100 surnames were randomly picked up from a local telephone directory and the frequency distribution of the number of letters in the English alphabets in the surnames was obtained as follows: Nuniber of letters 1-4 4-7 7-10 10-13 13-16 16-19 Number of surnames 6 30 40 16 4 4 Determine the median number of letters in the surnames. Find the mean number of letters in the surnames? Also, find the modal size of the surnames.
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Narendra Damodardas Modi is an Indian politician serving as the 14th and current prime minister of India since 2014. Modi was the chief minister of Gujarat from 2001 to 2014 and is the Member of Parliament from Varanasi. He is a member of the Bhartiya Janata Party and its National Democratic Alliance.
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Answer:
Perimeter of square formula = 4 × side of the square
Hence, P (square) = 4 × 60 = 240 cm
Perimeter of rectangle formula = 2 × (Length + Breadth)
Hence, P (rectangle) = 2 (80 + Breadth)
= 160 + 2 × Breadth
According to the given question,
160 + 2 × Breadth = 240 cm
2 × Breadth = 240 – 160
Breadth = 80/2
The breadth of the rectangle = 40 cm
Now, the area of rectangle = Length × Breadth = 80 × 40 = 3200 cm2
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