Calculating Mode and Median in a Dataset
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Questions and Answers

What is the median of the DMFT score for the 7 children in Example 1?

  • 3
  • 4
  • 6
  • 5 (correct)

    • What is the median of the data set in Example 2?

  • 6.5 (correct)
  • 7
  • 5.5
  • 6

    • Which measure of central tendency is defined as the value that occurs most frequently in a data set?

  • Mean
  • Mode (correct)
  • Range
  • Median

    • What is the mode of the data set 1,2,2,8,5,2,7,3,2?

    <p>2 (B)</p> Signup and view all the answers

    What is the purpose of measuring dispersion in a data set?

    <p>All of the above (D)</p> Signup and view all the answers

    Which measure of dispersion is defined as the difference between the highest and lowest values in a distribution?

    <p>Range (C)</p> Signup and view all the answers

    What is the significance of measuring dispersion in a data set?

    <p>All of the above (D)</p> Signup and view all the answers

    Which measure of dispersion is calculated as the square root of the variance?

    <p>Standard Deviation (D)</p> Signup and view all the answers

    What is the range of a data set defined as?

    <p>The difference between the largest and smallest scores in the data (C)</p> Signup and view all the answers

    Which software is commonly used for calculating standard deviation?

    <p>SPSS (C)</p> Signup and view all the answers

    What does the interquartile range measure?

    <p>The range of the middle 50% of values only (B)</p> Signup and view all the answers

    Which measure is sensitive to extreme scores in a data set?

    <p>Standard deviation (A)</p> Signup and view all the answers

    In statistics, what does Q1 represent?

    <p>Lower quartile (A)</p> Signup and view all the answers

    'XL - XS' refers to the calculation of which statistical measure?

    <p>Range (A)</p> Signup and view all the answers

    'SPSS' is commonly used software for which field?

    <p>Statistical Analysis (A)</p> Signup and view all the answers

    'σ' symbolizes which measure in statistics?

    <p>Standard deviation (D)</p> Signup and view all the answers

    What is the shape of the normal distribution curve?

    <p>Symmetrical about the mean (C)</p> Signup and view all the answers

    Which statement is true about the distribution of values in a normal distribution?

    <p>Most values are concentrated around the mean (D)</p> Signup and view all the answers

    What percentage of observations falls within one standard deviation ($\pm 1$ SD) of the mean in a normal distribution?

    <p>68.3% (D)</p> Signup and view all the answers

    Which statement is true about the measures of central tendency in a normal distribution?

    <p>The mean, median, and mode all coincide at the same value (C)</p> Signup and view all the answers

    What does the area under the normal curve between two points represent?

    <p>The number of observations falling between those two points (C)</p> Signup and view all the answers

    Which statement is true about the distribution of observations in a normal distribution relative to the mean and standard deviation?

    <p>Approximately 99.7% of observations fall within $\pm 3$ SD of the mean (B)</p> Signup and view all the answers

    What is the relationship between the mean and the standard deviation in a normal distribution?

    <p>The mean and standard deviation are related, with specific percentages of observations falling within certain ranges (D)</p> Signup and view all the answers

    Which term is used to describe the normal distribution curve?

    <p>Gaussian distribution (D)</p> Signup and view all the answers

    What is the primary purpose of the standard error?

    <p>To measure the accuracy with which a sample represents a population (D)</p> Signup and view all the answers

    If the null hypothesis is true and you reject it, what type of error have you committed?

    <p>Type I error (D)</p> Signup and view all the answers

    What is the mathematical formula for calculating the standard error?

    <p>SE = $\frac{\sigma}{\sqrt{n}}$ (C)</p> Signup and view all the answers

    What is the relationship between the p-value and the null hypothesis?

    <p>The p-value is the probability of observing the data if the null hypothesis is true (B)</p> Signup and view all the answers

    If the p-value is less than the chosen significance level, what can be concluded?

    <p>The data provides sufficient evidence to reject the null hypothesis (A)</p> Signup and view all the answers

    What is the purpose of stating the null hypothesis in research?

    <p>To establish a baseline for comparison (C)</p> Signup and view all the answers

    If the null hypothesis is false and you accept it, what type of error have you committed?

    <p>Type II error (D)</p> Signup and view all the answers

    What is the relationship between the standard error and the sample size?

    <p>The standard error decreases as the sample size increases (A)</p> Signup and view all the answers

    What does a low standard deviation indicate about the data?

    <p>The data are clustered around the mean (C)</p> Signup and view all the answers

    What is the formula in Microsoft Excel to calculate the standard deviation of a range of cells?

    <p>=STDEV(Cell1:CellN) (C)</p> Signup and view all the answers

    What is the property of the normal distribution curve that is described as 'bell-shaped'?

    <p>The curve is symmetrical around the mean (A)</p> Signup and view all the answers

    According to the normal distribution curve shown, what percentage of the data falls within $\ ext{pm} 1$ standard deviation of the mean?

    <p>68.2% (D)</p> Signup and view all the answers

    What is the range of the height data shown in the frequency distribution table?

    <p>142.5-177.5 cm (B)</p> Signup and view all the answers

    What is the modal height category in the frequency distribution table?

    <p>157.5-160.0 cm (B)</p> Signup and view all the answers

    What is the mean height reported in the information provided?

    <p>161.2 cm (A)</p> Signup and view all the answers

    What is the standard deviation of the height data reported in the information provided?

    <p>5 cm (D)</p> Signup and view all the answers

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