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Inessa05 [86]
3 years ago
13

Hi, I need help with this question. Here is the question: For which data set is the median greater than the mean?

Mathematics
2 answers:
alexdok [17]3 years ago
8 0

(4) {1,2,10,11, 12}

Answer:

Solution given:

1:

{ 4,7,10,13,16}

n=5

median={n+1)/2th term=6/2=3th term=10

mean=sum/n={ 4+7+10+13+16}/{5}=10

(2)

{8,9,10,18,19}

n=5

median={n+1)/2th term=6/2=3th term=10

mean=sum/n={8+9+10+18+19}/{5}=<u>1</u><u>2</u><u>.</u><u>8</u>

3) {8,9,10,11,12}

n=5

median={n+1)/2th term=6/2=3th term=10

mean=sum/n={8+9+10+11+12}/{5}=10

(4) {1,2,10,11, 12}

n=5

median={n+1)/2th term=6/2=3th term=10

mean=sum/n={1+2+10+11+13}/{5}=7.4

In above

1: mean=median

2:mean>median

3:mean=median

4:mean<median

<u>s</u><u>o</u><u> </u><u>m</u><u>e</u><u>d</u><u>i</u><u>a</u><u>n</u><u> </u><u>i</u><u>s</u><u> </u><u>g</u><u>r</u><u>e</u><u>a</u><u>t</u><u>e</u><u>r</u><u> </u><u>t</u><u>h</u><u>a</u><u>n</u><u> </u><u>m</u><u>e</u><u>a</u><u>n</u><u> </u><u>i</u><u>s</u><u> </u><u>i</u><u>n</u><u> </u><u>4</u><u>t</u><u>h</u><u> </u><u>o</u><u>n</u><u>e</u><u>.</u>

(4) {1,2,10,11, 12}

FinnZ [79.3K]3 years ago
4 0

Answer:

Set 2

Step-by-step explanation:

First find the median of each set (the median being the number in the middle):

(1) { 4,7,10,13,16} = 10

(2) {8,9,10,18,19} = 10

(3) {8,9,10,11,12} = 10

(4) {1,2,10,11, 12} = 10

Then find the mean of each set (the mean being average of all the numbers, to find the average add up all the numbers and divide by the amount of numbers):

(1) { 4,7,10,13,16} = 10

(2) {8,9,10,18,19} = 12.8

(3) {8,9,10,11,12} = 10

(4) {1,2,10,11, 12} = 7.2

the answer being 12.8 since 12.8 is greater than 10

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