Math

A set of nine data points is shown below. Which statement is true if a tenth data point of 45 is added to the data set?
8 11 12 10 9 7 5 3 9

A. The mean and median will both increase.
B. The mean will increase and the median will decrease.**
C. The mean will increase and the median will remain the same.
D. The mean and the median will both decrease.

  1. 👍
  2. 👎
  3. 👁
  1. the median cannot decrease if a new high value is added.
    It will be the average of the two new middle values, which cannot be less than the current middle value.

    1. 👍
    2. 👎
  2. C. The mean will increase and the median will remain the same.

    before 45 is added: mean is 8.22 median is 9
    after 45 is added: mean is11.9 median is 9

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. MATH HELP

    Which of the following is true of the data set represented by the box plot? box plot with point at 16, min at 33, Q1 at 40, median at 52, Q3 at 55, max at 78, and point at 86 The greatest value in the set is 79. The data is evenly

  2. algebra

    Two similar data sets are being compared. The standard deviation of Set A is 4.8. The standard deviation of Set B is 6.5. Which statement about the data sets is true? a)The mean of the data in Set B is greater than the mean of the

  3. algebra

    Consider the scatter plot shown. Which shows the line of best fit? Explain your reasoning. A scatter plot is shown in the xy-plane. The values on the x-axis range from 0 to 9 in increments of 1 and the values on the y-axis range

  4. chemistry assignment

    A laboratory instructor gives a sample of amino acids powder to each students,1,2,3and4,and they weigh the samples.The true. value is 8.72g.Their results for three trials are 1:8.72g,8.74g,8.70g 2:8.56g,8.77g,8.83g

  1. Science

    Which of the following statements about line graphs is true. A. The dependent variable is on the horizontal axis. B. Line graphs are always straight lines. C. Every data point should be shown on a line graph. D. There is a maximum

  2. Math

    Find the mean of the data set. If necessary, round to the nearest tenth. 15.8, 14.9, 17.6, 13.4. A) 15.7 ***** B) 16.2 C) 16.7 D) 19.6 Erin wrote the following set of numbers. 37, 22, 37, 19, 34, 22, 37, 22, 32, 26, 30, 22 What is

  3. Math

    Find the mean of the data set. If necessary, round to the nearest tenth. 18,14,8,22,25,8 A.15.8 B.14.8 C.16.1*** D.17.3 I’m pretty sure c. Is wrong but that’s why I need help..

  4. Math Help me PLZ!

    1: What is the median of the data set: 25,8,10,35,5,45,40,30,20 A:10 ~ B:22.5 C:25 D:27.5 2: What is the upper quartile of the given data set: 25,8,10,35,5,45,40,30,20 A:35 B:37.5 ~ C:37 D:40 3: What is the lower quartile of the

  1. Algebra II

    What is the standard deviation of the data set? Round the answer to the nearest tenth. 5, 9, 11, 4, 8, 9, 12

  2. math

    Which statement best explains if the graph correctly represents the proportional relationship y = −2x? A coordinate plane is shown. Points are graphed at 2 comma 4 and negative 1 comma 2. The points are joined by a line. No, the

  3. Math

    What is the standard deviation of the following data set rounded to the nearest tenth? 51.8, 53.6, 54.7, 51.9, 49.3 A) 1.9*** B) 3.3 C) 1.8 D) 3.4

  4. Algebra (Normal Distribution)

    The mean of a normally distributed data set is 12, and the standard deviation is 2. ___% of the data points lies between 8 and 16. Find the percentage

You can view more similar questions or ask a new question.