Question

1 multiple choice 1 point kelly has taken 5 quizzes this semester. which of the following statements correctly describe the scores in terms of central tendency? quiz score 1 90 2 92 3 91 4 94 5 45 the score of 45 raises the mean. the score of 45 lowers the mean. it has no effect on the measures of central tendency. the score of 45 lowers the median. 2 multiple choice 1 point mr. harper recorded the number of balloons he sold of seven different colors. green - 84 white - 68 pink - 83 orange - 62 purple - 64 yellow - 73 red - 64 what was the range between the greatest number and the least number of balloons sold? 12 balloons 22 balloons 10 balloons 4 balloons

Explanation:

Step1: Calculate mean without 45

Sum of first 4 scores: $90 + 92+91 + 94=367$, mean of first 4 scores: $\frac{367}{4}=91.75$

Step2: Calculate mean with 45

Sum of all 5 scores: $90 + 92+91 + 94+45 = 412$, mean of all 5 scores: $\frac{412}{5}=82.4$. So 45 lowers the mean.

Step3: Check median

Arrange scores without 45: $90,91,92,94$, median is $\frac{91 + 92}{2}=91.5$. Arrange scores with 45: $45,90,91,92,94$, median is 91. So 45 lowers the median.

Step4: For second - question

Find greatest and least values. Greatest value of balloons sold is 84 (green), least is 62 (orange). Range = $84−62 = 22$

Answer:

1. The score of 45 lowers the mean. The score of 45 lowers the median.
2. 22 balloons