# Selina Concise Solutions for Chapter 22 Data Handling Class 8 ICSE Mathematics

**Exercise 22A**

**1. Arrange the following data as an array (in ascending order):**

**(i) 7, 5, 15, 12, 10, 11, 16**

**(ii) 6.3, 5.9, 9.8, 12.3, 5.6, 4.7**

**Solution**

(i) Ascending order = 5, 7, 10, 11, 12, 15, 16

(ii) Ascending order = 4.7, 5.6, 5.9, 6.3, 9.8, 12.3

**2. Arrange the following data as an array (descending order):**

**(i) 0 2, 0, 3, 4, 1, 2, 3, 5**

**(ii) 9.1, 3.7, 5.6, 8.3, 11.5, 10.6**

**Solution**

(i) Descending order = 5, 4, 3, 3, 2, 2, 1, 0

(ii) Descending order = 11.5, 10.6, 9.1, 8.3, 5.6, 3.7

**3. Construct a frequency table for the following data:**

**(i) 6, 7, 5, 6, 8, 9, 5, 5, 6, 7, 8, 9, 8, 10, 10, 9, 8, 10, 5, 7, 6, 8.**

**(ii) 3, 2, 1, 5, 4, 3, 2, 5, 5, 4, 2, 2, 2, 1, 4, 1, 5, 4.**

**Solution**

**(i)**

**(ii)**

**4. Following are the marks obtained by 30 students in examinations.**

**15, 20, 8, 9, 10,**

**16, 17, 20, 24, 30,**

**44, 47, 38, 36, 40,**

**27, 25, 28, 30, 19,**

**7, 11, 21, 31, 41,**

**37, 47, 23, 20, 17**

**Taking class intervals 0-10, 10-20, ……… 40-50 ; construct a frequency table.**

**Solution**

**5. Construct a frequency distribution table for the following data; taking class-intervals 4-6, 6-8, …… 14-16.**

**11.5, 6.3, 7.8, 9.2, 10.5, 4.5, 6, 8.3, 12.5, 15.8,**

**7.4, 5.3, 8.4, 15.2, 8.9, 9.8, 8.25, 6.5, 5.8, 10.5,**

**4.6, 6.4, 8.9, 10.8, 12.7, 14.2, 15.3, 11.7, 9.9, 8.8,**

**6.6, 4.3, 4.7, 9.4, 10.1, 15.5, 14.4, 12.2, 7.7, 5.5**

**Solution**

**6. Fill in the blanks:**

**(i) Lower class limit of 15-18 is ………**

**(ii) Upper class limit of 24-30 is ……..**

**(iii) Upper limit of 5-12.5 is ………**

**(iv) If the upper and the lower limits of a class interval are 16 and 10; the class-interval is ……..**

**(v) If the lower and the upper limits of a class interval are 7.5 and 12.5; the class interval is ……..**

**Solution**

(i) Lower class limit of 15 – 18 is

**15**.

(ii) Upper class limit of 24 – 30 is

**30.**

(iii) Upper limit of 5 – 12.5 is

**12.5**

(iv) If the upper and lower limits of a class interval are 16 and 10; the class interval is

**10 – 16**

(v) If the lower and upper limits of a class interval are 7.5 and 12.5; the class interval is

**7.5 – 12.5**

**Exercise 22B**

**1. Hundred students from a certain locality use different modes of travelling to school as given below. Draw a bar graph.**

**Solution**

**2. Mr. Mirza’s monthly income is Rs. 7,200. He spends Rs. 1,800 on rent, Rs. 2,700 on food, Rs. 900 on education of his children ; Rs. 1,200 on Other things and saves the rest.**

**Draw a pie-chart to represent it.**

**Solution**

**3. The percentage of marks obtained, in different subjects by Ashok Sharma (in an examination) are given below. Draw a bar graph to represent it.**

**Solution**

**4. The following table shows the market position of different brand of tea-leaves.**

**Draw it-pie-chart to represent the above information.**

**Solution**

**5. Students of a small school use different modes of travel to school as shown below:**

**Draw a suitable bar graph.**

**Solution**

**6. For the following table, draw a bar-graph**

**Solution**

**7. Manoj appeared for ICSE examination 2018 and secured percentage of marks as shown in the following table:**

**Represent the above data by drawing a suitable bar graph.**

**Solution**

**8: For the data given above in question number 7, draw a suitable pie-graph.**

**Solution**

∵ 60 + 45 + 42 + 48 + 75 = 270

∴ Central angle for Hindi = 60/270 × 360˚ = 80˚

Central angle for English = 45/270 × 360˚ = 60˚

Central angle for Maths = 42/270 × 360˚ = 45˚

Central angle for Hindi = 48/270 × 360˚ = 64˚

And Central angle Social study = 72/270 × 360˚ = 100˚

**9. Mr. Kapoor compares the prices (in Rs.) of different items at two different shops A and B. Examine the following table carefully and represent the data by a double bar graph.**

**Solution**

**10: The following tables shows the mode of transport used by boys and girls for going to the same school.**

**Draw a double bar graph representing the above data.**

**Solution**