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Statistics document for study, Assignments of Statistics

Academy CollegeStatistics

Statistics document for study Statistics document for study Statistics document for study Statistics document for study Statistics document for study

Typology: Assignments

2019/2020

Uploaded on 06/10/2020

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Lesson 1 Worksheet– Descriptive Statistics
(LO2)
Topics: Mean, Median, Mode, Range, SD, Variance, Rounding rules
1) Which of the following is the properly rounded mean for the given data?
7, 8, 13, 9, 10, 11
A) 10 B) 9.7 C) 9.67 D) 9
2) What is the median of the following set of values?
9, 7, 4, 2, 13
A) 4 B) 6 C) 7 D) 8
3) Find the mode for the following data?
5, 4, 3, 4, 5, 6, 5, 5, 3, 4
A) 3 B) 4 C) 5 D) 6
4) What is the range of the following data set?
1, 7, 6, 8, 0, 8, 14, 14, 14
A) 7 B) 8 C) 1 D) 14
5) Find the mean of the following data set?
9, 4, 7, 2, 13
A) 4.0 B) 6.0 C) 7.0 D) 8.0
6) What is the median of the following data set?
2, 5, 9, 10, 14
A) 8 B) 9 C) 10 D) 12
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Lesson 1 Worksheet– Descriptive Statistics

(LO2)

Topics: Mean, Median, Mode, Range, SD, Variance, Rounding rules

  1. Which of the following is the properly rounded mean for the given data? 7, 8, 13, 9, 10, 11 A) 10 B) 9.7 C) 9.67 D) 9
  2. What is the median of the following set of values? 9, 7, 4, 2, 13 A) 4 B) 6 C) 7 D) 8
  3. Find the mode for the following data? 5, 4, 3, 4, 5, 6, 5, 5, 3, 4 A) 3 B) 4 C) 5 D) 6
  4. What is the range of the following data set? 1, 7, 6, 8, 0, 8, 14, 14, 14 A) 7 B) 8 C) 1 D) 14
  5. Find the mean of the following data set? 9, 4, 7, 2, 13 A) 4.0 B) 6.0 C) 7.0 D) 8.
  6. What is the median of the following data set? 2, 5, 9, 10, 14 A) 8 B) 9 C) 10 D) 12
  1. The number of police officers in selected city districts is listed below. Find the mode. 24, 26, 24, 30, 23, 28, 19, 31, 24, 26, 19 A) 23 B) 24 C) 26 D) 28
  2. Find the mean, mode and median for the following data set. 12, 15, 18, 18, 15, 22, 15, 30, 12
  3. Find the mean of the following set of values. 3, 10, 8, 6, 8
  4. Find the median of the following data set. 6, 13, 10, 9, 6
  5. Find the median for the following data. 6, 7, 4, 5, 3, 7, 4 A) 3 B) 4 C) 5 D) 7
  6. State True or False: for the data set 1, 8, 7, 2, 9, 15, 18, the properly rounded mean is 9.
  7. What is the mean of the following data set? 3, 7, 10, 11, 12 A) 6.0 B) 8.6 C) 10.0 D) 13.
  1. Ten friends scored the following marks in their end-of-year math exam. 23%, 37%, 45%, 49%, 56%, 63%, 63%, 70%, 72% and 82% Considering this as a sample, what was the standard deviation of their marks?
  2. A book consisting of 200 pages has 12 pages with the following numbers of words: 271, 354, 296, 301, 333, 326, 285, 298, 327, 316, 287 and 314 What is the standard deviation of the number of words per page?

Challenge Question:

  1. Emma rolled a die a number of times and recorded her results in a bar graph, as follows: What was the variance of Emma’s experiment?
  1. The normal daily high temperatures (in degree Fahrenheit) in January for 10 selected cities are as follows. 50, 37, 29, 54, 30, 61, 47, 38, 34, 61 The normal monthly precipitation (in inches) for these same cities is listed here. 4.8, 2.6, 1.5, 1.8, 1.8, 3.3, 5.1, 1.1, 1.8, 2. Which set is more variable? Explain your answer.
  2. The net worth (in billions of dollars) of a sample of the richest people in the United States is shown. Find the mean, median, mode, variance and standard deviation for the data. 59 52 28 26 19 19 18 17 17 17
  1. The following data are the joint temperatures of the O-rings (°F) for each test firing or actual launch of the space shuttle rocket motor (from Presidential Commission on the Space Shuttle Challenger Accident, Vol. 1, pp. 129–131): 84, 49, 61, 40, 83, 67, 45, 66, 70, 69, 80, 58, 68, 60, 67, 72, 73, 70, 57, 63, 70, 78, 52, 67, 53, 67, 75, 61, 70, 81, 76, 79, 75, 76, 58, 31. (a) Compute the sample mean and sample standard deviation. (b) Set aside the smallest observation and re-compute the quantities in part (a). Comment on your findings. How “different” are the other temperatures from this last value?