Question

a 10 - item statistics quiz was given to 30 students. the table below gives the scores received along with the corresponding frequencies. what was the mean score on the quiz? score 5 6 7 8 9 10 frequency 1 2 5 5 7 10 7.5 8.5 9 10

Explanation:

Step1: Calculate sum of score - frequency products

\[ (5\times1)+(6\times2)+(7\times5)+(8\times5)+(9\times7)+(10\times10)=5 + 12+35 + 40+63+100 = 255\]

Step2: Calculate total frequency

The total number of students is \(1 + 2+5 + 5+7+10=30\)

Step3: Calculate the mean

The mean \(\bar{x}=\frac{\text{Sum of score - frequency products}}{\text{Total frequency}}=\frac{255}{30}=8.5\)

Answer:

8.5