The box-and-whisker plot below represents some data set. What percentage of the data values are greater than 35?
It is not possible to determine the percentage of the data values that are greater than 35 based solely on the box-and-whisker plot. We would need to know the exact values of the minimum, maximum, median, and quartiles to make this determination.
55 x 8 + 60 + 65 x 6 + 70 + 75 x 6 + 80 x 5 + 85 x 6 + 90 x 4
To simplify the expression, we can multiply each number by its coefficient and then add the products:
55 x 8 + 60 + 65 x 6 + 70 + 75 x 6 + 80 x 5 + 85 x 6 + 90 x 4
= 440 + 60 + 390 + 70 + 450 + 400 + 510 + 360
= 3090
Therefore, the simplified expression is 3090.
To determine the percentage of data values that are greater than 35 using a box-and-whisker plot, you need to follow these steps:
1. Identify the location of the box-and-whisker plot where 35 falls on the number line. Look for the "whisker" that extends to the right.
2. Note the value at the end of this whisker, which represents the maximum value in the data set.
3. Compare this maximum value to 35. If the maximum value is greater than 35, it means that there are data values greater than 35 in the set.
4. Calculate the percentage of data values that are greater than 35 by dividing the number of data values greater than 35 by the total number of data values in the set and multiplying by 100.
Unfortunately, without the specific box-and-whisker plot or data set, I cannot provide you with the exact percentage. However, by following these steps, you should be able to determine the percentage of data values that are greater than 35 using the given box-and-whisker plot.