If glenda rolled two six-sided number cubes nine times and computed the sum of the numbers rolled each time. If the mean sum of Glenda's rolls was 6 what was the total of the nine sums Glenda rolled?
Suppose Glenda's rolls were 12,7,3,10,9, 2, 11, 7 and 8. What is the median of Glenda rolls?
What is the mean of Glenda's rolls?
What is the mode? Which would be the best indicator of a typical roll Glenda made, the mean, the median, or the mode?
Mean = total/number of times
So
total=mean*number of times
=6*9=54
Arrange
12,7,3,10,9, 2, 11, 7 and 8.
in ascending order
2 3 7 7 (8) 9 10 11 12
The median is the number which has the same number of numbers higher as lower. In this case, 8 is the middle number, or the median.
In this case, the distribution is quite even, there is not much difference between the three choices. I prefer the mean, since people tend to calculate the average.
The median is 83
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To find the total of the nine sums Glenda rolled, we can simply add up all the numbers in the list. For example, in this case, the nine sums are 12, 7, 3, 10, 9, 2, 11, 7, and 8. To get the total sum, we add these numbers together:
12 + 7 + 3 + 10 + 9 + 2 + 11 + 7 + 8 = 69
Therefore, the total of the nine sums Glenda rolled is 69.
To find the median of Glenda's rolls, we need to arrange the numbers in ascending order and find the middle value. In this case, the numbers are 12, 7, 3, 10, 9, 2, 11, 7, and 8. Arranging them in ascending order:
2, 3, 7, 7, 8, 9, 10, 11, 12
There are nine numbers, so the middle value is the fifth number, which is 8. Therefore, the median of Glenda's rolls is 8.
To find the mean (average) of Glenda's rolls, we add up all the numbers and divide by the total count of numbers. In this case, the sum of the numbers is 12 + 7 + 3 + 10 + 9 + 2 + 11 + 7 + 8 = 69. There are nine numbers, so the mean is 69 divided by 9, which is 7.67 (rounded to two decimal places). Therefore, the mean of Glenda's rolls is 7.67.
The mode is the value that appears most frequently in the list. In this case, the number 7 appears twice, which is more frequently than any other number. Therefore, the mode of Glenda's rolls is 7.
To determine which measure (mean, median, or mode) is the best indicator of a typical roll Glenda made, it depends on the characteristics of the data set. In this case, Glenda's rolls are not normally distributed, and we have a relatively small sample size. Since the mean can be easily affected by outliers, it may not be the best indicator. The median, which is less affected by extreme values, could be a more reliable measure of a typical roll. However, since Glenda's rolls have a repeated value (mode of 7), it may also be a good indicator. So, in this particular case, both the median and mode could be considered good indicators of a typical roll Glenda made.