# Chapter 1. Describing Density Curves

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Stat Tutor
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### Question 1.1

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Incorrect. Graphically, the mean is equivalent to the balance point.
Correct. Graphically, the mean is equivalent to the balance point.
Incorrect. Try again.
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### Question 1.2

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Incorrect. Since the median is considered to be the middle of the ordered data set, it cuts the area of the density curve in half.
Correct. Since the median is considered to be the middle of the ordered data set, it cuts the area of the density curve in half.
Incorrect. Try again.
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3:32

### Question 1.3

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Incorrect. The mean equals the median when the density curve is symmetric.
Correct. The mean equals the median when the density curve is symmetric.
Incorrect. Try again.
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### Question 1.4

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Incorrect. The mean is pulled towards the longest tail. So if the density curve is right-skewed, then the mean is to the right of the median.
Correct. The mean is pulled towards the longest tail. So if the density curve is right-skewed, then the mean is to the right of the median.
Incorrect. Try again.
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### Question 1.5

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Incorrect. The mean is pulled towards the longest tail. So if the density curve is left-skewed, then the mean is to the left of the median.
Correct. The mean is pulled towards the longest tail. So if the density curve is left-skewed, then the mean is to the left of the median.
Incorrect. Try again.
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4:36

### Question 1.6

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Incorrect. The symbol for mean of a population differs from the notation for mean of a sample. Similarly, the symbol for standard deviation of a population differs from the notation for standard deviation of a sample.
Correct. The symbol for mean of a population differs from the notation for mean of a sample. Similarly, the symbol for standard deviation of a population differs from the notation for standard deviation of a sample.
Incorrect. Try again.
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### Question 1.7

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Incorrect. μ represents the mean of the density curve. And a density curve represents the population.
Correct. μ represents the mean of the density curve. And a density curve represents the population.
Incorrect. Try again.
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### Question 1.8

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Incorrect. σ represents the standard deviation of the density curve.
Correct. σ represents the standard deviation of the density curve.
Incorrect. Try again.
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### Question 1.9

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Incorrect. x̄ represents the mean of data in a sample.
Correct. x̄ represents the mean of data in a sample.
Incorrect. Try again.
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### Question 1.10

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Incorrect. s represents the standard deviation of data in a sample.
Correct. s represents the standard deviation of data in a sample.
Incorrect. Try again.
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