To determine the number of different pairs that can be chosen from a group of five boys and two girls, we need to use the concept of combinations.
Since we are selecting one boy and one girl, we can choose one person from the group of five boys (5 options) and one person from the group of two girls (2 options).
To calculate the total number of different pairs, we multiply the number of options for each group:
Number of different pairs = Number of options for boys * Number of options for girls = 5 * 2 = 10
Therefore, there are 10 different pairs that can be chosen from the group of five boys and two girls to attend the conference.
To obtain a statistically unbiased sample of the college's students, the most appropriate procedure would be to survey a random sample of students from a list of the entire student body.
To find the mean (average) of a sample, you need to sum up all the values in the sample and then divide the sum by the number of values.
In the given sample, the sum of the values is:
6 + 4 + 28 + 21 + 28 + 28 + 26 + 28 + 14 + 9 + 28 = 220
There are 11 values in the sample, so to find the mean, divide the sum by the number of values:
220 / 11 = 20
Therefore, the mean of the sample is 20.
The statement "The mean is less than the median" is true about the distribution of the scores.
In this scenario, half of the students scored 80, which indicates that the majority of the scores are clustered around 80. Most of the remaining students scored 72, suggesting a slight skew towards the lower end. Additionally, a few students scored 24, which are significantly lower than the rest of the scores.
To select a statistically unbiased sample for estimating the average number of school-age children per house in the city, the most appropriate procedure would be to randomly select geographic regions of the city and then survey a random sample of people within those regions.
In the given sample, the mode is the value that appears most frequently. In this case, the number 29 appears 4 times, which is more frequently than any other number in the sample. Therefore, the mode of the sample is 29.
