5. Bar graphs Aa Aa Here\'s an interesting exercise: Write down all the numbers

Question

5. Bar graphs Aa Aa Here's an interesting exercise: Write down all the numbers you see on the front page of your campus newspaper (excluding the page number). Calculate the proportion of numbers beginning with one and the proportion of numbers beginning with four. Which proportion is greater? Your intuition may suggest that it is equally likely to find both kinds of numbers, so the proportions should be roughly the same. But more often than not, the proportion of numbers beginning with one is about three times that of numbers beginning with four This is a consequence of a phenomenon known as Benford's Law, which was observed independently by mathematician Simon Newcomb in 1881 and General Electric physicist Frank Benford in 1938. A set of numbers obeying Benford's Law would have the relative frequencies shown in Table 1 Table 1 First Digit Relative Frequency 0.301 0.176 0.125 0.097 0.079 0.067 0.058 0.051 0.046 1.000 4 6 8 Total

Explanation / Answer

Solution:

the first digit with the highest frequecny is 7

It occurs 25 times

.Relativen frequency=25/92=

the first digit with the highest frequenncy is 7.its relative frequency is 0.271739

and the expected frequency is about

total no of obseervations*relative freq

=92*0.271739

=25

ANSWER :25

0.271739

Related Questions

Navigate

• Browse (All)
• Browse 5
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.