Mean - practice problems - page 9 of 35
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: 690
- There 26
There are 200 sweets in a jar, measured to the nearest 10. They weigh 600 grams to the nearest 10 grams. What is the least possible mass of each sweet in grams? 2 d. p - Mountain climbing
Ken and his brother decided to go on mountain climbing 8 miles from their house to Mt. Daraitan at a rate of x mph (miles per hour). For the return trip, it was 2 mph faster. It took them 6 hours for the entire round trip. What is the x? - 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 - Coordinates 80452
A (a1, 4) B(7, -2) segment AB has a center where both coordinates are equal
- 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? - 20 students
Twenty students took a test. Ten students got an average (arithmetic mean) score of 80. Five of them got an average score of 75. And the remaining 5 students got an average score of 55. What is the average score of the 20 students?
- 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? - Jacob 2
Jacob took five summative tests in Mathematics during the first quarter, each with a maximum score of 100. Jacob's five integer test scores have a mean of 85, a median of 87, and a mode of 92. What is Jacob's lowest possible score from one of his five tes - The temperature 36
The temperature over the course of a day was being monitored. In the morning, the temperature was −3°F. In the middle of the day, the temperature rose to 12°F. After dark, the temperature dropped again to −6°F. What was the average temperature for the day - 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? - Numbers 78704
Which number lies exactly in the middle between the numbers 258 and 326 on the number line?
- Normally distributed
Suppose the height of male youngsters is normally distributed with a mean of 60 inches and a standard deviation of 10. what percentage of the boy's height would we expect to be between 44 and 75, less than 49, and 76 and more? - Two painters
Two painters are assigned to finish painting the houses in a housing project. John can finish a house in 4 days, and Kurt painted it in 3 days. How long would it have taken if John and Kurt had worked painting the house together? - Deteriorating 78504
The hiker walked for 3 hours at a 4 km/h speed. Due to the deteriorating weather, he increased his pace and walked at 7 km/h for the next hour and a half. At the end of his trip, it started to rain, so he started running at a speed of 20 km/h for 30 minut - Arithmetic mean - parabola
Find the value of k so that k² + 2k – 3 is the arithmetic mean between k² + 4k + 5 and k² – 6k + 10. - 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?
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