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Praxis Core (Teaching) Mathematics — practice by topic

Browse 26 questions across 1 Mathematics topics. Choose what you want to revise, then open a question to check its answer and worked solution.

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Mathematics topics

The Normal Distribution (26)

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A normal curve is symmetric about a vertical line drawn through which value?Read the answer and worked solution →In a normal distribution, where do the mean, the median and the mode sit?Read the answer and worked solution →The standard normal distribution has which mean and standard deviation?Read the answer and worked solution →A z-score reports how far a value sits from the mean, measured in which units?Read the answer and worked solution →

Worked practice questions

A normal curve is symmetric about a vertical line drawn through which value?

  1. The mean
  2. The range
  3. The count
  4. The total
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Correct answer: A. The mean

1. A normal curve has one hump and two tails that fall away evenly. 2. The line of symmetry runs vertically through the mean. 3. Fold the picture along that line and the two halves match. _Source: OpenStax High School Statistics (CC BY 4.0), section 6.1 The Standard Normal Distribution_

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In a normal distribution, where do the mean, the median and the mode sit?

  1. All at different points
  2. All at the same point
  3. All at the left tail
  4. All at the right tail
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Correct answer: B. All at the same point

1. The mean is the balance point, the median splits the data in half, and the mode is the peak. 2. A normal curve is symmetric, so its balance point and its halfway point are the same place. 3. That same place is also the highest point of the curve, so all three land together. _Source: OpenStax High School Statistics (CC BY 4.0), section 6.1 The Standard Normal Distribution_

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The standard normal distribution has which mean and standard deviation?

  1. Mean 1, standard deviation 0
  2. Mean 0, standard deviation 0
  3. Mean 0, standard deviation 1
  4. Mean 1, standard deviation 1
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Correct answer: C. Mean 0, standard deviation 1

1. The standard normal is the one special curve every other normal can be turned into. 2. Its mean is set at 0, so the centre of the curve sits at zero. 3. Its standard deviation is set at 1, so one step out from the centre is one unit. 4. A standard deviation of 0 would mean no spread at all, which is not a curve. _Source: OpenStax High School Statistics (CC BY 4.0), section 6.1 The Standard Normal Distribution_

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