Question

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? Check all that apply. 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. ITS A, D, E, I JUST TOOK THE QUIZ!!! 

Answer 1

the correct options are

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.

JUST TOOK THE TEST!

Answer 2

The histogram is especially useful in comparing mean and median values of a variable. We have that 5.5+6+7+10+7.5+8+9.5+9+8.5+8+7+7.5+6+6.5+5.5=111.5 Since there are 15 values, their mean is 111.5/15=7.43 which is very close to the mean. We also have that 7 onservations are lower than 7.4 while 8 are bigger than 7.4; hence, the diagram is rather balanced and not left-skewed. We cannot tell immediately which one is larger since the values are too close. Any such random process can usually be approximated to a greater or smaller degree by a normal curve; the more points, the better. The histogram shows this (it is kind of a discrete normal curve); all points except 4 will be in this interval of bars.