Question

1. the circle graph gives the distribution of the colors of markers in a large box. if there are about 3,000 markers in the box, which of the following is closest to the difference between the number of red and green markers?

a. 100
b. 200
c. 300
d. 600

1. the following are scores for 6 students in ms. kolabs math class.

113 123 241 224 266 321
what is the range of the scores?
a. 119
b. 208
c. 274
d. 124

Explanation:

Question 19

Step1: Calculate the number of red markers

The percentage of red markers is \(40\%\). The total number of markers is \(3000\). So the number of red markers is \(3000\times40\%=3000\times0.4 = 1200\).

Step2: Calculate the number of green markers

The percentage of green markers is \(20\%\). The total number of markers is \(3000\). So the number of green markers is \(3000\times20\%=3000\times0.2=600\).

Step3: Calculate the difference

The difference between the number of red and green markers is \(1200 - 600=600\).

Step1: Recall the formula for range

The range of a data - set is given by \(R=\text{Max}-\text{Min}\), where \(\text{Max}\) is the maximum value and \(\text{Min}\) is the minimum value in the data - set.

Step2: Identify the maximum and minimum values

In the data - set \(\{113,123,241,224,266,321\}\), the minimum value \(\text{Min}=113\) and the maximum value \(\text{Max}=321\).

Step3: Calculate the range

Using the formula \(R = 321-113=208\).

Answer:

D. 600

Question 20