The document RD Sharma Solutions -Ex-22.1 (Part - 2), Tabular Representation Of Statistical Data, Class 9, Maths Class 9 Notes | EduRev is a part of the Class 9 Course RD Sharma Solutions for Class 9 Mathematics.

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**Q13. Write the class size and class limits in each of the following:**

**(i) 104,114,124,134,144,154 and 164.**

**(ii) 47,52,57,62,67,72,78,82,87,92,97,102.**

**(iii) 12.5, 17.5, 22.5, 27.5, 32.5, 37.5, 42.5, 47.5.**

**Solution 13:**

** ****(1) 104,114,124,134,144,154 and 164.**

Class size = 114-104 = 10

Class mark | Lower class limit | Upper class limit | Class limit |

104 | 99-109 | ||

114 | 109-119 | ||

124 | 119 | 129 | 119-129 |

134 | 129 | 139 | 129-139 |

144 | 139 | 149 | 139-149 |

154 | 149 | 159 | 149-159 |

164 | 159 | 169 | 159-169 |

**(2) 47,52,57,62,67,72,78,82,87,92,97,102.**

Class size = 52-47 = 5

Class mark | Lower class limit | Upper class limit | Class limit |

47 | 44.5-49.5 | ||

52 | 49.5 | 54.5 | 49.5-54.5 |

57 | 54.5 | 59.5 | 54.5-59.5 |

62 | 59.5 | 64.5 | 59.5-64.5 |

67 | 64.5 | 69.5 | 64.5-69.5 |

72 | 69.5 | 74.5 | 69.5-74.5 |

77 | 74.5 | 79.5 | 74.5-79.5 |

82 | 79.5 | 84.5 | 79.5-84.5 |

87 | 84.5 | 89.5 | 84.5-89.5 |

92 | 89.5 | 94.5 | 89.5-94.5 |

97 | 94.5 | 99.5 | 94.5-99.5 |

102 | 99.5 | 104.5 | 9.5-104.5 |

**(3)12.5, 17.5, 22.5, 27.5, 32.5, 37.5, 42.5, 47.5.**

Class size = 17.5-12.5 = 5

Class mark | Lower class limit | Upper class limit | Class limit |

12.5 | 12.5-2.5 = 10 | 12.5+2.5 = 15 | 10-15 |

17.5 | 17.5-2.5 = 15 | 17.5+2.5 = 20 | 15-20 |

22.5 | 22.5-2.5 = 20 | 22.5+2.5 = 25 | 20-25 |

27.5 | 27.5-2.5 = 25 | 27.5+2.5 = 30 | 25-30 |

32.5 | 32.5-2.5 = 30 | 32.5+2.5 = 35 | 30-35 |

37.5 | 37.5-2.5 = 35 | 37.5+2.5 = 40 | 35-40 |

42.5 | 42.5-2.5 = 40 | 42.5+2.5 = 45 | 40-45 |

47.5 | 47.5-2.5 = 45 | 47.5+2.5 = 50 | 45-50 |

**Q14. Following data gives the number of children in 40 families:**

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

**Represent it in the form of a frequency distribution.**

**Solution 14:**

Number of children | Tally marks | Number of families |

0 | |||| | 5 |

1 | |||| || | 7 |

2 | |||| |||| || | 12 |

3 | |||| | 5 |

4 | |||| | | 6 |

5 | ||| | 3 |

6 | ||| | 3 |

**Q15. Marks scored by 40 students of class IX in mathematics are given below:**

**81,55,68,79,85,43,29,68,54,73,47,35,72,64,95,44,50,77,64,35,79,52,45,54,70,83,62,64,72,92,84,76,63,43,54,38,73,68,52,54.**

** ****Prepare a frequency distribution with class size of 10 marks.**

**Solution 15:**

Marks | Tally marks | Frequency |

20-30 | | | 1 |

30-40 | ||| | 3 |

40-50 | |||| | 5 |

50-60 | |||| ||| | 8 |

60-70 | |||| ||| | 8 |

70-80 | |||| |||| | 9 |

80-90 | |||| | 4 |

90-100 | || | 2 |

Total = 40 |

**Q16. Heights (in cm) of 30 students of class IX are given below:**

**155,158,154,158,160,148,149,150,153,159,161,148,157,153,157,162,159, 151, 154, 156 , 152 , 156 , 160, 152, 147, 155, 163, 155 , 157 , 153.**

**Prepare a frequency distribution table with 160-164 as one of the class intervals.**

**Solution 16:**

Height(in cm) | Tally marks | Frequency |

145-149 | |||| | 4 |

150-154 | |||| |||| | 9 |

155-159 | |||| |||| || | 12 |

160-164 | |||| | | 6 |

Total = 30 |

**Q17. The monthly wages of 30 workers in a factory are given below:**

**830, 835, 890, 810, 835, 836, 869, 845, 898, 890, 820, 860, 832, 833, 855, 845, 804, 808, 812, 840, 885, 835, 836, 878, 840, 868, 890, 806, 840, 890.**

**Represent the data in the form of a frequency distribution table with class size 10.**

**Solution 17:**

Height(in cm) | Tally marks | Frequency |

800-810 | ||| | 3 |

810-820 | || | 2 |

820-830 | || | 1 |

830-840 | |||| ||| | 8 |

840-850 | |||| | 5 |

850-860 | | | 1 |

860-870 | ||| | 3 |

870-880 | | | 1 |

880-890 | | | 1 |

890-900 | |||| | 5 |

Total = 30 |

**Q18. The daily maximum temperatures (in degree Celsius) recorded in a certain city during the month of November are as follows:**

**25.8,24.5,25.6,20.7,21.8,20.5,20.6,20.9,22.3,22.7,23.1,22.8,22.9,21.7,21.3,20.5,20.9,23.1,22.4, ****21.5,22.7,22.8,22.0,23.9,24.7,22.8,23.8,24.6,23.9,21.1.**

**Represent the data in the form of a frequency distribution table with class size ****1** **10CC.**

**Solution 18:**

Maximum temperature(in degree Celsius) | Tally marks | Frequency |

20.0-21.0 | |||| | | 6 |

21.0-22.0 | |||| | 5 |

22.0-23.0 | |||| |||| | 9 |

23.0-24.0 | |||| | 5 |

24.0-25.0 | ||| | 3 |

25.0-26.0 | || | 2 |

Total = 30 |

**Q19. Construct a frequency table with equal class intervals from the following data on the monthly wages (in rupees) of 28 laborers working in a factory, taking one of the class intervals as 210-230(230 not included).**

**220,268,258,242,210,268,272,242,311,290,300,320,319,304,302,218,306,292,254,278,210,240,280,316,306,215,256,236. **

**Solution 19:**

Monthly wages(in rupees) | Tally marks | Frequency |

210-230 | |||| | 4 |

230-250 | |||| | 4 |

250-270 | |||| | 5 |

270-290 | ||| | 3 |

290-310 | |||| || | 7 |

310.0-330.0 | |||| | 5 |

Total = 28 |

**Q20 The daily minimum temperatures in degree Celsius recorded in a certain arctic region are as follows:**

**-12.5,-10.8,-18.6,-8.4-10.8,-4.2,-4.8,-6.7,-13.2,-11.8,-2.3,-1.2,**

**-2.6,0,2.4,0,3.2,2.7,3.4,0,-2.4,-2.4,0,3.2,2.7,3.4,0,-2.4,-5.8,-8.9,-14.6,-12.3,**

**-11.5,-7.8,-2.9.**

**Represent them as frequency distribution table taking -19.9 to -15 as the first class interval.**

**Solution 20:**

Since first class interval is -19.9 to -15, frequency distribution with lower limit included and upper limit excluded is:

Temperature | Tally marks | Frequency |

-19.9 to -15 | || | 2 |

-15 to -10.1 | |||| || | 7 |

-10.1 to -5.2 | |||| | 5 |

-5.2 to -0.3 | |||| | 4 |

-0.3 to -4.6 | |||| |||| |||| || | 17 |

Total = 35 |

**Q21. The blood groups of 30 students of class VIII are recorded as follows:**

** A,B,O,O,AB,O,A,O,B,A,O,B,A,O,O,A,AB,O,A,A,O,O,AB,B,A,O,B,A,B,O**

** Represent this data in the form of a frequency distribution table .Find out which is the most common and which is the most rarest blood group among these students.**

**Solution 21:**

Here 9 students have blood group A,6 as B,3 as AB and 12 as O

So the table representing the data is as follows:

Blood group | Number of students |

A | 9 |

B | 6 |

AB | 3 |

O | 12 |

Total | 30 |

As 12 students have their blood group O and 3 students have their blood group as AB. Therefore the most common blood group is O and the rarest blood group is AB.

**Q22. Three coins were tossed 30 times. Each time the number of heads occurring was noted down as follows:**

**0, 1, 2, 2, 1, 2, 3, 1, 3, 0**

**1, 3, 1, 1, 2, 2, 0, 1, 2, 1**

**3, 0, 1, 1, 2, 3, 2, 2, 0**

**Prepare a frequency distribution table for the data given above.**

**Solution 22:**

By observing the data given above , the following frequency table can be constructed:

Number of heads | Frequency |

0 | 6 |

1 | 10 |

2 | 9 |

3 | 5 |

Total | 30 |

**Q23. Thirty children were asked about the number of hours they watched TV programes in the previous week. The results were found as follows:**

**1, 6, 2, 3, 5, 12, 5, 8, 4, 8**

**10, 3, 4, 12, 2, 8, 15, 1, 17, 6**

**3, 2, 8, 5, 9, 6, 8, 7, 14, 2.**

**(i)Make a frequency distribution table for this data , taking class width 5 and one of the class intervals as 5-10.**

**(ii)How many children watched television for 15 or more hours a week.**

**Solution 23:**

**(i)** Class intervals will be 0-5, 5-10, 10-15 â€¦

The grouped frequency distribution table is as follows:

Hours | Number of children |

0-5 | 10 |

5-10 | 13 |

10-15 | 5 |

15-20 | 2 |

Total | 30 |

**(ii) **The number of children who watched TV for 15 or more hours a week is 2(i.e number of children in class interval 15-20).

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