1.
Dot plots are used for :
Correct Answer
C. Small numerical data sets
Explanation
Dot plots are a type of graph that displays the distribution of a numerical variable. They are particularly useful for small data sets because they provide a clear visual representation of the data points. Each data point is represented by a dot, allowing for easy comparison and identification of patterns or outliers. Therefore, dot plots are most commonly used for small numerical data sets.
2.
When we describe a dot plot, sometimes we :
Correct Answer
A. Have too little data to comment on the shape of the distribution
Explanation
When we describe a dot plot, sometimes we have too little data to comment on the shape of the distribution. This means that there are not enough data points or observations to determine the overall pattern or shape of the data. Without sufficient data, it is difficult to make any meaningful observations or conclusions about the distribution's shape.
3.
By simply looking at a dot plot, it is easy to find the
Correct Answer
A. Modal class
Explanation
By simply looking at a dot plot, it is easy to find the modal class. The modal class refers to the class or interval in a data set that has the highest frequency or the most occurrences. In a dot plot, the class with the highest number of dots or marks will indicate the modal class.
4.
When creating a dot plot, when several points share the same value, we :
Correct Answer
C. Stack the dots on top of one another
Explanation
When creating a dot plot, if several points share the same value, we stack the dots on top of one another. This means that for each repeated value, a dot is placed on top of the previous dot, creating a vertical stack. This allows us to visually represent the frequency or count of each value in the data set.
5.
The dot plot shown above could be described as :
Correct Answer
B. Normally distributed
Explanation
The dot plot shown above could be described as "normally distributed" because the dots are evenly spread out around the center, forming a bell-shaped curve. This indicates that the data is symmetrically distributed around the mean, with an equal number of values on either side.
6.
The dot plot shown above :
Correct Answer
D. Shows no real shape in its distribution
Explanation
The dot plot shown above does not exhibit any clear pattern or shape in its distribution. It does not appear to be skewed, normally distributed, or symmetrically skewed. Therefore, the answer "shows no real shape in its distribution" is the most appropriate explanation for the given dot plot.
7.
The dot plot shown above :
Correct Answer
D. Positively skewed
Explanation
The dot plot shown above is positively skewed because the majority of the data points are clustered towards the lower end of the distribution, with a few outliers on the higher end. This indicates that the data is not evenly distributed and is skewed towards the right side of the plot.
8.
The dot plot shown above has a modal class of :
Correct Answer
C. 11
Explanation
The modal class refers to the class with the highest frequency in a data set. In the given dot plot, the class with the highest frequency is 11. Therefore, 11 is the modal class.
9.
The dot plot shown above :
Correct Answer
D. Shows no real shape in its distribution
Explanation
The dot plot shown above does not exhibit any clear shape in its distribution. This means that there is no noticeable pattern or trend in the data points, making it difficult to determine if the distribution is skewed, symmetric, or has a mode. Therefore, the answer "shows no real shape in its distribution" is the most appropriate.
10.
The dot plot shown above has a range of :
Correct Answer
E. 9
Explanation
The correct answer is 9. This is because the range of a dot plot is the difference between the highest and lowest values. Looking at the given values, the highest value is 19 and the lowest value is 10. Therefore, the range is 19 - 10 = 9.