The value of the y coordinate of any point on the x axis is always 0.
<u><em>Explanation</em></u>
Suppose, the co ordinate of any point is .
It means, the distance of the point from x-axis is '' and distance from y-axis is '
'.
Now if the point lies on the x-axis, that means the distance of the point from x-axis will be 0. Thus, the value of '' will be 0.
So, the value of the y coordinate of any point on the x axis is always 0.
Susannah's data are illustration of measure of central tendencies
<u>(a) The mean</u>
To calculate the mean, she needs to divide the total number of turkey sandwiches sold, by the number of days.
The total is:
The number of days is:
So, the mean is:
Hence, the mean number of turkey sandwiches sold is 99.4
<u>(b) The median</u>
To calculate the median, she needs to arrange the data in ascending or descending order, then select the middle item.
In ascending order, we have: 73, 85, 88, 88, 99, 129, 134
The middle item is 88
So:
Hence, the median number of turkey sandwiches sold is 88
<u>(c) The mode</u>
This is the data that occurs most.
From the dataset, 88 appears twice (more than others).
So:
Hence, the mode number of turkey sandwiches sold is 88
<u>(d) The range</u>
This is the difference between the highest and least data
From the dataset,
The highest is 134, and the least is 73
So:
Hence, the range of turkey sandwiches sold is 61
The measure that would be most helpful is the median, because it is not affected by outliers.
Read more about measures of central tendencies at: