Question

1. 40, 90, 36, 68, 90, 11, 88, 54

mean : ____ median : ____
mode : ____ range : ____

Explanation:

Step1: Calculate the Mean

Sum the numbers: \(40 + 90 + 36 + 68 + 90 + 11 + 88 + 54 = 477\)
Divide by the count (8): \(\frac{477}{8} = 59.625\)

Step2: Find the Median

Sort the numbers: \(11, 36, 40, 54, 68, 88, 90, 90\)
Average the middle two (\(54\) and \(68\)): \(\frac{54 + 68}{2} = 61\)

Step3: Determine the Mode

The number that appears most: \(90\) (appears twice)

Step4: Calculate the Range

Subtract min from max: \(90 - 11 = 79\)

Answer:

Mean: \(59.625\)
Median: \(61\)
Mode: \(90\)
Range: \(79\)