Which of the following statements is TRUE about box plots؟
إجابة الطالب المختصرة من خلال موقع بوابة الإجابات هي
TRUE
Here's a breakdown of the key features of box plots and which statements about them are likely to be true:
**Key Features of Box Plots (also known as box-and-whisker plots):**
* **Visual Representation of Data Distribution:** Box plots provide a quick and easy way to visualize the spread and central tendency of a dataset.
* **Five-Number Summary:** They are based on the five-number summary:
* Minimum Value (the smallest data point that is not an outlier)
* First Quartile (Q1 or 25th percentile): The value below which 25% of the data falls.
* Median (Q2 or 50th percentile): The middle value of the data.
* Third Quartile (Q3 or 75th percentile): The value below which 75% of the data falls.
* Maximum Value (the largest data point that is not an outlier)
* **Box:** The box itself represents the interquartile range (IQR), which is the range between Q1 and Q3. The length of the box indicates the spread of the middle 50% of the data.
* **Whiskers:** Lines (whiskers) extend from the box to the minimum and maximum values (or to a certain range defined by a rule, often 1.5 times the IQR beyond the quartiles).
* **Outliers:** Data points that fall outside the whiskers are often considered outliers and are plotted as individual points.
**Common True Statements about Box Plots:**
* **A box plot displays the median of the data.** (The median is always shown within the box)
* **A box plot displays the quartiles of the data.** (Q1 and Q3 define the edges of the box)
* **A box plot can be used to identify potential outliers.** (Outliers are shown as individual points)
* **The length of the box represents the interquartile range (IQR).**
* **Box plots are useful for comparing the distributions of two or more datasets.**
* **Box plots are less sensitive to extreme values than measures like the mean.**
* **A box plot shows the spread of the middle 50% of the data.**
* **A box plot provides a visual representation of the five-number summary.**
**Common False Statements about Box Plots:**
* **A box plot displays the mean of the data.** (It shows the *median*, not the mean).
* **A box plot shows the standard deviation of the data.** (It visually represents spread, but not the standard deviation directly)
* **A box plot shows every data point in the dataset.** (It summarizes the data; individual points are only shown if they are outliers)
* **The whiskers always extend to the absolute minimum and maximum values.** (Whiskers can be defined by a rule based on the IQR, meaning they might not reach the true min/max if outliers are present).
**Therefore, to answer your question definitively, you would need to provide the specific statements you are referring to. However, based on the information above, you can evaluate which statement is most likely to be true.**
اذا كان لديك إجابة افضل او هناك خطأ في الإجابة علي سؤال Which of the following statements is TRUE about box plots اترك تعليق فورآ.
