In: Math
Miles Freq 0-4 3 5-9 14 10-14 13 15-19 4 Select the most appropriate sentence corresponding to two standard deviations. *About 68% of students drive between 5.5212 miles and 13.7730 miles to somewhere *At least 88.9% of students drive between -2.7306 miles and 22.0248 miles to *About 99.7% of students drive between 1.3953 miles and 17.8989 miles to *About 68% of students drive less than 22.0248 miles to *About 95% of students drive between 5.5212 miles and 13.7730 miles to *About 99.7% of students drive between -2.7306 miles and 22.0248 miles to *About 68% of students drive between 1.3953 miles and 17.8989 miles to *About 99.7% of students drive between 5.5212 miles and 13.7730 miles to *At least 75% of students drive between -2.7306 miles and 22.0248 miles to *At least 75% of students drive less than 22.0248 miles to *About 95% of students drive between 1.3953 miles and 17.8989 miles to *At least 75% of students drive between 1.3953 miles and 17.8989 miles to *About 95% of students drive less than 22.0248 miles to *At least 88.9% of students drive between 1.3953 miles and 17.8989 miles to *About 99.7% of students drive less than 22.0248 miles to *About 95% of students drive between -2.7306 miles and 22.0248 miles to *At least 88.9% of students drive less than 22.0248 miles to *About 68% of students drive between -2.7306 miles and 22.0248 miles to
Step 1:
To find mean () and SD() for the given data:
x f fx x - (x - )2 f (x - )2
2 3 6 - 7.647 58.478 175.433
7 14 98 - 2.647 7.007 98.097
12 13 156 2.353 5.536 71.972
17 4 68 7.353 54.066 216.263
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Total 34 328 - - 561.965
Mean = =
Variance = =
SD = =
So,
the most appropriate sentence is:
About 95 of students drive between 1.3953 miles and 17.8989 miles to