Question

The bar graph shows ten point quiz scores of students. Which of the following gives the mean of data (a) and data (b)?

• A. 6, 8
• B. 6.13, 7
• C. 6.13, 6
• D. 8, 6

Answer 1

The correct option is C 6.13, 6

The mean of the data set is the sum of the data divided by the number of data values

Mean = $\frac{Sumofalldata}{Numberofdata}$

Total number of students = 10+ 20 + 30 + 40 + 50

Mean of data (a) = $\frac{3\times 10+5\times 20+6\times 30+9\times 40+5\times 50}{150}$

= $\frac{30+100+180+360+250}{150}$

= $\frac{920}{150}$

= 6.13

The mean of the data set is the sum of the data divided by the number of data values

Mean = $\frac{Sumofalldata}{Numberofdata}$

Total number of students = 10+ 20 + 30 + 40 + 50

= 150

Mean of data (b) = $\frac{5\times 10+7\times 20+3\times 30+8\times 40+6\times 50}{150}$

=$\frac{50+140+90+320+300}{150}$

= $\frac{900}{150}$

= 6

Hence, the mean of the data (a) and data (b) are 6.13 and 6, respectively.