In math practice worksheet on data handling we will solve numerous types of questions on handling data, frequency distribution and on grouping data.

Worksheet on Data Handling

**1. Complete the given blank.**

(i) __________ is the quick way of recording the data.

(ii) A bar graph can be drawn using __________ or __________ bars.

(iii) Pictograph is the representation of data through __________.

(iv) __________ can be both numbers and words.

**2.** Carol wants to make a bar graph to show counts of 5, 20, 15 and 10. Which is a better scale for use? Circle the right answer.

(i) 1, 2, 3, 4, 5 ............ (ii) 5, 10, 15, 20 ............

**3.** Show the data in the table using a bar graph. Use a suitable scale.

**4.** Ms. Thomas asked each of her students about their favourite dessert. Based on their responses, she drew the bar graph.

Answers the following questions.

(i) Which is the favourite dessert and how many students made that choice?

(ii) How may students chose rasogolla as their favourite dessert?

(iii) What was the least favourite dessert?

(iv) How many more students selected jalebi than barfi?

(v) How many students are in the class?

**Questions on frequency distribution and data analysis:**

**5.** The number of members in 20 families are given below:

4, 6, 5, 5, 4, 6, 3, 3, 5, 5, 3, 5, 4, 4, 6, 7, 3, 5, 5, 7

Prepare a frequency distribution of data.

**6.** A dice was thrown 30 times and the following outcomes were noted:

2, 1, 2, 4, 6, 1, 2, 3, 6, 5, 4, 4, 3, 1, 1, 3, 1, 1, 5, 6, 6, 2, 2, 3, 4, 2, 5, 5, 6, 4

Prepare a frequency table.

**7.** The following data gives the number of children in 40 families:

1, 2, 6, 5, 1, 5, 1, 3, 2, 6, 2, 3, 4, 2, 0, 4, 4, 3, 2, 2, 0, 0, 1, 2, 2, 4, 3, 2, 1, 0, 5, 1, 2, 4, 3, 4, 1, 6, 2, 2

Represent it in the form of a frequency distribution.

**8.** The marks obtained by 40 students of a class in an examination are given below:

8, 47, 22, 31, 17, 13, 38, 26, 3, 34, 29, 11, 22, 7, 15, 24, 38, 31, 21, 35, 42, 24, 45, 23, 21, 27, 29, 49, 25, 48, 21, 15, 18, 27, 19, 45, 14, 34, 37, 34

Prepare a frequency distribution table with equal class intervals, starting from 0-10 (where 10 is not included).

**9.** The electricity bills (in dollars) of 25 houses of a certain locality for a month are given below:

324, 700, 617, 400, 356, 365, 435, 506, 548, 736, 780, 378, 570, 685, 312, 630, 584, 674, 754, 776, 596, 745, 565, 763, 472

Arrange the above data in increasing order and form a frequency table using equal class intervals, starting from 300-400, where 400 is not included.

**10.** The weekly wages (in dollars) of 28 workers of a factory are given below:

668, 610, 642, 658, 668, 620, 719, 720, 700, 690, 710, 642, 672, 654, 692, 706, 718, 702, 704, 678, 615, 640, 680, 716, 705, 615, 636, 656

Construct a frequency table with equal class intervals, taking the first of the class intervals as 610-630, where 630 is not included.

Worksheet on Data Handling**11.** The weekly pocket expenses (in dollars) of 30 students of a class are given below:

62, 80, 110, 75, 84, 73, 60, 62, 100, 87, 78, 94, 117, 86, 65, 68, 90, 80, 118, 72, 95, 72, 103, 96, 64, 94, 87, 85, 105, 115

Construct a frequency table with class intervals 60-70 (where 70 is not included) 70-80, 80-90 etc.**12.** The daily earnings (in dollars) of 24 stores in a market was recorded as under:

715, 650, 685, 550, 573, 530, 610, 525, 742, 680, 736, 524, 500, 585, 723, 545, 532, 560, 580, 545, 625, 630, 645, 700

Prepare a frequency table taking equal class sizes. One such class is 500-550, where 550 is not Included.

**13.** The heights (in cm) of 22 students were recorded as under:

125, 132, 138, 144, 142, 136, 134, 125, 135, 130, 126, 132, 135, 142, 143, 128, 126, 136, 135, 130, 130, 133

Prepare a frequency distribution table, taking equal class intervals and starting from 125 - 130, where 130 is not included.

**14.** Look at the bar graph given below and choose the right answer.

(i) Which festival is likes by maximum students?

(a) Holi (b) Diwali (c) Id (d) Christmas

(ii) Which festival is liked by minimum students?

(a) Holi (b) Diwali (c) Id (d) Christmas

(iii) Which festivals are liked by equal number of students?

(a) Diwali and Id (b) Holi and Christmas (c) Holi and Id (d) Diwali and Christmas

(iv) How many students like Holi?

(a) 3 (b) 4 (c) 6 (d) 20

(v) How many students like Id?

(a) 2 (b) 4 (c) 6 (d) 10

(vi) Which festival is liked by 10 students?

(a) 2 (b) 4 (c) 6 (d) 10

Answers for worksheet on data handling are given below to check the exact answers of the given questions in data handling.

**1.** (i) Tally marks

(ii) horizontal, vertical

(iii) pictures

(iv) data

**2.** (ii)

**4.** (i) Gulab jamun, 14

(ii) 12

(iii) Barfi

(iv)

(v)

**5.**

Number of members |
3 | 4 | 5 | 6 | 7 |

Frequency |

**6.**

Outcome |
1 | 2 | 3 | 4 | 5 | 6 |

Frequency |

**7.**

Wages (in Dollars) |
1 | 3 | 4 | 5 | 6 | ||

Frequency |

**8.**

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

Frequency |

**9.**

Amount of the bill (in Dollars) |
300 - 400 | 400 - 500 | 500 - 600 | 600 - 700 | 700 - 800 |

Frequency |

**10.**

Wages(in Dollars) |
610-630 | 630-650 | 650-670 | 670-690 | 690-710 | 710-730 |

Frequency |

**11.**

Expenses (in Dollars) |
60 - 70 | 70 - 80 | 80 - 90 | 90 - 100 | 100 - 110 | 110 - 120 |

Frequency |

**12.**

Daily earnings (in Dollars) |
500 - 550 | 550 - 600 | 600 - 650 | 650 - 700 | 700 - 750 |

Frequency |

**13.**

Height(in cm) |
125 - 130 | 130 - 135 | 135 - 140 | 140 - 145 |

Frequency |

**14.** (i) (a)

(ii) (c)

(iii) (d)

(iv) (d)

(v) (d)

(vi) (c)

● **Data Handling**

● **Data Handling - Worksheet**

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