Question

4 multiple choice 1 point which of the statements below is true regarding the range for the following set of numbers? 42, 20, 36, 51, 60, 28 the range is 80 the range is 40 the range is 60 the range is 14 5 multiple choice 1 point tyrone received the following scores on his last five biology lab reports: 88, 76, 93, 85, and 98. which of the following statements is true? the mode score is 98 the median of the set of test scores is 93 the mean and median of the set of scores are the same the mean of the set is less than the median. 6 multiple choice 1 point a teacher tracks her students test scores each week throughout the semester to see how their performance changes over time. which type of graph is best for showing this trend? circle graph pictograph bar graph line graph

Explanation:

Question 4

Step1: Find the maximum and minimum values

The set of numbers is \(42, 20, 36, 51, 60, 28\). The maximum value \(M = 60\), the minimum value \(m=20\).

Step2: Calculate the range

The formula for range \(R = M - m\). Substitute \(M = 60\) and \(m = 20\) into the formula: \(R=60 - 20=40\).

Step1: Calculate the mean

The mean \(\bar{x}=\frac{88 + 76+93+85+98}{5}=\frac{440}{5} = 88\)

Step2: Arrange the data in ascending order

The data in ascending order: \(76,85,88,93,98\). The median (the middle - value) is \(88\)

Step3: Check the mode

Since each value appears only once, there is no mode.

A line graph is used to show the change of a variable over time. A circle graph (pie chart) is used to show the proportion of different parts to a whole. A pictograph uses pictures to represent data. A bar graph is used to compare different categories of data. Since the teacher wants to track the change of test scores over time, a line graph is the most appropriate.

Answer:

The range is 40

Question 5