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Feeling sleepy? Students in a college statistics class responded to a survey designed by their teacher. One of the survey questions was 鈥淗ow much sleep did you get last night?鈥 Here are the data (in hours):

(a) Make a dot plot to display the data.

(b) Describe the overall pattern of the distribution

and any deviations from that pattern.

Short Answer

Expert verified

Part (b)

  • The data is nearly symmetrical in shape.
  • Because the highest dots in the dot-plot are at 6, the time spent in the center is approximately 6 hours.
  • The time span is between 3 and 11 hours.
  • There do not appear to be any anomalies in the pattern.

Part (a) The dot plot is

Step by step solution

01

Part (a) Step 1: Given information

The table is

96868866.5679434
5611636610784.5977
02

Part (a) Step 2: Concept

To visualize the distribution of a quantitative variable, you can use a dot plot, stem plot, or histogram. A dot plot is a type of graph that shows individual values on a number line. Each observation is divided into a stem and a one-digit leaf in stem plots. The counts (frequencies) or percent's (relative frequencies) of values in equal-width classes are plotted in histograms.

03

Part (a) Step 3: Explanation

We have information on the students' sleeping hours. A dot plot is a simple graph in which each data value is represented by a dot above its location on a number line. The following is the dot plot of the given data:

Thus, a dot plot is drawn.

04

Part (b) Step 1: Explanation

The shape, center, spread, and outliers of distribution can all be used to define its general pattern.

Shape: The Dot plot has a peak at 6, indicating that the majority of students slept for at least 6 hours the night before the survey. As a result, the model is 6 The majority of the pupils slept for6 to 9 hours. The distribution, on the other hand, has a long slope to the right.

Center: The center can be described by selecting a value that splits the data in half. As a result, roughly half of the people choose greater values while the other half choose smaller values. This is known as the Median of the Distribution, which in this case is 6 For this data, we can also determine the mean number of hours, which is 6.64

Spread: The time span of the data ranges from 3 to 11 hours. By subtracting the lowest value from the greatest value, the range may be computed. 11hours-3hours=8hours

Outliers: The values that deviate from the main trend in some way. They do, however, stand out from the rest of the collection. In the given distribution, there is no outlier.

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