Question 1

When making a stemplot,it is appropriate to _______ if the values have many digits.

Accepted Answer

The answer of When making a stemplot,it is appropriate to...

Question 2

The histogram below shows data from 30 students who were asked,"How much time do you spend on the Internet in minutes?" What are some features about the data?

Accepted Answer

There is a potential outlier shown in the histogram, as there is one bar that extends much higher than the others, indicating that there may be one or a few students who spend significantly more time on the Internet than the rest of the group. The other statements, that most values are around 800 and that the range is between 0 and 400, are not supported by the histogram.

Question 3

The histogram below shows data from 30 students who were asked,"How much time do you spend on the Internet in minutes?" How could you improve the histogram to better display the distribution?

Accepted Answer

The answer of The histogram below shows data from 30...

Question 4

Thirty students were asked,"How much time did you spend studying for the last quiz?" The histograms below were all used on the same data;however,the class size was changed for each one.Which histogram below best displays the data?

Accepted Answer

The answer of Thirty students were asked,"How much time did...

Question 5

When making histograms,the classes ________.

Accepted Answer

Classes should be equal width in a histogram to ensure that the representation of the data is accurate and easy to interpret. If classes are not equal width, the distribution of the data may appear skewed or misleading. For example, if one class is much wider than others, it may contain a disproportionately high number of data points and make the distribution appear more even than it really is.

Question 6

Consider the following data which describe the amount of time in minutes students spend studying for a quiz: 10,11,11,12,12,14,15,18,19,20,22,24,39,40,41,44,46,50,52,52,53,55,70.
What numbers make up the leaf of the first stem if you were splitting the stems?

Accepted Answer

To create stems, we group the data by the tens digit. The first stem would therefore be 1, representing the numbers 10 and 11. The leaf of this stem would be the units digits of these numbers, which are 0 and 1. The option with these numbers is C.

Question 7

The stemplot below displays data from 30 students who were asked,"How much time in minutes do you spend on the Internet?" What do you notice about the stemplot? Variable: Time spent on the Internet
The decimal point is 2 digits to the right of the colon.
0 : 111123334
0 : 59
1 : 022
1 :
2 : 013333
2 : 5
3 : 224
3 :
4 :
4 :
5 : 4
5 : 678
6 :
6 : 5
7 :
7 :
8 :
8 : 7

Accepted Answer

The stems were split and the leaves were trimmed because the data is spread out and there are many different values. Splitting the stems and trimming the leaves makes the stemplot easier to read and interpret.

Question 8

When making a stemplot,it is appropriate to _______ if the values cover a very small range.

Accepted Answer

Splitting the stem in a stemplot is appropriate when the values cover a very small range, as it allows for a more detailed visualization of the data distribution.

Question 9

The distribution of a categorical variable is displayed using _______.

Accepted Answer

The distribution of a categorical variable can be displayed using either counts or percentages (or both). Counts provide the actual number of individuals or observations in each category, while percentages describe the proportion of the total sample that falls into each category. Therefore, the best choice is D, which includes both counts and percentages.

Question 10

What method is useful when comparing two distributions using a stemplot?

Accepted Answer

Back-to-back stemplots are useful when comparing two distributions because they allow for easy visual comparison between the two sets of data. By having the stems shared between the two plots and presenting the leaves in an opposite direction, it is easy to compare the shape, center, and spread of the two distributions. This method helps to quickly identify similarities and differences between the two sets of data.

Question 11

Quantitative variables are best displayed using _______.

Accepted Answer

Stemplots are best for displaying quantitative variables because they can show the distribution of numerical data and preserve the original data values, allowing for a more detailed analysis.

Question 12

Large data sets with quantitative variables are best displayed using ________.

Accepted Answer

Large data sets with quantitative variables are best displayed using histograms because they provide a visual representation of the distribution of the data. Stemplots can also be useful, but histograms are generally better for larger data sets as they allow for a clearer picture of the data.

Question 13

Consider the following data which describe the amount of time in minutes students spend studying for a quiz: 10,11,11,12,12,14,15,18,19,20,22,24,39,40,41,44,46,50,52,52,53,55,70.
What numbers make up the leaf of the last stem?

Accepted Answer

The answer of Consider the following data which describe the...

Question 14

The appearance of a histogram will change when you _______.

Accepted Answer

A histogram is a graphical representation of a frequency distribution, where the data are split into intervals called bins. The appearance of a histogram will change when the class size is changed, because the sizes of the bins will change. Adding more data will also affect the appearance of the histogram, as the shape of the distribution may change. Removing outliers may also affect the appearance, as it will change the range of the data being graphed. Therefore, all of the above options will change the appearance of a histogram.

Question 15

The tails of a distribution show the _______.

Accepted Answer

The tails of a distribution show the extreme values, which are the values that are farthest away from the center of the distribution.

Question 16

Consider the following data which describe the amount of time in minutes students spend studying for a quiz: 10,11,11,12,12,14,15,18,19,20,22,24,39,40,41,44,46,50,52,52,53,55,70.
What numbers make up the stem?

Accepted Answer

The stem consists of the tens place of the data, which range from 10 to 70. Choice A includes all of these numbers.

Question 17

Categorical variables are best displayed by ______.

Accepted Answer

Categorical variables are best displayed by pie charts or bar graphs because both can effectively represent parts of a whole or compare categories, unlike histograms which are better for continuous data.

Question 18

Consider the following data which describe the amount of time in minutes students spend studying for a quiz: 10,11,11,12,12,14,15,18,19,20,22,24,39,40,41,44,46,50,52,52,53,55,70.
What numbers make up the leaf of the first stem?

Accepted Answer

The first stem represents the '10s' place, so the leaves are the '1s' place of numbers in the 10s range (10-19), which are 0,1,1,2,2,4,5,8,9.

Question 19

Consider the following data which describe the amount of time in minutes students spend studying for a quiz: 10,11,11,12,12,14,15,18,19,20,22,24,39,40,41,44,46,50,52,52,53,55,70.
What numbers make up the leaf of the last stem if you were splitting the stems?

Accepted Answer

The answer of Consider the following data which describe the...

Question 20

When using a pie chart,the sum of all the percentages should be _____.

Accepted Answer

The sum of all the percentages in a pie chart should always be 100%, as the whole circle represents 100% of the data being presented.

Quiz 1: Looking at Datadistributions