Five consecutive odd numbers have a mean of 61. What is the difference between the highest and lowest values?
Show answer Hide answer
Answer: C. 8
Explanation
The mean of any set of consecutive odd numbers is always equal to its exact middle value. Given a mean of sixty one, the five consecutive odd numbers are fifty seven, fifty nine, sixty one, sixty three, and sixty five. Subtracting the lowest value from the highest value yields a difference of eight. Consecutive odd numbers form an arithmetic progression with a constant common difference of two. The median and mean coincide perfectly for any symmetric sequence of numbers like consecutive integers. Finding the range of a dataset requires identifying its maximum and minimum numerical boundaries.
Statistical analysis often examines data ranges and central tendencies to understand data dispersion. Number puzzles rely on arithmetic properties to deduce missing sequence terms from summary statistics. Data science applications use descriptive statistics like means to summarize large numerical datasets. Option A represents the common difference between consecutive odd numbers rather than the total range. Option B is an arbitrary value that does not correspond to the range of the sequence. Option D is incorrect because the specific numbers and their range can be definitively determined.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
Related questions
Q1. What is the area of a triangle with a 4m base and a 5m height?
Show answer Hide answer
Answer: B. 10 sq m
The formula for a triangle's area requires multiplying one half by the base and height. Multiplying four meters by five meters and dividing by two gives the correct numerical product. The calculated area equals exactly t...
Q2. The cost price of 10 pens equals the selling price of 12 pens. Calculate the gain or loss percentage?
Show answer Hide answer
Answer: C. 16 2/3% loss
Equating the cost of 10 pens to the selling price of 12 pens establishes a price ratio. The selling price to cost price ratio evaluates to 5 over 6. A cost price of six units and selling price of five units represents a...
Q3. An organization of 20 employees has an average monthly salary of Rs. 1500, which rises by Rs. 100 when the manager's salary is included. What is the manager's salary?
Show answer Hide answer
Answer: C. Rs. 3600
Multiplying twenty employees by their average monthly salary gives thirty thousand rupees total payroll. Including the manager makes twenty one people with an increased average yielding thirty three thousand six hundred....
Q4. The cost price of 15 books equals the selling price of 18 books. Find the gain or loss percentage?
Show answer Hide answer
Answer: A. 16 2/3% loss
Equating the financial revenue of fifteen items to eighteen items establishes a clear price ratio. The selling price to cost price ratio indicates a net financial loss on each transaction. Calculating the percentage diff...
Q5. A workshop's overall average salary is Rs. 8000. With 7 technicians averaging Rs. 12000 and the rest averaging Rs. 6000, what is the total worker count__________________?
Show answer Hide answer
Answer: B. 21
Total salary expenditure equals the overall average salary multiplied by total workers. Technician salary sum is added to the remaining worker salary sum to equal total salary. Solving the resulting linear equation for t...
Q6. A, B, and C average 45 kg. If A and B average 40 kg and B and C average 43 kg, what is B's weight___________?
Show answer Hide answer
Answer: D. 31 kg
Multiplying three people by their average weight gives the total combined sum of one hundred thirty five kilograms. Subtracting the combined weight of persons A and B leaves the weight of person C. Using the average weig...