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Largest Deserts in the World along with their areas are listed below:

Desert Area (km^2)

Sahara (Africa) 8,800,000
Gobi (Asia) 1,300,000
Australian Desert (Australia) 1,250,000
Arabian Desert (Asia) 850,000
Kalahari Desert (Africa) 580,000
Chihuahuan Desert (North America) 370,000
Taklamakan Desert (Asia) 320,000
Kara Kum (Asia) 310,000
Namib Desert (Africa) 310,000
Thar Desert (Asia) 260,000
The above table lists the world's 10 largest deserts.

(a) What is the mean, median, and mode of the areas listed?

(b) How many times the size of the Gobi Desert is the Namib Desert?

(c) What percentage of the deserts listed are in Asia?

(d) What percentage of the total area of the deserts listed is in Asia?







Aniket Singh , 10 Months ago
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anser 1 Answers
Askiitians Tutor Team

Last Activity: 10 Months ago

Given the data of the world's largest deserts and their respective areas in square kilometers, let's solve the questions step by step.

Desert Areas (in square kilometers):
Sahara: 8,800,000
Gobi: 1,300,000
Australian Desert: 1,250,000
Arabian Desert: 850,000
Kalahari Desert: 580,000
Chihuahuan Desert: 370,000
Taklamakan Desert: 320,000
Kara Kum: 310,000
Namib Desert: 310,000
Thar Desert: 260,000

(a) Mean, Median, and Mode of the Areas:

Mean:
The mean is the average of all the areas.
Mean = (Sum of all areas) / (Number of deserts)
Sum of all areas = 8,800,000 + 1,300,000 + 1,250,000 + 850,000 + 580,000 + 370,000 + 320,000 + 310,000 + 310,000 + 260,000
Sum = 14,350,000

Number of deserts = 10

Mean = 14,350,000 / 10 = 1,435,000

Median:
To find the median, arrange the areas in ascending order:
260,000, 310,000, 310,000, 320,000, 370,000, 580,000, 850,000, 1,250,000, 1,300,000, 8,800,000
Median = Average of the 5th and 6th values (middle two values since the count is even).
Median = (370,000 + 580,000) / 2 = 475,000

Mode:
The mode is the value that appears most frequently.
Here, 310,000 appears twice, so the mode is 310,000.
Answer for (a):
Mean = 1,435,000
Median = 475,000
Mode = 310,000

(b) How many times the size of the Gobi Desert is the Namib Desert?

Gobi Desert area = 1,300,000
Namib Desert area = 310,000

Number of times = Gobi Desert area / Namib Desert area
Number of times = 1,300,000 / 310,000 ≈ 4.19

Answer for (b):
The Gobi Desert is approximately 4.19 times the size of the Namib Desert.

(c) What percentage of the deserts listed are in Asia?

Deserts in Asia: Gobi, Arabian, Taklamakan, Kara Kum, Thar
Number of deserts in Asia = 5
Total number of deserts listed = 10

Percentage = (Number of deserts in Asia / Total number of deserts) × 100
Percentage = (5 / 10) × 100 = 50%

Answer for (c):
50% of the deserts listed are in Asia.

(d) What percentage of the total area of the deserts listed is in Asia?

Areas of deserts in Asia: Gobi (1,300,000), Arabian (850,000), Taklamakan (320,000), Kara Kum (310,000), Thar (260,000)
Total area of Asian deserts = 1,300,000 + 850,000 + 320,000 + 310,000 + 260,000 = 3,040,000

Total area of all deserts = 14,350,000

Percentage = (Total area of Asian deserts / Total area of all deserts) × 100
Percentage = (3,040,000 / 14,350,000) × 100 ≈ 21.18%

Answer for (d):
21.18% of the total area of the deserts listed is in Asia.

Final Answers:
(a) Mean = 1,435,000; Median = 475,000; Mode = 310,000
(b) The Gobi Desert is approximately 4.19 times the size of the Namib Desert.
(c) 50% of the deserts listed are in Asia.
(d) 21.18% of the total area of the deserts listed is in Asia.

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