Measure of Central Tendency - JSS3 Mathematics Past Questions and Answers - page 2
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
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
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
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
Determine the mode of the data set: 10,7,14,3,9.
Each number appears only once, so there is no mode.
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
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