Question

The histogram shows the number of hours of sleep akecheta got for \[50\] days. a histogram. the x-axis is labeled amount of sleep (hours) and numbered from 6 to 10. the y-axis is labeled frequency and numbered from 0 to 12. there are 8 buckets of equal width. the mids and counts for the buckets are mid: 6.25, count: 2. mid: 6.75, count: 9. mid: 7.25, count: 12. mid: 7.75, count: 12. mid: 8.25, count: 11. mid: 8.75, count: 2. mid: 9.25, count: 2. mid: 9.75, count: 0. \[0\] \[2\] \[4\] \[6\] \[8\] \[10\] \[12\] \[\small6\] \[\small6.5\] \[\small7\] \[\small7.5\] \[\small8\] \[\small8.5\] \[\small9\] \[\small9.5\] \[\small10\] describe the distribution of the amount of sleep.

Answer 1

The histogram of Akecheta's sleep data is skewed to the left, with most data centered around 7.5 to 8.25 hours of sleep. It is not symmetrical and has a varied spread from 6 to 9 hours.

Step-by-step explanation:

The distribution of the amount of sleep Akecheta got over 50 days, as shown by the histogram, consists of various sleep hours intervals and corresponding frequencies. The histogram is not symmetrical since the frequencies are not uniformly distributed on either side of the central value, which can be described as skewed. In this case, the mode of the distribution, indicating the most frequent amount of hours slept, is around 7.25 to 7.75 hours, but because the histogram has one tail longer than the other, we can conclude that the distribution is likely skewed.

When we describe this histogram, we refer to the shape, center, and spread of the data. The shape is typically classified as normal, approximately normal, or skewed. In this situation, given the counts and the uneven tail, we say the distribution is skewed to the left since it has a longer tail on the left side. We also look at the center of the distribution, which in this histogram is around 7.5 to 8.25 hours, where the bulk of data points falls. Finally, the range shows us the spread of the histogram, stretching from 6 to 9 hours, indicating that there's a variety of sleep hours recorded.