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Assume that you are conducting a research on the number of durians sold by a fruit seller over a period of 50 days as shown in the following data. Find a suitable title for the study and identify the objectives of the research. Analyse your data by using the following steps: 1. Construct a frequency distribution table for these data using appropriate number of classes. 2. Find the mean, median, mode and midrange. State which measurement of central tendency best describes the average and why. 3. Compute the range, variance and standard deviation for the data. 4. Present the data in graphs / charts that is appropriate for the data set. 5. Using a certain test determine if the data are approximately normally distributed. 6. The fruit seller claims that last year the average number of durians sold was more the mean of the data. Use the appropriate test to justify the claim made by the fruit seller. You can select a sample from the data or other samples to do the research. Make your own conclusion on the findings. Q1. The amount of protein (in grams) for a variety of fast-food sandwiches is reported as shown below. (a) Construct a frequency distribution, using 6 classes. (b) Draw a histogram, a frequency polygon, and an ogive for the data, using relative frequencies. Describe the shape of the histogram (c) Find the mean, median and mode for the data (d) Find the variance and standard deviation for the data Q2. In addition to being grouped into four types, human blood is grouped by its Rhesus ( Rh ) factor. Consider the figures below which show the distributions of these groups for Americans. Choose 1 American at random. Find the probability that the person a) Is a universal donor, i.e., has O negative blood b) Has type O blood given that the person is Rh+- c) Has A+ or AB-blood d) Has Rh- given that the person has type B Q3. The average price of a personal computer is RM 2630. If the computer prices are approximately normally distributed and =RM100, what is the probability that a randomly selected personal computer costs less than RM 2500 ? Q4. A sample of 40 new bascballs had a bounce height mean of 92.67 in. and a standard deviation of 1.79in. Use a 0.05 significant level to determine whether there is evidence to support the claim that the new balls have bounce heights with a mean different from the previous test figure which is 92.84 in. Assume that you are conducting a research on the number of durians sold by a fruit seller over a period of 50 days as shown in the following data. Find a suitable title for the study and identify the objectives of the research. Analyse your data by using the following steps: 1. Construct a frequency distribution table for these data using appropriate number of classes. 2. Find the mean, median, mode and midrange. State which measurement of central tendency best describes the average and why. 3. Compute the range, variance and standard deviation for the data. 4. Present the data in graphs / charts that is appropriate for the data set. 5. Using a certain test determine if the data are approximately normally distributed. 6. The fruit seller claims that last year the average number of durians sold was more the mean of the data. Use the appropriate test to justify the claim made by the fruit seller. You can select a sample from the data or other samples to do the research. Make your own conclusion on the findings. Q1. The amount of protein (in grams) for a variety of fast-food sandwiches is reported as shown below. (a) Construct a frequency distribution, using 6 classes. (b) Draw a histogram, a frequency polygon, and an ogive for the data, using relative frequencies. Describe the shape of the histogram (c) Find the mean, median and mode for the data (d) Find the variance and standard deviation for the data Q2. In addition to being grouped into four types, human blood is grouped by its Rhesus ( Rh ) factor. Consider the figures below which show the distributions of these groups for Americans. Choose 1 American at random. Find the probability that the person a) Is a universal donor, i.e., has O negative blood b) Has type O blood given that the person is Rh+- c) Has A+ or AB-blood d) Has Rh- given that the person has type B Q3. The average price of a personal computer is RM 2630. If the computer prices are approximately normally distributed and =RM100, what is the probability that a randomly selected personal computer costs less than RM 2500 ? Q4. A sample of 40 new bascballs had a bounce height mean of 92.67 in. and a standard deviation of 1.79in. Use a 0.05 significant level to determine whether there is evidence to support the claim that the new balls have bounce heights with a mean different from the previous test figure which is 92.84 in

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