Mean - practice problems
the arithmetic mean (simply the mean or average) is the sum of a collection of numbers divided by the count of numbers in the collection. The arithmetic mean is the most commonly used and readily understood measure of central tendency in a data set. It is a statistical characteristic of the center of a given data set.Arithmetic mean is a quantity very sensitive to extreme values, so the median and mode are also used in practice. Mode is the most common value. The median halves the ordered file.
Number of problems found: 459
- Six numbers
The average of 6 numbers is 3.95. the average of two of them is 3.4 while the average of other two is 3.85 . What is the average of remaining two numbers? - Weighted-average
Calculate the weighted-average cost of the following inventory purchases: Date Quantity; Purchased ; Cost per Unit May 4; 33; $12.25 May 11; 41; $13.87 May 29; 37; $11.99 - Dataset 3
Given dataset: 31, 28, 31,30,31,30,31,31,30,31,30,31 1. Construct a frequency table. 2. Construct a histogram. 3. Compute the mean. 4. Compute the median. 5. Find the mode. 6. Compute the midrange. 7. Compute the standard deviation. - Quartile statistics Use the following data which was obtained from a study of weights of adult men to answer problems: Mean ; 192 lb ; First quartile ; 178lb Median; 185lb ; Third quartile ; 232 lb Mode ; 180 lb ; 86th percentile ; 239 lb Standard Deviation ; 23lb; ; a) What
- The scores The scores of 10 learners in a test arranged in ascending order is 12, 13, 13, a, (a + 3), (52 - 2a), (2a - 8), 23, 23 and 24. If the median mark is 20, find (a) value of a. (b) mean
- The average 6
The average temperature dropped 16°C over a period of 5 weeks. What is the average change in temperature per week? - Carrots and potatoes
Juri is doing his weekly grocery shop and buying carrots and potatoes. He calculates that the average weight of a carrot is 60 g and the average weight of a potato is 125 g. Furthermore, he calculates that the average weight of the carrots and potatoes he - Z-score test
The weights of the fish in a certain lake are normally distributed with a mean of 11 lb and a standard deviation of 6. If 4 fish are randomly selected, what is the probability that the mean weight will be between 8.6 and 14.6 lb? Your answer should be a d - Summaries A specialist teacher observes time taken by each of the students with learning disabilities to complete a psychological task. She summaries the times using the following: Time Taken(mins) ; 1-5; 6-10; 11-12; 16-20 No. of Student ; 2 ; 4 ; 12; 4 Using the
- Consider 5
Consider the data below that shows the number of COVID cases of the fifteen barangays in Naga City: { 4, 7, 0, 3, 2, 1, 2, 1, 5, 4, 1, 3, 2, 3, 1}. What is the mean of the data? - The following
The following data represents the number of cases of coffee or filters sold by four sales reps in a recent sales competition. Sales Person; Gourmet; Single Cup; Filters; Total Connor; 142; 325; 30; 497 Paige ; 42; 125; 40; 207 Bryce ; 9; 100; - Decile
Find the 5.5th decile of the data: 62, 60, 37, 57, 55, 59, 57, 50, 49, 61 - A sample A sample of 10 randomly selected students revealed the following grades in Business Statistics first test (in a marking scale of 0 to 100): 79, 63, 60, 45, 55, 58, 59, 62, 40, 68. Examine the data using groups and presenting: a) the Histogram of the absol
- Suppose 6
Suppose the life span of a revolutionary light bulb is normally distributed with a mean life span of 70 thousand hours and a standard deviation of 3 thousand hours. If a light bulb is chosen at random: a) what is the probability the life span will be with - A person
A person buys 10 kg of commodity A at a rate of 2 kg per dollar, 20 kg of commodity b at a rate of 5 kilograms per dollar, and 30 kg of commodity C at a rate of 10 kg per dollar. Find the average price kg per dollar. - Divide line segment
Find the point P on line segment AB, such that |AP| = r |AB| . Coordinates of endpoints: A = (−2, 0, 1), B = (10, 8, 5), ratio r = 1/4. - Z score transformation
The annual salary of an entry level statistics major (in thousands of dollars) is normally distributed with mean of 75 and standard deviation of 12. X ∼ N ( μ = 75, σ = 12 ). What is the minimum salary a statistics major should aim for in order to earn am - The probability The probability that a life bulb will have a life time of more than 682 hours is 0.9788. The probability that a bulb will have a life time of more than 703 hours is 0.0051. Find the probability that a bulb will last for more than 648 hours.
- Two sigma
Khail took his math test and scored an 88. If the class average was 78 with a standard deviation of 5, what percent of students earned a grade that was HIGHER THAN Khail’s grade? - Estimate the mode A medium-sized asset management firm has 56 fund managers. Each of these managers have their own portfolio. The percentage returns from the managers' portfolios are shown in the table below: Return percentage; Number of managers 0-10; 8 10-20; 18 20-30;
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