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11.2 Data Analysis
11.2.1 Descriptive Statistics
a. Measures of Central Tendency
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Cards (52)
What is the purpose of descriptive statistics in data analysis?
Summarize and describe data
The mean is calculated by summing all values and dividing by the number of
values
The
median
is the middle value in a dataset when ordered from least to greatest.
What is the mode in a dataset?
Most frequently occurring value
The mean can be significantly affected by
outliers
Steps to calculate the median for an odd number of values
1️⃣ Order the data from least to greatest
2️⃣ Identify the middle value
Match the measure with its description:
Mean ↔️ Average of all values
Median ↔️ Middle value in ordered data
Mode ↔️ Most frequently occurring value
Measures of central tendency identify a
central value
around which data tends to cluster.
How is the mean calculated in descriptive statistics?
Sum values and divide by count
The median is the single middle value when there is an odd number of
values
What is the mode for the dataset
2
,
3
,
3
,
4
,
5
2, 3, 3, 4, 5
2
,
3
,
3
,
4
,
5
?
3
3
3
The formula for the mean is
M
e
a
n
=
Mean =
M
e
an
=
∑
x
n
\frac{\sum x}{n}
n
∑
x
.
How is the median calculated when there is an even number of values?
Average the two middle values
The mean provides a stable central value but is affected by
outliers
The median is not affected by outliers in a
dataset
.
What is the mode for the dataset
2
,
3
,
3
,
4
,
5
2, 3, 3, 4, 5
2
,
3
,
3
,
4
,
5
?
3
3
3
The mean is calculated by summing all values and dividing by the number of
values
The mean, median, and
mode
are all measures of central tendency.
What do descriptive statistics summarize and describe about a dataset?
Main features and insights
Descriptive statistics use statistical methods to summarize and describe
datasets
Match the measure with its description:
Mean ↔️ Average of all values
Median ↔️ Middle value in ordered data
Mode ↔️ Most frequently occurring value
What is one key point about descriptive statistics?
Summarize dataset features
The mean, median, and
mode
are all measures of central tendency.
Descriptive statistics summarize and describe the main features of a
dataset
Mean, median, and
mode
are key measures in descriptive statistics.
The mean is calculated using the formula
M
e
a
n
=
Mean =
M
e
an
=
∑
x
n
\frac{\sum x}{n}
n
∑
x
, where
∑
x
\sum x
∑
x
is the sum of all values
The mode is the value that appears most
frequently
The mean is sensitive to
outliers
To find the median, you must first arrange the
data
from least to greatest.
The mode is useful for identifying the most common
number
Match each measure with its definition:
Mean ↔️ Average of all values
Median ↔️ Middle value in sorted data
Mode ↔️ Most frequent value
The mean is calculated using the formula
M
e
a
n
=
Mean =
M
e
an
=
∑
x
n
\frac{\sum x}{n}
n
∑
x
, where n is the number of values
If there are an even number of values, the median is the average of the two
middle
values.
The mode is the value that appears most
frequently
The mean is the average of all values in a dataset, calculated by summing all values and dividing by the number of
values
To find the median, you must first arrange the
data
from least to greatest.
If there are an even number of values, the median is the average of the two middle
numbers
The mean is sensitive to
outliers
Match the measure with its definition:
Mean ↔️ Average of all values
Median ↔️ Middle value
Mode ↔️ Most frequent value
The median is affected by outliers.
False
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