Math Problem Statement
Use the following set of data to answer the questions:
16 22 19 10 13 19 23 20 18 11 14 19
*Remember to use the round-off rule, keeping one more decimal place than the values in your data.
You can type the data into Statcrunch or open the following file, copy the data and paste it into Statcrunch. Quiz 3 Data List to Copy and Paste
Question 1 (2 points)
Listen Calculate the sample mean of the data.
Your Answer: Question 1 options: Answer Question 2 (2 points)
Listen What is the median value of the sample?
Your Answer: Question 2 options: Answer Question 3 (2 points)
Listen What is the mode of the sample?
Your Answer: Question 3 options: Answer Question 4 (1 point)
Listen Calculate the midrange of the sample.
Your Answer: Question 4 options: Answer Question 5 (2 points)
Listen What is the standard deviation of the sample?
Your Answer: Question 5 options: Answer Question 6 (1 point)
Listen Calculate the variance of the sample.
Round your answer to the hundredths place.
Your Answer: Question 6 options: Answer Use the following frequency table of weights of boxes (in pounds) to answer the questions below. Remember to keep one more decimal place than what is in your data.
Class Frequency 1.0 - 3.4 2 3.5 - 5.9 5 6.0 - 8.4 7 8.5 - 10.9 16 11.0 - 13.4 4 Question 7 (4 points)
Listen Estimate the mean of the data using the Frequency Distribution.
Your Answer: Question 7 options: Answer units Question 8 (4 points)
Listen What are the class midpoints?
Question 8 options:
3.5, 6, 11.5, 10
2.25, 4.75, 7.25, 9.75, 12.25
0.95, 3.45, 5.95, 8.45, 10.95, 13.45
2.2, 4.7, 7.2, 9.7, 12.2
Question 9 (2 points)
Listen What is the shape of the distribution?
Question 9 options:
skewed to the right
uniform
symmetric
skewed to the left
Solution
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Math Problem Analysis
Mathematical Concepts
Descriptive Statistics
Frequency Distribution
Measures of Central Tendency
Measures of Spread
Formulas
Sample Mean: (Σx) / n
Median: Middle value of the ordered data
Mode: Most frequent value
Midrange: (Max + Min) / 2
Standard Deviation: sqrt[(Σ(x - mean)^2) / (n-1)]
Variance: (Standard Deviation)^2
Frequency Distribution Mean: (Σ(frequency * midpoint)) / Σ(frequency)
Theorems
Empirical Rule
Central Limit Theorem (CLT)
Suitable Grade Level
Grades 9-12
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