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Investigation 2 - Determining the median
1 The median is indicated in each of the following sets of data. Study each
data set and figure out how to determine its median.
Data
3, 5, 7, 8, 8, 10, 11, 12, 14
10, 10, 10, 14, 17, 18, 24, 24, 26, 31, 35
12,9,5
3, 5, 2, 7, 18, 10, 14, 21, 15
6.2, 8.5, 9.3, 6.2, 8.7, 11.4, 9.3, 7.6, 8.5
Median
8
18
9
10
8.5
10
0
1223
12
123
344 5 57
124
13
2 2 2 3 4 89
Key: 13|2=132
0
4589
1
0 1
2257
12
2
0 2 3 4 8
Key: 1|1=11
2 Write down a rule for finding the median of a set of data.
B

Investigation 2 Determining the median 1 The median is indicated in each of the following sets of data Study each data set and figure out how to determine its m class=

Respuesta :

anbu40

Answer:

Median:

Median is the middle number of the data set that have been arranged in ascending order.

To find the median of a data set,

  • Arrange the numbers in ascending\descending order.
  • If the number of terms is odd, the median is the middle term.
  • If the number of terms is even, add the two middlemost terms and then divide by 2 and that will be the median.

1)a)  Number of terms = 9

      Middle term = (9 +1) ÷ 2 = 10 ÷ 2 = 5th term

    5th term will be the median.

   Median is 8.

b) Number of terms = 11

      Middle term = (11 +1) ÷ 2 = 12 ÷ 2 = 6th term

    6th term will be the median.

   Median is 18.

c)   Number of terms = 3

      Middle term = 2nd term

    2nd term will be the median.

   Median is 9.

d) Arrange in ascending order:

  6.2, 6.2, 7.6, 8.5, 8.5, 8.7, 9.3, 9.3, 11.4

Number of terms = 9

         Middle term = (9 +1) ÷ 2 = 10 ÷ 2 = 5th term

    5th term will be the median.

   Median is 8.5.

e) Data set arranged in ascending order,

100, 101, 102, 102, 103, 121, 122, 123, 123, 124,124, 125,125, 127, 132,132, 132, 133, 134, 138, 139.

Number of terms = 21

      Middle term = (21 +1) ÷ 2 = 22 ÷ 2 = 11th term

    11th term will be the median.

   Median is 124.

f) 4, 5, 8, 9, 10, 11, 12, 12, 15, 17, 20, 22, 23, 24, 28

Number of terms = 15

      Middle term = (15 +1) ÷ 2 = 16 ÷ 2 = 8th term

    8th term will be the median.

   Median is 12.

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