The height (in cm) of 40 students of a class are given below:
Height (in cm)
160
162
165
170
175
180
No. of students
8
10
10
2
4
6
Answers
Answer:
Mean = 166.75
Median = 165
Mode = 162 and 165
PLS CHOOSE YOUR ANSWER
Step-by-step explanation:
Mean
Mean = Sum of the height of total class / No. of students
= (160*8 + 162 * 10 + 165 * 10 + 170 * 2 + 175 * 4 + 180 * 6)/40
= (1280 + 1620 + 1650 + 340 + 700 + 1080)/40
= (6670)/40
= 166.75
Median
Median = Middle number of the set.
Since it is an Even number of Data (40 Students), the median would be the average of-
n/2 th and (n/2)+1 th terms
= 40/2 th and (40/2)+1 th terms
= 20th and 21st terms.
160, 160, 160, 160, 160, 160, 160, 160, 162, 162, 162, 162, 162, 162, 162, 162, 162, 162, 165, 165, 165, 165, 165, 165, 165, 165, 165, 165, 170, 170, 175, 175, 175, 175, 180, 180, 180, 180, 180, 180
20th and 21st Term are
165 and 165.
The median = (165 + 165)/2
= 165
Mode
Mode = THe data with the highest frequency
The data is height and the frequency is no. of students
The highest frequency is 10.
Two data have 10 as the frequency i.e 162 and 165.
So, Both 162 and 165 are the mode of the data