tudents 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.

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tinnem103107 tinnem103107 · Answer 1 · 2021-05-12T20:34:02+02:00

Answer:

A, D, E

Step-by-step explanation:

GOT IT RIGHT ON EDGE

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MrRoyal MrRoyal · Answer 2 · 2022-05-16T13:39:39+02:00

The true statement about the histogram are

The dataset is given as:

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

Using a statistical calculator, we have the following summary:

Mean = 7.43

Median = 7.5

Notice that the median and the mean are approximately equal

i.e. 7.43 ≈ 7.5

When the mean and the median are equal, the histogram would have an approximately normal curve

Also, when the dataset is sorted, we have:

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

Notice that there are more data elements between 6 and 9.

Hence, the true statement about the histogram are (a), (d) and (e)