Suppose 288 electricians took a certification test that is worth 140 points. The five-number summary for the scores is shown here.


min. value = 68
Q1 = 110
median = 125
Q3 = 130
max. value = 138


About how many electricians had a score of 110 or less?

Respuesta :

Quartile Q 1 = 110. We have to find how many of electricians have score 110 or less.
For Q 1 : 25 % of the scores are below this value. The area under the bell-shaped curve of the normal distribution is 0.25. And since we have 288 electricians that took a certification test:
0.25 * 288 = 72.
Answer: 72 electricians had a score of 110 and less.

About 72 electricians had a score of 110 or less

How to determine the number of electricians?

The given parameters are:

  • min. value = 68
  • Q1 = 110
  • median = 125
  • Q3 = 130
  • max. value = 138
  • Sample size, n = 288

The first quartile (i.e 1/4) of the distribution is 110.

This means that:

The number of electricians that had a score of 110 or less is:

Electricians = 1/4 * 288

Evaluate

Electricians = 72

Hence, about 72 electricians had a score of 110 or less

Read more about five-number summary at:

https://brainly.com/question/17110151

#SPJ5