Refer to the graphs to answer the questions. The number of...

Refer to the graphs to answer the questions. The number of patients served by a certain hospice care center for the first 12 months after it opened is shown in the graph. (A) For which month was the number of patients greatest? (B). How many patients did the center serve in the first month? (C). Between which months did the number of patients decrease? (D). Between which two months did the number of patients remain the same? (E). Which month corresponds to 40 patients served? (F). Approximately how many patients were served during the 10 th month?

Refer to the graphs to answer the questions.
The number of patients served by a certain hospice care center for the first 12 months after it opened is shown in the graph.
(A) For which month was the number of patients greatest?
(B). How many patients did the center serve in the first month?
(C). Between which months did the number of patients decrease?
(D). Between which two months did the number of patients remain the same?
(E). Which month corresponds to 40 patients served?
(F). Approximately how many patients were served during the 10 th month?

Key Concepts

Identifying Extremes

Identifying extremes means determining the maximum or minimum values in a dataset as represented on a graph. This concept is crucial for finding the highest or lowest data points, which can indicate trends such as peaks or troughs in performance or behavior over time.

Trend Analysis

Trend analysis focuses on recognizing patterns or changes over intervals in a dataset. This includes observing where values increase, decrease, or remain constant over time. Understanding these trends helps in making comparisons between different intervals and identifying significant changes in the observed data.

Graph Interpretation

Graph interpretation involves understanding how information is represented visually. This concept covers identifying what the axes represent, interpreting the scale and units, and extracting relevant numerical information from visual markers such as bars, points, or lines. It is fundamental in converting visual data into quantitative insights that can be used to answer specific questions.

Approximation Techniques

Approximation techniques are methods used to estimate values from a graph when exact numbers are not provided or when the graph's scale makes precise identification difficult. This concept is important for interpreting data points that are not clearly marked, ensuring that conclusions can still be drawn even with approximate figures.

Transcript

00:01 In this problem, we're given a histogram describing patients in hospitals and how long their stays are.

00:09 So part a, it says describe the data in a few sentences.

00:13 Well, we can see that it is skewed to one side.

00:19 That's the first observation.

00:21 We can see that the modal group, meaning the frequency with the highest count, is roughly around 6 to 8.

00:33 And without the scales being too accurate, we can't really tell based on the graph that we see here.

00:39 So there's some descriptive data or descriptive observations for the data that we see.

00:49 In part b, we want to draw a cumulative frequency graph.

00:59 So on the x axis, we want to go up to around...

01:05 I mean, we can estimate that to be around 35, so we just want to separate this enough.

01:12 So let's say 0, 10, 20, and 30, just enough to go to 35 here.

01:24 Okay.

01:25 And then on the y -axis, if we counted all the bars, we can estimate a cumulative frequency of around 5 ,200.

01:34 And that's just me estimating because the figures aren't exactly lined up to the values that are indicated in this graph.

01:44 So i'm going to say that we have a total of 5200, so let's go up by 500.

01:50 So that's 1 ,000, 2 ,000, 3 ,000, 4 ,000, 5 ,000, and 6 ,000...

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