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The following data has two class intervals with the same frequency. These intervals contain the highest values in the data. We will assume that the data has two possible modes. Compute the two modes of this grouped data.

Distance Traveled by 40 Cyclist who joined the 2010 Reyes' Cup.
__________________________________
Distance Traveled Frequency
(In Kilometer)
27-29
24-26
21-23
18-20
15-17
12-14
9-11

Frequency (f)
3
9
6
4
9
4
5
n=
__________________________________

NOTE: Show your solution below​

Sagot :

HELPERDmitriidn

Answer:

Mode 1: 24-26 kilometers

Mode 2: 15-17 kilometers

Step-by-Step Explanation:

To find the modes of the grouped data (distance traveled by cyclists), we need to identify the class intervals with the highest frequencies, as these represent the modes.

Given data:

| Distance Traveled (km) | Frequency (f) |

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

| 27-29 | 3 |

| 24-26 | 9 |

| 21-23 | 6 |

| 18-20 | 4 |

| 15-17 | 9 |

| 12-14 | 4 |

| 9-11 | 5 |

First, identify the class intervals with the highest frequencies:

- The class interval 24-26 and 15-17 both have a frequency of 9, which are the highest frequencies in the data.

Therefore, the modes of the grouped data are:

- Mode 1: 24-26 kilometers

- Mode 2: 15-17 kilometers

These class intervals represent the values with the highest frequencies in the dataset, indicating that these are the two possible modes of the data.

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