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time to get to school based on the histogram, which of these statements…

Question

time to get to school
based on the histogram, which of these statements are true? the data is skewed left. there are some outlier times, which will affect the mean. the mean time is probably greater than the median time. most students took less than an hour to get to school.

Explanation:

Step1: Analyze skewness

The tail of the data extends to the right (higher - time values have fewer students), so the data is skewed right, not left.

Step2: Check for outliers

The right - hand side values (50 - 59 and 60 - 69) are relatively far from the main cluster of data (0 - 39), so there are outliers which will pull the mean towards the larger values.

Step3: Compare mean and median

In right - skewed data, the mean is pulled towards the tail (higher values), so the mean is probably greater than the median.

Step4: Check time less than an hour

The sum of the frequencies of the intervals 0 - 9, 10 - 19, 20 - 29, 30 - 39, 40 - 49 is \(15 + 20+25 + 20+10=90\), and the sum of all frequencies is \(15 + 20+25 + 20+10 + 5=95\). Most students (90 out of 95) took less than an hour (60 minutes) to get to school.

Answer:

The statements "There are some outlier times, which will affect the mean.", "The mean time is probably greater than the median time." and "Most students took less than an hour to get to school." are true.