students in a fitness class each completed a one - mile walk or run. the list shows the time it took each…

students in a fitness class each completed a one - mile walk or run. the list shows the time it took each person to complete the mile. each time is rounded to the nearest half - minute. 5.5, 6, 7, 10, 7.5, 8, 9.5, 9, 8.5, 8, 7, 7.5, 6, 6.5, 5.5 which statements are true about a histogram with one - minute increments representing the data? select three options. a histogram will show that the mean time is approximately equal to the median time of 7.5 minutes. the histogram will have a shape that is left - skewed. the histogram will show that the mean time is greater than the median time of 7.4 minutes. the shape of the histogram can be approximated with a normal curve. the histogram will show that most of the data is centered between 6 minutes and 9 minutes.

students in a fitness class each completed a one - mile walk or run. the list shows the time it took each person to complete the mile. each time is rounded to the nearest half - minute. 5.5, 6, 7, 10, 7.5, 8, 9.5, 9, 8.5, 8, 7, 7.5, 6, 6.5, 5.5 which statements are true about a histogram with one - minute increments representing the data? select three options. a histogram will show that the mean time is approximately equal to the median time of 7.5 minutes. the histogram will have a shape that is left - skewed. the histogram will show that the mean time is greater than the median time of 7.4 minutes. the shape of the histogram can be approximated with a normal curve. the histogram will show that most of the data is centered between 6 minutes and 9 minutes.

Answer

Explanation:

Step1: Arrange data in ascending order

$5.5,5.5,6,6,6.5,7,7.5,7.5,8,8,8.5,9,9.5,10$

Step2: Calculate the median

There are 14 data - points. The median is the average of the 7th and 8th ordered values. $\frac{7.5 + 7.5}{2}=7.5$.

Step3: Calculate the mean

$\text{Mean}=\frac{5.5\times2 + 6\times2+6.5 + 7+7.5\times2+8\times2+8.5+9+9.5+10}{14}=\frac{105}{14} = 7.5$.

Step4: Analyze the shape of the data

The data has no extreme left - tail values pulling the mean down, so it is not left - skewed. Since mean = median = 7.5, the data is symmetric and can be approximated with a normal curve. Also, by observing the data, most of the values ($5.5,6,6,6.5,7,7.5,7.5,8,8,8.5,9,9.5$) are between 6 and 9 minutes.

Answer:

A. A histogram will show that the mean time is approximately equal to the median time of 7.5 minutes. D. The shape of the histogram can be approximated with a normal curve. E. The histogram will show that most of the data is centered between 6 minutes and 9 minutes.