Mudhol Hounds (a type of breed of Indian dogs) are largely found in North Karnataka's Bagalkote and Vijaypura districts. The government took an initiative to protect this breed by providing support to those who adopted these dogs. Due to this initiative, the number of these dogs increased. The number of Mudhol dogs in six villages of Karnataka are as follows— Village A: 18, Village B: 36, Village C: 12, Village D: 48, Village E: 18, Village F: 24. Prepare a pictograph and answer the following questions:
What will be a useful scale or key to draw this pictograph?
A useful scale would be 1 symbol = 6 dogs. This works well because all numbers (18, 36, 12, 48, 18, 24) are divisible by 6, making it easy to represent each village with whole or half symbols: Village A = 3 symbols, Village B = 6 symbols, Village C = 2 symbols, Village D = 8 symbols, Village E = 3 symbols, Village F = 4 symbols.
How many symbols will you use to represent the dogs in Village B?
If using a scale of 1 symbol = 6 dogs, Village B with 36 dogs will need 36 ÷ 6 = 6 symbols. If using a scale of 1 symbol = 12 dogs, Village B will need 36 ÷ 12 = 3 symbols.
Kamini said that the number of dogs in Village B and Village D together will be more than the number of dogs in the other 4 villages. Is she right? Give reasons for your response.
Yes, Kamini is correct. Village B has 36 dogs and Village D has 48 dogs. Together they have 36 + 48 = 84 dogs. The other 4 villages have: Village A (18) + Village C (12) + Village E (18) + Village F (24) = 72 dogs. Since 84 > 72, the number of dogs in Village B and Village D together is more than the other 4 villages combined.
Explanation
(a) Choosing a scale that divides evenly into all data values makes the pictograph easier to draw and interpret. The numbers 18, 36, 12, 48, 18, 24 are all divisible by 6. (b) The number of symbols depends on the chosen scale. With 1 symbol = 6 dogs, 36 dogs require 6 symbols. (c) This requires adding the values: B + D = 36 + 48 = 84, and A + C + E + F = 18 + 12 + 18 + 24 = 72. Comparing 84 and 72 shows that 84 > 72.