Question

chapter 3 - part 1
review
sections 1 & 2

1. identify whether each statement represents a

statistic or parameter.
s p data collected from a sample.
s p the average height of all students in athletics.
s p miles driven daily by some texas residents.
s p median income of female teachers.

1. which set of data would be expected to have a

higher standard deviation due to there being
more variability?
a. what is the age of high school students?
b. what is the age of sealy residents?

1. when the mean is greater than the median,

the data is...
a. skewed left c. bell - shaped / symmetrical
b. skewed right d. uniform

Explanation:

1.

Statement 1:

• Step1: Definition check

A statistic is a characteristic of a sample. Since "Data collected from a sample" refers to a sample - based measure, it is a statistic.

• Step2: Another definition check

A parameter is a characteristic of a population. "The average height of all students in athletics" refers to the entire population of students in athletics, so it is a parameter.

• Step3: Third definition check

"Miles driven daily by some Texas residents" is based on a sample (some residents, not all), so it is a statistic.

• Step4: Fourth definition check

"Median income of female teachers" - if we assume it is based on a sample (unless specified as all female teachers in a particular well - defined population), it is a statistic.

2.

Option A and B comparison

• Step1: Range of data

The age of high - school students is likely to be in a relatively narrow range (e.g., 14 - 18 years old).

• Step2: Another range of data

The age of Sealy residents can range from 0 (newborns) to over 100 years old. A larger range of values generally leads to a higher standard deviation (since standard deviation measures the spread of data). So, the data set of the age of Sealy residents (Option B) has more variability.

3.

Skewness and mean - median relationship

• Step1: Skewness concept

In a right - skewed distribution, there are a few large values (outliers on the right side). These large values pull the mean towards the right (increase the mean).

• Step2: Mean - median comparison

The median is less affected by extreme values. So, when the mean is greater than the median, the data is skewed right.

Answer:

1.

• Data collected from a sample: Statistic (S)
• The average height of all students in athletics: Parameter (P)
• Miles driven daily by some Texas residents: Statistic (S)
• Median income of female teachers: Statistic (S)

1. B. What is the age of Sealy residents?
2. B. skewed right