Question

scoobert is examining the time spent studying by college students. he collects data from 15 women with the data in hours below. find the mean for this set, using the ti - 84. round to 3 decimal places if necessary. 8 4 0 6 0 3 8 5 7 0 5 0 0 8 2 provide your answer below: mean = \square

Explanation:

Step1: Sum the data values

First, we add up all the given data points: \(8 + 4 + 0 + 6 + 0 + 3 + 8 + 5 + 7 + 0 + 5 + 0 + 0 + 8 + 2\). Let's calculate that:
\(8+4 = 12\); \(12 + 0 = 12\); \(12+6 = 18\); \(18+0 = 18\); \(18+3 = 21\); \(21+8 = 29\); \(29+5 = 34\); \(34+7 = 41\); \(41+0 = 41\); \(41+5 = 46\); \(46+0 = 46\); \(46+0 = 46\); \(46+8 = 54\); \(54+2 = 56\). So the sum of the data is \(56\).

Step2: Divide by the number of data points

There are \(n = 15\) data points. The formula for the mean \(\bar{x}\) is \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\). So we divide the sum (\(56\)) by the number of data points (\(15\)): \(\bar{x}=\frac{56}{15}\approx3.733\) (rounded to three decimal places).

Answer:

\(3.733\)