Page 289 - Ai_V3.0_c11_flipbook
P. 289
MEDIAN: (Frequency Distribution Series):
1. Find Cumulative Frequency (cf)
Wages f cf
(X) th
n
2. Median Class = term
2
0 – 100 2 2
th
th
= (10/2) term = 5 term
100 – 200 1 3
th
200 – 300 3 6 5 term lies in Cumulative Frequency 6
Hence Median Class = 200 – 300
300 – 400 3 9 3. Using formula
400 – 500 1 10 n − cf
n = 10 M = l 1 + 2 f × i
l = 200 10
1 − 3
cf = 3 M 200 + 2 x 100
=
f = 3 3
i = 300 – 200
Median = 266.67
Median calculation using Python
Program 2: To calculate the median weight of 25 students.
50.5, 55.2, 60.3, 65.8, 70.1, 75.6, 80.4, 85.7, 90.2, 95.5, 50.3, 55.8, 60.1, 65.4, 70.9, 75.2, 80.6, 85.3, 90.8,
95.1,50.7, 55.9, 60.5, 65.2, 70.4
import statistics
# List of weights for 25 students with decimal values
weights = [50.5, 55.2, 60.3, 65.8, 70.1, 75.6, 80.4, 85.7, 90.2, 95.5,
50.3, 55.8, 60.1, 65.4, 70.9, 75.2, 80.6, 85.3, 90.8, 95.1,
50.7, 55.9, 60.5, 65.2, 70.4]
# Calculate the median weight using statistics.median()
median_weight = statistics.median(weights)
# Print the median weight
print("Median weight of 25 students is:", median_weight)
Output:
Median weight of 25 students is: 70.1
Mode
The mode is a measure of central tendency that identifies the most frequently occurring value in a dataset. Unlike the
mean and median, the mode can be used with both numerical and categorical data. A dataset can have one mode
(unimodal), more than one mode (bimodal or multimodal), or no mode at all if no number repeats.
In statistics, the mode is the value that appears most often in a given list of numbers.
Data Literacy—Data Collection to Data Analysis 287

