Reference no: EM132852640

Read and analyze the following statistical problems. Then answer the questions that follow for each of the items given.

1. Suppose a marathon player covers 7 kilometers with a speed of 30 kilometer per hour in a race for his one-way trip. During the return trip, his speed decelerates to 25 km per hour. Find the average speed of the marathon player for his two-way trips in a race.

2. A course professor rated his students on 5 different short exams, major projects, and long examinations. Each short test is worth 5% of the final grade while the projects count 35% of the final grade. The long examination composed the remaining 40% of the final grade. Annabelle had scores in her 5 short examinations, 95, 90, 80, 75, 85. Her major projects had a rating of 90 while her long examination score was 88. Determine Annabelle's final grade for the course.

3. After taking a series of 4 classroom examinations, John obtained a mean score of 82. How much score John has to get in another examination to increase his score average score to 85?

4. Consider the data of a businessman that accumulates the daily sales of his restaurant business during the 10-day period. The data are shown below.

Php 18,500 Php 23,600 Php 21,210 Php 14,515 Php 20,500

Php 21,700 Php 14,250 Php 18,345 Php 28,550 Php 32,220

Obtain the mean, range, and sample standard deviation of the given data set.

Then interpret the resulting measures by giving impressions for the single values.