Question

A coach listed the frequency of people who bought football tickets, and the data is displayed in the histogram.

A histogram titled Football Ticket Sales. The x-axis is labeled Number of Tickets and has intervals for 1 to 3, 4 to 6, 7 to 9, 10 to 12, and 13 to 15. The y-axis is labeled Frequency and begins at 0, with tick marks every 2 units up to 20. There is a shaded bar for 1 to 3 that stops at 12, for 4 to 6 that stops at 16, for 7 to 9 that stops at 10, and for 13 to 15 that stops at 1. There is no shaded bar for 10 to 12.

Which of the following best describes the spread and distribution of the data?

The data has an outlier in the 13 to 15 range and shows that a large group purchased tickets to the game.
The data is skewed with outliers and shows that not many tickets were sold.
The data is not skewed and does not have outliers, which shows that not many tickets were sold.
The data is bimodal with peaks in the data and shows that random amounts of tickets were sold for the game.

Answer 1

(C)

Step-by-step explanation:

Based on the provided information, the histogram displays the frequency of people who bought football tickets. The x-axis represents the number of tickets, while the y-axis represents the frequency.

Analyzing the histogram, we can see that there are shaded bars for the intervals 1 to 3, 4 to 6, 7 to 9, and 13 to 15 tickets. However, there is no shaded bar for the interval 10 to 12 tickets.

From this information, we can conclude that the data is not skewed as there is no significant asymmetry in the distribution. Additionally, there are no outliers in the data, as all the shaded bars fall within the specified intervals.

Considering the frequency represented by the shaded bars, we observe that the highest frequency is for the interval 4 to 6 tickets, followed by 7 to 9 tickets. The lowest frequency is for the interval 13 to 15 tickets, with only 1 ticket sold.

Based on this analysis, the most appropriate description of the spread and distribution of the data is that the data is not skewed and does not have outliers, which indicates that not many tickets were sold. Therefore, the option that best describes the spread and distribution of the data is (C) The data is not skewed and does not have outliers, which shows that not many tickets were sold.

Answer 2

Based on the histogram description, the data is not skewed and does not have outliers in most of the ranges. However, there is an outlier in the 13 to 15 range with only 1 ticket sold. The distribution is mostly concentrated in the lower ranges, with the majority of sales occurring in the 4 to 6 range. Therefore, the best description of the spread and distribution of the data is that it is somewhat skewed towards the lower ranges with an outlier in the 13 to 15 range, and it shows that a moderate number of tickets were sold for the game. So, none of the given options accurately describe the spread and distribution of the data.