the table displays the scores of students on a recent exam. find the mean of the scores to the nearest…

the table displays the scores of students on a recent exam. find the mean of the scores to the nearest 10th.\n| score | number of students |\n| ---- | ---- |\n| 100 | 5 |\n| 95 | 2 |\n| 90 | 5 |\n| 85 | 5 |\n| 80 | 8 |\n| 75 | 9 |

the table displays the scores of students on a recent exam. find the mean of the scores to the nearest 10th.\n| score | number of students |\n| ---- | ---- |\n| 100 | 5 |\n| 95 | 2 |\n| 90 | 5 |\n| 85 | 5 |\n| 80 | 8 |\n| 75 | 9 |

Answer

Explanation:

Step1: Calculate the sum of the products of scores and frequencies

Multiply each score by its frequency and sum them up. [ (100\times5)+(95\times2)+(90\times5)+(85\times5)+(80\times8)+(75\times9)=500 + 190+450+425+640+675 = 2880]

Step2: Calculate the total number of students

Sum up all the frequencies. [5 + 2+5+5+8+9=34]

Step3: Calculate the mean

Divide the sum of products by the total number of students. [\text{Mean}=\frac{2880}{34}\approx84.7]

Answer:

84.7