Statistics - practice problems - page 8 of 45
Number of problems found: 892
- Entrance exam
In a college entrance exam, the participants are rated as excellent, very good, good, and fair. Consider that the scores in the exam are normally distributed with a mean of 78 and a standard deviation of 7.5. The participants receiving the top 5% of the s - IQR and range
The times spent in minutes by 20 people waiting in a queue at the bank for a teller were: 3.4, 2.1, 3.8, 2.2, 4.5, 1.4, 0,0, 1.6, 4.8, 1.5, 1.9, 0, 3.6, 5.2, 2.7, 3.0, 0.8, 3.8, 5.2, Find the range and interquartile range of the waiting times. - A batsman
A batsman scored the following number of runs in seven innings 35,30,45,65,39,20,40. Find the mean, median, and range. - Z score transformation Suppose a distribution has a mean µ = 8 and standard deviation σ = 4. What is the value of x if it is z = +1.50?
- Elisa
Elisa got the following grades in five subjects: 87, 88, 89, 88, and 90. What is her average in the five subjects? - A test 3
A test of five light bulbs showed that they burned for the following lengths of time (in days): 17 2/3, 19 1/4, 20 1/2, 21, and 18 3/4. For how many days, on average, did the light bulbs burn? - Statistical deviation
Our school has 59 pupils in year 5, 52 in year 6, 86 in year 7, 70 in year 8, and 71 pupils in year 9. a) Determine what the statistical population is. b) Determine what the statistical unit is. c) Determine what the statistical variable is. d) Record the - Daily balance
For the month of April, each checking account has a balance of $555 for 24 days, $2436 for one day, and $243 for five days. What is the daily balance of the account for April? - The midpoint 3 The ranges are 10-20, 20-30, 30-40, and 40-50. If the frequency is 7 15 26 12, what is the midpoint?
- Peter 11
Peter is answering to ten word math problems. It takes him 1 ⅓ hour to answer five and 1 ½ hours to answer 5. On average, how many minutes does it take him to answer a problem? - Underweight babies
A sample of underweight babies was fed a special diet, and the following weight gains (lbs) were observed at the end of three months: 6.7, 2.7, 2.5, 3.6, 3.4, 4.1, 4.8, 5.9, and 8.3. Find the variance. (Round off to the nearest hundredths) - The salary 2
The salary for a group of executives was listed as follows: 18 at P50,000:10 at P60,000; 8 at P75,000:2 at P90,000; and two at P10,000. The average salary is: - An insurance An insurance company receives, on average, two claims per week from a particular factory. Assuming that a Poisson distribution can model the number of claims, find the probability it receives. three claims in a given week, more than four claims in a given
- 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.
- Consider 5
Consider the data below that shows the number of COVID cases in the fifteen barangays in Naga City: { 4, 7, 0, 3, 2, 1, 2, 1, 5, 4, 1, 3, 2, 3, 1}. What is the meaning of the data? - 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 (on 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 - 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 of kg per dollar. - A biologist
A biologist knows that the average length of a leaf of a certain plant is 4 inches. The standard deviation of the population is 0.6 inches. A sample of 20 leaves of that type of plant given a new type of plant food had an average length of 4.2 inches. At
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