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Measure of Central Tendency - JSS3 Mathematics Past Questions and Answers - page 2

11

Find the median of the following data set: 7,3,5,9,2,6.

Arrange the data in ascending order: 2,3,5,6,7,9.

Since there are 6 numbers (even), the median is the average of the 3rd and 4th numbers:

Median= 5+6/2= 11/2= 5.5

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12

Compute the mean of the data set: 15,20,12,18,25.

Add all the numbers together: 15+20+12+18+25=90

Divide by the number of values (5):

Mean=90/5=18

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13

Find the range of the data set: 6,12,9,3,17.

Identify the smallest and largest values:

Smallest value = 3, Largest value = 17.

Calculate the range:

Range=17−3=14

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14

Find the median of the data set: 5.2,3.7,8.1,4.5,6.3.

Arrange the data in ascending order: 3.7,4.5,5.2,6.3,8.1.

Since there are 5 numbers (odd), the median is the middle value: Median=5.2

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15

Determine the mode of the data set: 10,7,14,3,9.

Each number appears only once, so there is no mode.

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16

Calculate the mean of the data set: 1.5,2.25,1.75,2.5.

Add all the numbers together: 1.5+2.25+1.75+2.5=8

Divide by the number of values (4):

Mean= 4/8 =2

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17

Find the median of the data set: −3,−7,−1,−5,−2.

Arrange the data in ascending order: −5,−3,−2,−1.

Since there are 5 numbers (odd), the median is the middle value:

Median=−3

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