Math  /  Data & Statistics

QuestionThe weights (in pounds) of nine players from a college football team are recorded as follows. 208211305295267288303253261\begin{array}{lllllllll} 208 & 211 & 305 & 295 & 267 & 288 & 303 & 253 & 261 \end{array} Send data to Excel
Find the range, variance, and standard deviation. Round the variance to one decimal place and the standard deviation to two decimal places, if necessary. Round intermediate calculations to one decimal place.
Part: 0/30 / 3
Part 1 of 3
The range is \square pounds.

Studdy Solution

STEP 1

1. The weights of the players are given as: 208,211,305,295,267,288,303,253,261 208, 211, 305, 295, 267, 288, 303, 253, 261 .
2. The range is calculated as the difference between the maximum and minimum values in the data set.

STEP 2

1. Identify the maximum and minimum weights.
2. Calculate the range.

STEP 3

List the weights:
208,211,305,295,267,288,303,253,261 208, 211, 305, 295, 267, 288, 303, 253, 261

STEP 4

Identify the maximum weight:
Maximum=305 \text{Maximum} = 305
Identify the minimum weight:
Minimum=208 \text{Minimum} = 208

STEP 5

Calculate the range:
Range=MaximumMinimum=305208=97 \text{Range} = \text{Maximum} - \text{Minimum} = 305 - 208 = 97
The range is:
97 pounds \boxed{97} \text{ pounds}

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