Math

Here is the question:Consider a data set of 15 distinct measurements with mean A and median B.

(a) If the highest number were increased, what would be the effect on the median and mean? Explain.

The mean would remain the same while the median would increase.
Both the mean and median would increase.
Both the mean and median would remain the same.
The mean would increase while the median would remain the same.

(b) If the highest number were decreased to a value still larger than B, what would be the effect on the median and mean?

The mean would decrease while the median would remain the same.
Both the mean and median would decrease.
Both the mean and median would remain the same.
The mean would remain the same while the median would decrease.

(c) If the highest number were decreased to a value smaller than B, what would be the effect on the median and mean?

The mean would decrease while the median would remain the same.
Both the mean and median would decrease.
Both the mean and median would remain the same.
The mean would remain the same while the median would decrease.

I'm not sure if I did this right but here are my answers:

(a)Both the mean and median would increase.
(b)Both the mean and median would decrease.
(c) Both the mean and median would decrease.

Can anyone check to see what I did wrong?

  1. 👍
  2. 👎
  3. 👁
  1. The median is essentially the 50th percentile.

    Think of the mean as a fulcrum or balance point.

    a) disagree

    b) disagree

    c) agree

    1. 👍
    2. 👎
  2. I fixed my answer but I'm not sure if it is right...

    a)The mean would increase while the median would remain the same.

    b) Both the mean and median would remain the same.

    1. 👍
    2. 👎
  3. (b) the mean would decrease while the median remained the same

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. ALGEBRA

    Find the mean, median, and mode of the data set. Round to the nearest tenth. 15, 13, 9, 9, 7, 1, 11, 10, 13, 1, 13 (1 point) • mean = 9.3, median = 8, mode = 13 • mean = 8.5, median = 10, mode = 13 • mean = 9.3, median = 10,

  2. Math

    1. What are the mean, median, mode, and range of the data set given the altitude of lakes in feet: -11, -28, -17, -25, -28, -39, -6, and -46? A. Mean = -25, Median = - 26.5, Mode = -28, Range = 40*** B. mean = -25; median = -40;

  3. math :D

    Find the mean, median, and mode of the data set: 15, 16, 21, 23, 25, 25, 25, 39 1.mean = 23.6, median = 25, mode = 24 2.mean = 24, median = 23.6, mode = 25 3.mean = 24.6, median = 24, mode = 25 4.mean = 23.6, median = 24, mode =

  4. math

    1.What are the mean,median,mode and range of the data set given the altitude of lakes in feet:-9,-36,-23,-8,-17,-52,-27,and-36? 2.Given the data 21,13,13,37,13,23,25,15 a.What is the outlier in the data? b.what is the mean with

  1. math

    what are the mean median mode and range of the data set give the altitude of lake in feet: -12,-9,-14,-39-49,-49,-18, and -43? A. mean=-28.5, median=-29.1, mode=-49, range=40 B. mean=-29.1, median=-49 , mode=-28.5 , range= 41 C.

  2. 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

  3. 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

  4. Math

    1. What are the mean, median, mode, and range of the data set 16, 17, 17, 17, 19, 21, 23, 24? (1 point)mean = 19.3; median = 17; mode = 18 mean = 19.3; median = 18; mode = 17 mean = 18; median = 19.3; mode = 17 mean = 20.3; median

  1. algebra 1 question pls help!!!

    1. Find the mean, median, and mode of the data set: 15, 16, 21, 23, 25, 25, 25, 39 a.mean = 23.6, median = 25, mode = 24 b.mean = 24, median = 23.6, mode = 25 c.mean = 24.6, median = 24, mode = 25 d.mean = 23.6, median = 24, mode

  2. algebra 1

    The number of bagels sold daily for two bakeries is shown in the table. Bakery A Bakery B 53 34 52 40 50 36 48 38 53 41 47 44 55 40 51 39 Based on these data, is it better to describe the centers of distribution in terms of the

  3. Math homework Help Please

    Hii so, I'm on my 5th mental breakdown Today and Its only 9:00 today, and as I know most of you don't care what so ever about what I'm going through and you all have your own problems but I'm honestly horrible at math and this is

  4. 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

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