A survey of high school students found that the mean number of text messages sent per day was 62, with a standard deviation of 12. If a normal distribution is assumed, which interval represents the number of texts sent by 68% of the students?(1 point) Responses 50–74 50–74 38–86 38–86 56–68 56–68 44–80

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.