Calories consumed by members of a track team the day before a race are normally distributed, with a mean of 1,800 calories and a standard deviation of 100 calories. If a normal curve is sketched using these data, what is the range for 3 standard deviations to the right and to the left of the mean?

0-3,600

1,700-1,900

1,600-2,000

1,500-2,100

Question

Mathematics

Matilda

18 February, 14:04

Calories consumed by members of a track team the day before a race are normally distributed, with a mean of 1,800 calories and a standard deviation of 100 calories. If a normal curve is sketched using these data, what is the range for 3 standard deviations to the right and to the left of the mean?

0-3,600

1,700-1,900

1,600-2,000

1,500-2,100

+4

Answers (1)

Know the Answer?

Mahoney · Answer 1

1500 - 2100

Step-by-step explanation:

Three standard deviations below the mean:

1800 - 3 (100) = 1500

Three standard deviations above the mean:

1800 + 3 (100) = 2100