Unit 12: Information Handling — Review Exercise

R12.1.Four options are given against each statement; encircle the correct option. Selected numerical parts: (vii) If the mean of 5, 7, 8, 9 and x is 7.5, what will be the value of x? (a) 10 (b) 8 (c) 8.5 (d) 5.8. (viii) Find the mode of the given data: 2, 5, 8, 9, 0, 1, 3, 7 and 10. (a) 5 (b) 7 (c) 0 (d) no mode. (x) Find the median of the given data: 110, 125, 122, 130, 124, 127 and 120. (a) 124 (b) 120 (c) 125 (d) 127.

R12.3.Following are the weights of 40 students recorded to the nearest (lbs): 138, 164, 150, 132, 144, 125, 149, 157, 146, 158, 140, 147, 136, 148, 152, 144, 168, 126, 138, 176, 163, 119, 154, 165, 146, 173, 142, 147, 135, 153, 140, 135, 161, 145, 135, 142, 150, 156, 145, 128. Make a frequency table taking size of class limits as 10. Also draw histogram and frequency polygon of the given data.

R12.4.From the table given below, draw a frequency polygon on histogram for the given frequency distribution. Weight (kg): 50–56, 57–59, 60–64, 65–72, 73–75, 76–80 with Frequency (f): 25, 32, 40, 30, 15, 8.

R12.5.Given below are marks obtained by 45 students in the monthly test of Biology: Marks 20–24, 25–29, 30–34, 35–39, 40–44, 45–49 with No. of students 05, 08, 12, 15, 03, 02. With reference to the above table find the following: (i) upper class boundary of the 5th class. (ii) lower class boundaries of all the classes. (iii) midpoint of all the classes. (iv) the class interval with the least frequency.

R12.6.Given below is frequency distribution. Draw frequency polygon and histogram for the distribution. Class limits: 5–9, 10–14, 15–19, 20–24, 25–29, 30–34 with Frequency: 1, 8, 18, 11, 2, 5.

R12.7.For the following data, find the weighted mean. Item: Chair (Quantity 20, Cost 500), Table (Quantity 20, Cost 400), Black board (Quantity 10, Cost 750), Tube light (Quantity 25, Cost 230), Cupboard (Quantity 09, Cost 950).

R12.8.A principal of a school allocates funds of Rs. 50,000 to five different sectors: (i) chairs: Rs. 15000 (ii) tables: Rs. 12,000 (iii) black boards: Rs. 6,000 (iv) room renovation: Rs. 10,000 (v) gardening: Rs. 7,000. Find the average of funds allocation in each sector of the school.

R12.9.The marks of a student Saad in six tests were 84, 91, 72, 68, 87, 78. Find the arithmetic mean of his marks.

R12.10.Adjoining distribution showed maximum load (in kg) supported by certain ropes. Find the mean load using short method. Max-Load kg: 93–97, 98–102, 103–107, 108–112, 113–117, 118–122 with No. of ropes: 2, 5, 8, 12, 6, 2.

R12.11.Usman rolled a fair dice eight times. Each time their sum was recorded as 8, 5, 6, 6, 9, 4, 3, 11. Find the median and mode of the sum.

R12.12.Two partners Mr. Aslam and Mrs. Kalsoom run a company. In the following data the weekly wages (in Rs.) of employees who work in the company are given: Wages (Rs.): 600–700, 700–800, 800–900, 900–1000, 1000–1100 with Employees: 3, 5, 7, 21, 11. Find mean, median and mode.