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Calculating Mode and Median in a Dataset

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40 Questions

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

5

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

6.5

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

Mode

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

2

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

All of the above

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

Range

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

All of the above

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

Standard Deviation

What is the range of a data set defined as?

The difference between the largest and smallest scores in the data

Which software is commonly used for calculating standard deviation?

SPSS

What does the interquartile range measure?

The range of the middle 50% of values only

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

Standard deviation

In statistics, what does Q1 represent?

Lower quartile

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

Range

'SPSS' is commonly used software for which field?

Statistical Analysis

'σ' symbolizes which measure in statistics?

Standard deviation

What is the shape of the normal distribution curve?

Symmetrical about the mean

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

Most values are concentrated around the mean

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

68.3%

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

The mean, median, and mode all coincide at the same value

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

The number of observations falling between those two points

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

Approximately 99.7% of observations fall within $\pm 3$ SD of the mean

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

The mean and standard deviation are related, with specific percentages of observations falling within certain ranges

Which term is used to describe the normal distribution curve?

Gaussian distribution

What is the primary purpose of the standard error?

To measure the accuracy with which a sample represents a population

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

Type I error

What is the mathematical formula for calculating the standard error?

SE = $\frac{\sigma}{\sqrt{n}}$

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

The p-value is the probability of observing the data if the null hypothesis is true

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

The data provides sufficient evidence to reject the null hypothesis

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

To establish a baseline for comparison

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

Type II error

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

The standard error decreases as the sample size increases

What does a low standard deviation indicate about the data?

The data are clustered around the mean

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

=STDEV(Cell1:CellN)

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

The curve is symmetrical around the mean

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

68.2%

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

142.5-177.5 cm

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

157.5-160.0 cm

What is the mean height reported in the information provided?

161.2 cm

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

5 cm

Learn how to calculate the most frequently occurring value (mode) and the middle value (median) in a dataset using examples. Understand the concept of mode and median with step-by-step explanations.

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