# statistic homework

The students in a statistics class have the following majors:

a) Make a frequency distribution for this data.

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b) Make a relative frequency distribution for this data. Include relative percentages on this table.

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{32, 40, 52, 23, 39}

a) Find the mean of this sample.

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b) Find the median.

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c) Find the mode of this set.

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2. Consider the following set of data:

{21,32,21,15,80,84,90,78}

a) Find the mean of this sample.

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b) Find the median.

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c) Find the mode of this set.

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3. Consider the following data:

323 412 380 401 280 301 317 440 297 371 353 394

427 399 375 438 329 309 361 340

a) Find the 60th and 70th percentile of this data.

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b) Find the quartiles for this data.

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4. Consider the following data:

{17, 14, 20, 18, 11}

a) Find the sample mean of this data.

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b) Find the range of this data.

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c) Find the sample standard deviation of this data.

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d) Find the coefficient of variation.

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Given a data point x, what does the z-score tell us about x?

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2. Suppose that you have a set of data that has a mean of 34 and a standard deviation of 6.

a) Is the point 28 above, below, or the same as the mean. How many standard deviations is 28 from the mean.

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b) Is the point 46 above, below, or the same as the mean. How many standard deviations is 46 from the mean.

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c) Is the point 43 above, below, or the same as the mean. How many standard deviations is 43 from the mean.

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d) Is the point 20 above, below, or the same as the mean. How many standard deviations is 20 from the mean.

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