Measure of dispersion | Mathematics homework help

QUESTION 1 (20) State whether each of the statements below is TRUE or FALSE. If FALSE, provide a reason. 1.1. In a data set, the range is a measure of dispersion. 1.2. The most frequently occurring value in a data set is called the median. 1.3. The most passive data collection method is experimentation. 1.4. In linear correlation, a Pearson’s correlation coefficient of indicates a weak and indirect relationship between the variables. 1.5. The outcome of an examination is an example of a binomial experiment. 1.6. Approximately 95% of the area below the normal distribution curve lies between and . 1.7. The volume of water consumed by an athlete during the Comrades Marathon is quantitative and discrete. 1.8. There are three quartiles in a data set. QUESTION 2 (20) The following data give the hourly wage rates (Rands) for a sample of 20 workers selected from a large company. 12.50 9.45 13.85 7.25 8.70 14.60 11.75 14.50 10.80 12.45 7.50 15.90 9.75 11.50 13.30 6.25 15.50 12.80 5.35 9.50 2.1. Using the raw data, determine the range. (2) 2.2 Group the data into a frequency distribution with a lowest class lower limit of R 5.00 and a class width of R 2.00. (7) 2.3 Determine the mean wage rate using the raw data. (3) 2.4 Draw an OGIVE curve corresponding to the data and use it to estimate the median. (8) QUESTION 3 (20) The following data represents the number of cellular phones sold by an agent for 50 consecutive days. Cellular phones sold Frequency 1 – 13 7 14 – 26 6 27 – 39 5 40 – 52 9 53 – 65 15 66 – 78 8 3.1 For the 50-day period, calculate the: 3.1.1 mean number of cellular phones sold. (9) 3.1.2 modal number of cellular phones sold. (2) 3.2 Determine the standard deviation QUESTION 4 (20) 4.1 The Food and Drug Administration (FDA) approves 20% of drugs submitted for its approval. Find the probability that in a sample of 15 drugs submitted for the FDA’s approval, the number of drugs that are approved is: 4.1.1 exactly 4 (4) 4.1.2 at most 2 (8) 4.2 State two properties of the normal distribution function. (2) 4.3 A racing car is one of the many toys manufactured by Mack Corporation. The assembly time for this toy follows a normal distribution with a mean of 55 minutes and a standard deviation of 4 minutes. The company closes at 5pm every day. If one worker starts assembling a racing car at 4pm, what is the probability that she will finish this job before the company closes for the day? (6)

Order a unique copy of this paper
(550 words)

Approximate price: $22

Basic features
  • Free title page and bibliography
  • Unlimited revisions
  • Plagiarism-free guarantee
  • Money-back guarantee
  • 24/7 support
On-demand options
  • Writer’s samples
  • Part-by-part delivery
  • Overnight delivery
  • Copies of used sources
  • Expert Proofreading
Paper format
  • 275 words per page
  • 12 pt Arial/Times New Roman
  • Double line spacing
  • Any citation style (APA, MLA, Chicago/Turabian, Harvard)

Our Guarantees is always working towards customer satisfaction. Our professional academic writers always aim at producing comprehensive papers that possess quality and originality at pocket-friendly prices. Students are assured that all their private information is safe with us.

Money-Back Guarantee provides a system where students can request for money-back in case they cancel the order or in the rare instances of dissatisfaction. The refund policy adheres to the company’s term and conditions on money-back.

Read more

Zero-Plagiarism Guarantee

While providing the best professional essay writing services, we guarantee all our students of plagiarism-free papers. All papers produced by our professional academic writers are checked against all web resources and previously completed papers to avoid plagiarism.

Read more

Free Revision Policy

In our urge to provide the best professional essay writing services, we guarantee students of free revision policy. The free revision policy is a courtesy service where students can request for unlimited for their completed papers. We always aim at achieving 100% customer satisfaction rates. The free revision policy is one among many of our major advantages.

Read more

Privacy Policy

At, every student is entitled to total security. Our professional academic writers are always committed to protecting all private information of our customers. We do not share any personal information with third parties. Additionally, we provide safe systems for all online transactions.

Read more

Fair-Cooperation Guarantee

Working with us is the greatest step towards achieving all your academic goals. We always deliver the best professional essay writing services as promised. We, therefore, expect all students to work cooperatively with us, as we work towards achieving our goal, your satisfaction. This way, all services will be delivered accurately and on time.

Read more

Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
The price is based on these factors:
Academic level
Number of pages