Question

use the table to answer the question.
there are 212 students at a local college taking an introduction to statistics course. the following are the final exam scores of 30 randomly selected students. what would you estimate to be the mean score for all the students in the course? round your answer to the nearest whole number.
a table has 5 rows and 6 columns of integers ranging from 52 to 100.
(1 point)
the estimated mean score is 77.
the estimated mean score is 74.
the estimated mean score is 78.
the estimated mean score is 76.

Explanation:

Step1: Sum all scores

$$63 + 65+89 + 94+97+74+77+91+96+54+85+88+73+68+78+95+82+62+62+75+52+100+81+76+86+64+58+57+72+80$$
$$=2310$$

Step2: Calculate the mean

The number of students \(n = 30\). The mean formula is \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\). So \(\bar{x}=\frac{2310}{30}=77\)

Answer:

The estimated mean score is 77.