily earnings(in Rs) and y-axis represents the no. of stores. Now, by taking suitable intervals from the given frequency table, we construct the rectangles as shown in the below figure.