Question

4 multiple choice 1 point
diego recorded these times in minutes he took to finish a puzzle over five days: 45, 50, 55, 60, 50. which of the following statements is true?
the mode of the times is 55
the mean time is 55 minutes
the median of the times is 50
the mean is less than the mode
5 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
6 multiple choice 1 point
a scientist measures the temperature at noon every day for a month and wants to show how it increased and decreased over time. what is the best type of graph to use?
pictograph
line graph
bar graph
circle graph

Explanation:

Question 4

Step1: Calculate mode

Mode is the most frequent number. In \(45,50,55,60,50\), \(50\) appears twice. So mode is \(50\), not \(55\).

Step2: Calculate mean

Mean \(\bar{x}=\frac{45 + 50+55+60+50}{5}=\frac{260}{5} = 52\) minutes, not \(55\) minutes.

Step3: Calculate median

Arrange data: \(45,50,50,55,60\). Median is the middle number. So median is \(50\).

Step4: Compare mean and mode

Mean is \(52\), mode is \(50\). Mean (\(52\)) > mode (\(50\))

Step1: Find maximum and minimum

Maximum value \(M = 60\), minimum value \(m=20\)

Step2: Calculate range

Range \(R = M - m=60 - 20=40\)

A line graph is ideal for showing changes over time. A pictograph is for representing data with pictures, a bar graph for comparing discrete categories, and a circle graph for showing parts of a whole. Since the scientist wants to show temperature changes over time (a continuous variable), a line graph is best.

Answer:

The median of the times is 50

Question 5