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Data was collected for 95 randomly selected 10-minute intervals. For each ten-minute interval, the number of people entering the atrium of a large mall were recorded. The data is summarized in the table below. Number of GuestsFrequency 60 – 799 80 – 9925 100 – 11940 120 – 13911 140 – 15910. What is the class width?



Answer :

anuradhadevi1937

To find the class width from the given frequency distribution table, we need to understand that the class width is the difference between the upper class boundary and the lower class boundary of any interval in the table.

Given the frequency distribution table:

| Number of Guests | Frequency |

|---------------------------|-----------------|

| 60 – 79---------------| 9 |

| 80 – 99---------------| 25 |

| 100 – 119--------------| 40 |

| 120 – 139--------------| 11 |

| 140 – 159--------------l 10 |

The class intervals are already given. To find the class width:

1. Identify the class boundaries:

- Lower boundary of the first class: 60

- Upper boundary of the last class: 159

2. Calculate the class width:

[tex]{Class\: width} = {Upper\: boundary} - {Lower\: boundary}[/tex]

[tex]{Class\: width} = 159 - 60[/tex]

[tex]{Class\: width} = 99[/tex]

Therefore, the class width is [tex]\boxed{99}[/tex]. Each class interval spans 99 units in the data collected for the number of people entering the mall atrium during 10-minute intervals.

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