AVG of INT

What is the average of the integers from 9 throuht 52 inclusive?

Correct answer:

x =  30.5

Step-by-step explanation:

$$\begin{gathered} n=52-9+1=44 \\ {s}_n={\displaystyle \frac{n}{2}}(a_1+a_n)=22\cdot (9+52)=1342 \\ x={\displaystyle \frac{s_n}{n}}={\displaystyle \frac{1342}{44}}={\displaystyle \frac{9+52}{2}}=30.5 \end{gathered}$$

Try another example

Related math problems and questions:

• Diofant 2
  Is equation 70x +52y = 34 solvable on the set of integers Z?
• Water
  Mix 68 l of water with a temperature of 87 °C, 17 l warm of 42 °C, and 55 l water of 50 °C. What is the temperature of the mixed water immediately after mixing?
• Reciprocal
  What is the reciprocal of the sum of the reciprocals of 7 and 6?
• Certificate
  There is 31 students in a class. From mathematics was'nt worse mark than 2. Average mark in mathematics was 2. How many students have mark 1 and how many mark 2?
• Numbers
  Determine the number of all positive integers less than 4183444 if each is divisible by 29, 7, 17. What is its sum?
• Progression
  -12, 60, -300,1500 need next 2 numbers of pattern
• Statistics
  The sum of all deviations from the arithmetic mean of the numerical sequence 4, 6, 51, 77, 90, 93, 95, 109, 113, 117 is:
• Wheel
  Diameter of motocycle wheel is 52 cm. How many times rotates wheel on roand long 2 km?
• Mean
  A student's food the mean of 50 items as 38.6. When checking the work, he found that he had taken one item as 50 to read as 40 in these circumstances correctly. What should be the correct mean?
• Real estate
  The residential house has three entrances numbered by odd numbers arithmetic progression. The sum of the two numbers on the corner entrances is 50. Calculate the highest of these three numbers.
• Average mark
  Calculate average mark in English, if a student got a couple of 3's, 20% less 2 than 3, and 50% more 1's than the 2's.
• Average
  The average of 5 numbers is 108. What is its sum?
• Language test
  Your language test scores are 58, 68, 89 and 95. What is the lowest you can earn on the next test and still achieve an average of at least 79?
• Three ints
  The sum of three consecutive integers is 2016. What numbers are they?
• Percentages
  52 is what percent of 93?
• Frequency distribution
  The following frequency distribution gives the time spent for fill-up at a gas station.  Assume that each value in a class is equal to the midpoint of the class.  Estimate the mean fill-up time for the given data.  Round your answer to the nearest hundred
• Average
  If the average(arithmetic mean) of three numbers x,y,z is 50. What is the average of there numbers (3x +10), (3y +10), (3z+10) ?