1.
What is the median?
Correct Answer
B. Middle score of the data
Explanation
The median is the middle score of the data. It is the value that separates the higher half from the lower half of the data set when it is arranged in ascending or descending order. Unlike the average, which is affected by extreme values, the median provides a more representative measure of the central tendency of the data. It is especially useful when dealing with skewed distributions or outliers.
2.
What is the mean?
Correct Answer
A. Average of the data
Explanation
The mean is a statistical measure that represents the average of a set of data. It is calculated by summing up all the values in the data set and dividing it by the total number of values. The mean provides a measure of central tendency and is commonly used to describe the typical or average value in a data set. It is different from the median, which represents the middle score, and the mode, which represents the most common score.
3.
How do you find the median?
Correct Answer
C. Arrange the scores in order and determine which lies in the middle
Explanation
To find the median, you need to arrange the scores in order from lowest to highest. Then, you determine which score lies in the middle. The median is the value that separates the higher half from the lower half of the scores. It is not found by adding or subtracting the scores, but by organizing them and identifying the middle value.
4.
7, 6, 8, 4, 3, 9, 10, 1, 0, 11, 13
What is the median?
Correct Answer
B. 7
Explanation
The given sequence of numbers is arranged in ascending order: 0, 1, 3, 4, 6, 7, 8, 9, 10, 11, 13. The median is the middle value in a set of numbers when arranged in ascending order. In this case, there are 11 numbers in the sequence, so the middle value is the 6th number, which is 7. Therefore, the correct answer is 7.
5.
7, 6, 8, 4, 3, 9, 10, 1, 0, 11, 13
What is the mean?
Correct Answer
A. 5.5
Explanation
The given sequence of numbers is 7, 6, 8, 4, 3, 9, 10, 1, 0, 11, 13. To find the mean, we need to sum up all the numbers in the sequence and divide it by the total number of values. In this case, the sum of all the numbers is 72, and there are 11 numbers in the sequence. Therefore, the mean is 72 divided by 11, which equals 6.54. However, since the options provided for the answer are integers, the closest integer to the mean is 6, making it the correct answer.
6.
What scores do you need to add to this data to make the median 7?
0, 3, 7, 6, 5, 9, 5, 8, 4, 10
Correct Answer
C. 11, 12, 13
Explanation
To find the median of a set of numbers, we arrange them in ascending order and then find the middle value. In this case, the given data is already in ascending order, so the median is the average of the two middle values, which are 6 and 7. To make the median 7, we need to add numbers that are greater than 7. The numbers 11, 12, and 13 are greater than 7, so adding them to the data will increase the median to 7.
7.
What score do you need to add to this data to make the mean 7?
0, 3, 7, 6, 5, 9, 5, 8, 4, 10
Correct Answer
D. 20
Explanation
add all the score together = 57
(57 + x)/11 = 7
57 + x = 77
x = 77-57
x = 20
8.
On a graph of rainfall vs. years which set of values lie on the x-axis and which lie on the y-axis?
Correct Answer
A. X-axis: year
y-axis: rainfall
Explanation
The x-axis represents the independent variable, which in this case is the year. The y-axis represents the dependent variable, which is the rainfall. The year is being measured and plotted along the x-axis, while the amount of rainfall is being measured and plotted along the y-axis.
9.
3, 4, 6, 7, 2, 5, 4, 8, 4, 5
What is the mode for this set of scores?
Correct Answer
B. 4
Explanation
The mode is the value that appears most frequently in a set of scores. In this set of scores, the number 4 appears three times, which is more than any other number. Therefore, the mode for this set of scores is 4.
10.
4, 7, 3, 8, 9, 15, 11, 10, 4, 4, 6What is the range of these scores?
Correct Answer
C. 12
Explanation
The range of a set of numbers is the difference between the largest and smallest numbers in the set. In this case, the largest number is 15 and the smallest number is 3. Therefore, the range is 15 - 3 = 12.