# Histograms

## Trending Questions

**Q.**

Question 6

The marks obtained (out of 100) by a class of 80 students are given below:

MarksNumber of students10−20620−301730−501550−701670−10026

Construct a histogram to represent the data above.

**Q.**

Draw a histogram for the marks of students given below:

Marks:0−1010−3030−4545−5050−60No. of students83218106

None of these

**Q.**

Question 4

Draw a histogram to represent the following grouped frequency distribution

Age(in years)Number of teachers20−241025−292830−343235−394840−445045−493550−5412

**Q.**

Question 4

Prepare a continuous grouped frequency distribution from the following data.

Mid-PointFrequency5415825133512456

Also, find the size of class intervals.

**Q.**The monthly profits (in Rs.) of 100 shops are distributed as follows:

Profits per shop: | 0−50 | 50−100 | 100−150 | 150−200 | 200−250 | 250−300 |

No. of shops: | 12 | 18 | 27 | 20 | 17 | 6 |

Draw the frequency polygon for it.

**Q.**

Question 3

Draw a histogram of the following distribution.

Height(in cm)Number of students150−1537153−1568156−15914159−16210162−1656165−1685Total145

**Q.**

Draw, in the same diagram , a histogram and a frequency polygon to represent the following data which shows the monthly cost of living index of a city in a period of 2 years:

Cost of living index440−460460−480480−500500−520520−540540−560560−580580−600No. of months24353214

**Q.**The following table gives the height of trees:

Height | No. of trees |

Less than 7 Less than 14 Less than 21 Less than 28 Less than 35 Less than 42 Less than 49 Less than 56 |
26 57 92 134 216 287 341 360 |

Draw less than ogive and more than ogive.

**Q.**

Class mark12.517.522.527.532.537.542.5Frequency12172227302116

(a) From the distribution, given above, construct a frequency table.

(b) Use the table obtained in part (a) to draw : (i) a histogram, (ii) an ogive.

**Q.**Question 3

The following table gives production yield per hectare of wheat of 100 farms of a village.

Production yield (in kg/ha)50−5555−6060−6565−7070−7575−80Number of farms2812243816

Change the distribution to a more than type distribution and draw its ogive.

**Q.**Draw an ogive to represent the following frequency distribution:

Class-interval: | 0−4 | 5−9 | 10−14 | 15−19 | 20−24 |

Frequency: | 2 | 6 | 10 | 5 | 3 |

**Q.**

What is histogram?

**Q.**The marks scored by 750 students in an examination are given in the form of a frequency distribution table:

Marks | No. of student | Marks | No. of students |

600−640 640−680 680−720 720−760 |
16 45 156 284 |
760−800 800−840 840−880 |
172 59 18 |

Prepare a cumulative frequency table by less than method and draw an ogive.

**Q.**

The following table presents the number of illiterate males in the age group (10–34) in a town

Age Group10−1415−1920−2425−2930−34Number of males300980800580290

Draw a histogram to represent the above data

None of these

**Q.**

From the given histogram find the cumulative frequency for class interval 20-30.

- Bar Graph
- Frequency Polygon
- Pie Chart
- Histogram

**Q.**

Question 10

To draw a histogram to represent the frequency distribution.

Class interval5−1010−1515−2525−4545−75Frequency61210815

The adjusted frequency for the class 25 - 45 is:

A) 6

B) 5

C) 3

D) 2

**Q.**

While drawing a histogram for the discontinuous grouped data, if in case, the class intervals are given in the inclusive form, then in order to convert them into exclusive form, we must,

subtract the adjustment factor from all the lower limits and add it to all upper limits.

subtract the adjustment factor from all the lower limits and from all upper limits.

add the adjustment factor to all the lower limits to all upper limits.

add the adjustment factor to all the lower limits and subtract it from all upper limits.

**Q.**Draw a more than ogive for the data given below which gives the marks of 100 students.

Marks | 0−10 | 10−20 | 20−30 | 30−40 | 40−50 | 50−60 | 60−70 | 70−80 |

Number of students | 4 | 6 | 10 | 10 | 25 | 22 | 18 | 5 |

**Q.**

Look at the given Table and identify the correct Histogram which can be made using the data.

MarksNo.of students0−10210−20520−30930−40440−506

Take SCALE as : X-axis - 1cm = 10 Marks and Y-axis - 1cm = 2 students

**Q.**Find the median of the following frequency distribution:

Class | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 |

Frequency | 2 | 12 | 22 | 8 | 6 |

**Q.**

If the cumulative frequency at a particular class interval 30 -35 is 19 and the cumulative frequency at the next class -interval i.e 35-40 is 27 , the frequency at 35-40 is __________

10

3

18

8

**Q.**

Which of the following shows the correct histogram for the given data:

Class interval20−2525−3030−3535−4040−4545−50Frequency3024522846100

**Q.**

Question 5 (i)

The following table gives the life times of neon lamps:

Length (in hours)Number of lamps300−40014400−50056500−60060600−70086700−80074800−90062900−100048

(i) Represent the given information with the help of a histogram.

**Q.**

Find the number of nodes, arcs and regions in the following networks.

(i)

(ii)

(iii)

(iv)

**Q.**

Using the information from the given histogram which of the following is one of the points used to construct the corresponding ogive?

(28, 76)

(16, 20)

(9, 12)

(32, 81)

**Q.**The time required for students to do a science experiment and the number of students is shown in the following grouped frequency distribution table. Show the information by a histogram and also by a frequency polygon.

Time required for
experiment (minutes) |
20 - 22 | 22 - 24 | 24 - 26 | 26 - 28 | 28 - 30 | 30 - 32 |

No. of students | 8 | 16 | 22 | 18 | 14 | 12 |

**Q.**

If we draw a histogram for the class interval 15 - 30, what will be the height of the bar?

- 3
- 7
- 11
- 4

**Q.**

The following table shows the class mark and frequency. Find the highest class interval that the data can have

Class MarkFrequency558656751885259512

50-60

90-100

55-65

100-105

**Q.**The height of 50 girls of class X of a school are recorded as follows:

Height (in cm) | 135−140 | 140−145 | 145−150 | 150−155 | 155−160 | 160−165 |

Number of girls | 5 | 8 | 9 | 12 | 14 | 2 |

Draw a more than type ogive for the above data. [CBSE 2014]

**Q.**Convert the given class intervals in exclusive form.