Chapter 4, Problem 19E

(a)

To determine

To find: that the mean closer to $2.40, $2.60$ or $2.80.

Explanation of Solution

Given:

  

By seeing the histogram, it is observed that, it is approximately symmetric and unimodal. Mean and standard deviation would be the best measure of the centre because of symmetric histogram. Mean is looking at the balancing point of the graph and this graph is close to 2.6 in comparison to 2.4 or 2.8.

(b)

To determine

To find: that the standard deviation closer to $0.15, $0.50 or $1.00.

Explanation of Solution

Given:

  

Both $0.5 and $1.00 extend the standard deviation outside of the range of the data. In generally, the number of data points within one standard deviation of the mean is about 68% of all of the data points.