Multiple choice

Six faces of a balanced die are numbered from integers $1$ to $6$. This die is tossed $60$ times and the frequency distribution of the integers obtained is given. Then the mean of the grouped data is Integer $1$ $2$ $3$ $4$ $5$ $6$ Frequency $8$ $9$ $10$ $16$ $9$ $8$

  1. $3.25$
  2. $3.55$
  3. $3.45$
  4. $3.35$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Mean = sum(x*f) / sum(f). Sum(x*f) = (1*8) + (2*9) + (3*10) + (4*16) + (5*9) + (6*8) = 8 + 18 + 30 + 64 + 45 + 48 = 213. Total frequency = 8+9+10+16+9+8 = 60. Mean = 213 / 60 = 3.55.

AI explanation

To find the mean of the grouped data, first calculate the total sum of the frequencies multiplied by their respective integers, which is (1*8) + (2*9) + (3*10) + (4*16) + (5*9) + (6*8) = 213. Next, add the frequencies to find the total number of tosses, which is 8 + 9 + 10 + 16 + 9 + 8 = 60. Dividing the total sum of 213 by the 60 tosses results in a mean of 3.55. The mean of the grouped data is 3.55.

Keep practicing — related questions