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MATH 103 Unit 1-Unit 4 (M1-M10) | 2025-2026 LATEST UPDATED |
ACTUAL EXAM QUESTIONS WITH SOLUTIONS | 100% RATED
CORRECT | 100% VERFIED SOLTIONS | ALREADY GRADED A+
Steps in a statistical investigation - (ANSWER)1. Produce Data: Determine what to measure,
then collect the data.
2. Explore the Data: Analyze and summarize the data. AKA exploratory data analysis
3. Draw a Conclusion: Use the data, probability, and statistical inference to draw a conclusion
about the population..
Histograms - (ANSWER)- Can see shape of distribution
- Can identify interval of typical values
- Because data is in bins, we cannot see individual data values
- Cannot ID a single data value to represent the center of distribution
What can we see in a graph that summarizes the distribution of a quantitative variable? -
(ANSWER)What can we see in a dotplot that summarizes the distribution of a quantitative
variable?
,2|Page
Dotplots - (ANSWER)- Individual variable values are visible, particularly when the data set is
small.
- Descriptions of shape, center, and spread are not affected by how the dotplot is constructed.
- We can accurately calculate the overall range (largest value - smallest value).
What is the center in the distribution of a quantitative variable? - (ANSWER)typical value that
can represent the distribution of data
Measures for identifying the center of the distribution - (ANSWER)(1) mean
(2) median
Mean - (ANSWER)average, x-bar, fair share measure of center, balancing pt of distribution (total
distance of pts below mean = total distance of pts above mean)
Median - (ANSWER)middle of data when all values listed in order, half of data are above it and
half are below it, each group is equal-sized
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A dotplot shows a distribution where the data is divided into equal-sized subgroups with 25% of
the adults in each subgroup.
Which measure of center can you most accurately estimate from this info? - (ANSWER)Median.
It divides data into equal-sized groups. So approx 50% of data is above median and approx 50%
is below
When do you use mean as a measure of center? - (ANSWER)ONLY for distributions that are
reasonably symmetric with central peak; when outliers present NOT good choice
When do you use median as a measure of center? - (ANSWER)for all cases including:
symmetric distribution, skewed distribution, outliers present
Which distribution has smallest mean:
(A) Right skewed, with peak at far left
(B) Right skewed, with peak in middle
(C) Left skewed, with peak to far right - (ANSWER)(A) Right skewed, with peak at far left
MATH 103 Unit 1-Unit 4 (M1-M10) | 2025-2026 LATEST UPDATED |
ACTUAL EXAM QUESTIONS WITH SOLUTIONS | 100% RATED
CORRECT | 100% VERFIED SOLTIONS | ALREADY GRADED A+
Steps in a statistical investigation - (ANSWER)1. Produce Data: Determine what to measure,
then collect the data.
2. Explore the Data: Analyze and summarize the data. AKA exploratory data analysis
3. Draw a Conclusion: Use the data, probability, and statistical inference to draw a conclusion
about the population..
Histograms - (ANSWER)- Can see shape of distribution
- Can identify interval of typical values
- Because data is in bins, we cannot see individual data values
- Cannot ID a single data value to represent the center of distribution
What can we see in a graph that summarizes the distribution of a quantitative variable? -
(ANSWER)What can we see in a dotplot that summarizes the distribution of a quantitative
variable?
,2|Page
Dotplots - (ANSWER)- Individual variable values are visible, particularly when the data set is
small.
- Descriptions of shape, center, and spread are not affected by how the dotplot is constructed.
- We can accurately calculate the overall range (largest value - smallest value).
What is the center in the distribution of a quantitative variable? - (ANSWER)typical value that
can represent the distribution of data
Measures for identifying the center of the distribution - (ANSWER)(1) mean
(2) median
Mean - (ANSWER)average, x-bar, fair share measure of center, balancing pt of distribution (total
distance of pts below mean = total distance of pts above mean)
Median - (ANSWER)middle of data when all values listed in order, half of data are above it and
half are below it, each group is equal-sized
, 3|Page
A dotplot shows a distribution where the data is divided into equal-sized subgroups with 25% of
the adults in each subgroup.
Which measure of center can you most accurately estimate from this info? - (ANSWER)Median.
It divides data into equal-sized groups. So approx 50% of data is above median and approx 50%
is below
When do you use mean as a measure of center? - (ANSWER)ONLY for distributions that are
reasonably symmetric with central peak; when outliers present NOT good choice
When do you use median as a measure of center? - (ANSWER)for all cases including:
symmetric distribution, skewed distribution, outliers present
Which distribution has smallest mean:
(A) Right skewed, with peak at far left
(B) Right skewed, with peak in middle
(C) Left skewed, with peak to far right - (ANSWER)(A) Right skewed, with peak at far left
