Question

Histograms for grouped dataA sample of 23 participants took part in a hearing experiment. Among other things, the absolute hearing threshold (in decibels) was measured for eachparticipant. The 23 measurements were as follows:25, 22, 18, 35, 37, 34, 31, 27, 24, 21, 18, 39, 36, 17, 17, 17, 32, 32, 35, 35, 32, 32, 29Draw the histogram for these data using an initial class boundary of 16.5, an ending class boundary of 41.5, and 5 classes of equal width. Note that you can add or remove classes from the figure. Label each class with its endpoints.

Answer 1

The absolute hearing threshold for the 23 participants is given below:

• 25,22,18,35,37,34,31,27,24,21,18,39

,

• 36,17,17,17,32,32,35,35,32,32,29

To distribute the data into 5 classes with an initial class boundary of 16.5, and ending class boundary of 41.5, we calculate the class width below.

$\text{Class Width}=\frac{41.5-16.5}{5}=\frac{25}{5}=5$

Thus, the data is distributed in the table below:

Next, we plot the histogram: