# Students in a fitness class each completed a one-mile Which statements are true about a histogram with one- walk or ru

Question

Students in a fitness class each completed a one-mile
Which statements are true about a histogram with one-
walk or run. The list shows the time it took each person
minute increments representing the data? Select three
to complete the mile. Each time is rounded to the
options.
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
L 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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4 weeks 2023-01-07T16:10:01+00:00 1 Answer 0 views 0

## Answer ( 1 )

1. The shape of the histogram can be approximated with a normal curve.
Here we have to use the concept of mean and identify the nature of the histogram.
The histogram is a graphical representation that shows the data points into bins and makes it easy to interpret visually.
We can compare the mean and median values of the given data also.
Data given in the question is 5.5, 6, 7, 10, 7.5, 8, 9.5, 9, 8.5, 8, 7, 7.5, 6, 6.5, 5.5.
Mean of the given data = Sum of Observation / Total Number of observations
Mean = 5.5+ 6+ 7+ 10+ 7.5+ 8+ 9.5+ 9+ 8.5+ 8+ 7+ 7.5+ 6+ 6.5 +5.5/15
=111.5/15
=7.43
Now we have 8 observations that are bigger than our observed mean and 7 are smaller than that.
So it is a kind of balanced diagram and we cannot say that it is left skewed or right.
So the true statement is the shape of the histogram can be approximated with a normal curve.
You can find more about Histogram: https://brainly.com/question/27425467
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