Chapter 12, Problem 3CT

To determine

To find: whether the histogram is uniform, symmetric or skewed.

Answer to Problem 3CT

The histogram is left skewed.

Explanation of Solution

Given:

  

Concept used:

Uniform histogram:

Data that follows a uniform pattern has approximately the same number of values in each group or class $\left(\text{represented by a bar}\right)$ .

Bell shaped/symmetric histogram:

Histogram that are bell shaped appear to have one clear center that much of the data clusters around. At it get away from the center, there will have fewer and fewer values.

Left skewed and right skewed:

If the larger value cells occur at right with few lower value cells in left side the skewed is called left skewed.

If the larger value cells occur at left side with few lower value cells in right side the skewed is called right skewed.

Calculation:

The given histogram is not uniform since, the pattern or cells varies as going left to right there is no such point where the graph or the cell started to repeat.

The histogram has one peak which is not at center so the histogram is not symmetric.

The histogram is skewed at left side.

Hence, the histogram is left skewed.