MathsRange – Function, Solved Examples and FAQs

Range – Function, Solved Examples and FAQs

The Range

Rover Evoque is a compact luxury crossover SUV produced by the British automaker Land Rover. The Evoque is the first Range Rover model to be produced in a five-door configuration.

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    The Range Rover Evoque was designed by Gerry McGovern, who is the Chief Designer at Land Rover. The Evoque was first previewed as the LRX concept car at the 2008 London Motor Show. The production version of the Evoque was unveiled at the 2010 Paris Motor Show.

    The Range Rover Evoque is powered by a 2.0-liter turbocharged inline-four engine that produces 240 horsepower and 250 pound-feet of torque. The Evoque is available with a six-speed manual or nine-speed automatic transmission.

    The Range Rover Evoque is available in three trim levels: SE, HSE, and Autobiography. The SE trim level is the base trim level and features 18-inch alloy wheels, LED headlights, a power tailgate, dual-zone climate control, an eight-inch touchscreen infotainment system, and a nine-speaker audio system.

    The HSE trim level features 20-inch alloy wheels, a panoramic sunroof, leather upholstery, heated front seats, a 12-speaker audio system, and a rearview camera.

    The Autobiography trim level is the top trim level and features 21-inch alloy wheels, adaptive LED headlights,

    Range of a Function

    The range of a function is the set of all real numbers that the function can produce. The range is typically represented as a set of parentheses following the function’s name.

    Domain and Codomain in Range

    Domain is a set of all the input values for a function. The codomain is the set of all the output values for a function. The range is the set of all the output values for a function that are actually achieved.

    Interquartile Range

    The Interquartile Range (IQR) is a measure of variability that is used to describe the spread of a set of data. It is calculated by finding the difference between the 75th percentile and the 25th percentile, and then dividing that number by 3.

    The IQR can be used to identify outliers in a set of data. An outlier is a data point that is significantly different from the other data points in the set. The IQR can help you determine which data points are outliers and whether or not they need to be removed from the data set.

    Solved Examples

    Example:​

    Think that you happen to view your math’s teacher’s notebook, and you snuck the peek so far that you saw the students’ grade percentages in class are {91, 84, 37, 53, 52, 88, 46, 62}. Now, you need to find out the range of this data set or we can say the range of the students’ grades?

    Solution:

    First, we need to determine the highest as well as the lowest value of the data set i.e

    The highest data point = 91

    The lowest data point= 37

    Next, subtract the lowest value from the highest value determined:

    91 – 37 = 54

    Thus, the range of this specific data set is 54 percentage points.

    Example:

    Mr Alex drove through 8 southern states on his summer vacation. Fuel prices varied from state to state he travelled. Calculate the range of fuel prices?

    Rs. 2.79, Rs. 0.61, Rs. 2.96, Rs. 3.09, Rs. 1.64, Rs. 2.25, Rs. 3.73, Rs. 1.67

    Solution:

    Arranging the data from least to greatest, we obtain,

    0.61, 1.64, 1.67, 2.25, 2.96, 2.79, 3.09, 3.73

    highest – lowest = 3.73 – 0.61 = $0.48

    Answer: The range of fuel prices is Rs. 3.12

    Fun Facts

    While finding the range, curly bracketsare commonly used to enclose a set of data, so you are aware everything inside the curly brackets belongs together.

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