Given the data below

calculate the median of the data in MATLAB
I have the code below
class_intervals = [420 430; 430 440; 440 450; 450 460; 460 470; 470 480; 480 490; 490 500];
frequencies = [336, 2112, 2336, 1074, 1553, 1336, 736, 85];

% Calculate the cumulative frequencies
cum_frequencies = cumsum(frequencies)

% Calculate the total number of observations
N = sum(frequencies);

% Find the median class (where cumulative frequency exceeds N/2)
median_class_index = find(cum_frequencies >= N/2, 1)

% Extract the lower boundary, frequency, and cumulative frequency of the class before the median class
L = class_intervals(median_class_index, 1) % lower boundary of the median class
f = frequencies(median_class_index) % frequency of the median class
if median_class_index == 1
cf = 0; % cumulative frequency before the median class
else
cf = cum_frequencies(median_class_index – 1) % cumulative frequency before the median class
end

% Calculate the width of the median class interval
h = class_intervals(median_class_index, 2) – class_intervals(median_class_index, 1)

% Calculate the median using the formula
median = L + ((N/2 – cf) / f) * h
However I was wondering if instead of calculating it manually is there any inbuilt function in MATLAB to calculate median of grouped data.Given the data below

calculate the median of the data in MATLAB
I have the code below
class_intervals = [420 430; 430 440; 440 450; 450 460; 460 470; 470 480; 480 490; 490 500];
frequencies = [336, 2112, 2336, 1074, 1553, 1336, 736, 85];

% Calculate the cumulative frequencies
cum_frequencies = cumsum(frequencies)

% Calculate the total number of observations
N = sum(frequencies);

% Find the median class (where cumulative frequency exceeds N/2)
median_class_index = find(cum_frequencies >= N/2, 1)

% Extract the lower boundary, frequency, and cumulative frequency of the class before the median class
L = class_intervals(median_class_index, 1) % lower boundary of the median class
f = frequencies(median_class_index) % frequency of the median class
if median_class_index == 1
cf = 0; % cumulative frequency before the median class
else
cf = cum_frequencies(median_class_index – 1) % cumulative frequency before the median class
end

% Calculate the width of the median class interval
h = class_intervals(median_class_index, 2) – class_intervals(median_class_index, 1)

% Calculate the median using the formula
median = L + ((N/2 – cf) / f) * h
However I was wondering if instead of calculating it manually is there any inbuilt function in MATLAB to calculate median of grouped data. Given the data below

calculate the median of the data in MATLAB
I have the code below
class_intervals = [420 430; 430 440; 440 450; 450 460; 460 470; 470 480; 480 490; 490 500];
frequencies = [336, 2112, 2336, 1074, 1553, 1336, 736, 85];

% Calculate the cumulative frequencies
cum_frequencies = cumsum(frequencies)

% Calculate the total number of observations
N = sum(frequencies);

% Find the median class (where cumulative frequency exceeds N/2)
median_class_index = find(cum_frequencies >= N/2, 1)

% Extract the lower boundary, frequency, and cumulative frequency of the class before the median class
L = class_intervals(median_class_index, 1) % lower boundary of the median class
f = frequencies(median_class_index) % frequency of the median class
if median_class_index == 1
cf = 0; % cumulative frequency before the median class
else
cf = cum_frequencies(median_class_index – 1) % cumulative frequency before the median class
end

% Calculate the width of the median class interval
h = class_intervals(median_class_index, 2) – class_intervals(median_class_index, 1)

% Calculate the median using the formula
median = L + ((N/2 – cf) / f) * h
However I was wondering if instead of calculating it manually is there any inbuilt function in MATLAB to calculate median of grouped data. descriptive statistics MATLAB Answers — New Questions

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