50-74
To find the interval representing the number of texts sent by 68% of the students, you can use the empirical rule for normally distributed data.
According to the empirical rule:
- About 68% of the data falls within 1 standard deviation of the mean
- About 95% of the data falls within 2 standard deviations of the mean
- About 99.7% of the data falls within 3 standard deviations of the mean
Since we are looking for the interval representing 68% of the students, we will focus on the 1 standard deviation range from the mean.
Given a mean of 62 texts per day and a standard deviation of 12, the interval representing 68% of the students would be from:
Mean - 1 standard deviation = 62 - 12 = 50
Mean + 1 standard deviation = 62 + 12 = 74
Therefore, the interval representing the number of texts sent by 68% of the students is 50-74.