Statistics Chapter on Sampling and Data Measures
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Questions and Answers

What is the main distinction between Simple Random Sampling and Stratified Random Sampling?

  • Simple Random Sampling selects individuals from the entire population randomly. (correct)
  • Stratified Random Sampling divides the population into subgroups before sampling. (correct)
  • Simple Random Sampling guarantees equal representation from all subgroups.
  • Stratified Random Sampling collects data only from strata that are overrepresented.
  • Calculate the median from the following set of numbers: 88.03, 94.50, 94.90, 95.05, 84.60.

  • 94.90 (correct)
  • 88.03
  • 94.50
  • 95.05
  • What is the mode of the following data set: 185-195: 2, 195-205: 1, 205-215: 3, 215-225: 4, 225-235: 5, 235-245: 6, 245-255: 4, 255-265: 3, 265-275: 2, 275-245: 1?

  • 215-225
  • 235-245 (correct)
  • 225-235
  • 195-205
  • How would you calculate the mean of the following grouped data: 185-195 (2), 195-205 (1), 205-215 (3), 215-225 (4), 225-235 (5), 235-245 (6), 245-255 (4), 255-265 (3), 265-275 (2), 275-245 (1)?

    <p>By averaging the midpoints of each range weighted by their frequencies.</p> Signup and view all the answers

    What is the standard deviation of the data represented in ranges: 185-195 (2), 195-205 (1), 205-215 (3), 215-225 (4), 225-235 (5), 235-245 (6), 245-255 (4), 255-265 (3), 265-275 (2), 275-245 (1)?

    <p>It is determined using the variance of each range.</p> Signup and view all the answers

    Study Notes

    Q1: Difference Between Sampling Methods

    • Simple Random Sampling and Stratified Random Sampling differ in how they select samples from a population.
    • Simple Random Sampling involves selecting individuals purely at random, while Stratified Random Sampling divides the population into groups (strata) and then randomly selects individuals from each group.

    Q2: Finding Mean, Median, and Mode

    • Data Set: 88.03, 94.50, 94.90, 95.05, 84.60
    • Mean: Calculate the average by adding all values and dividing by the count.
    • Median: Arrange data in ascending order and find the middle value.
    • Mode: The most frequently occurring value.

    Q3: Calculating Mean, Median, and Standard Deviation (SD)

    • Data is presented in groups.
    • The data shows frequencies for each interval.
    • To calculate mean, median and SD you will need the values in each interval.

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    Description

    This quiz explores key concepts in statistics, including different sampling methods such as Simple Random Sampling and Stratified Random Sampling. It also covers how to calculate essential statistical measures like mean, median, mode, and standard deviation. Test your understanding of these fundamental statistical techniques!

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