Pada pemilihan ketua Osis di SMAN 18 Kota Batam, didapatkan hasil pemungutan suara seba berikut: multirow(2)(*)( Pemungutan suara ) & multicolumn(2)(|c|)( Nama Calon Ketua Osis ) cline ( 2 - 3 ) & Robby (R) & Adhit (A) Kelas X & 15 & 80 Kelas XI & 42 & 56 Kelas XII & 44 & 72 Berdasarkan data di atas, tentukan nilai U yang akan digunakan dalam Uji Mann-Whitney!

### Nilai U yang akan digunakan dalam Uji Mann-Whitney adalah nilai U terkecil dari perhitungan di atas setelah menghitung dan merangking semua suara.

## Step 1: Understanding the Mann-Whitney U Test### The Mann-Whitney U test is a non-parametric test used to determine whether there is a difference between two independent groups. In this context, we are comparing the votes received by Robby and Adhit across different classes.## Step 2: Organizing the Data### We have two groups: votes for Robby (R) and votes for Adhit (A). The data from the table is as follows:- Kelas X: R = 15, A = 80- Kelas XI: R = 42, A = 56- Kelas XII: R = 44, A = 72## Step 3: Calculating the Total Votes### Calculate the total number of votes for each candidate:- Total votes for Robby (R): - Total votes for Adhit (A): ## Step 4: Ranking the Data### Combine all the votes into a single list and rank them. Assign ranks starting from 1 for the smallest value. If there are ties, assign the average rank to the tied values.## Step 5: Calculating the U Value### The formula for calculating the U statistic for each group is: Where:- and are the sample sizes for groups 1 and 2.- and are the sum of ranks for groups 1 and 2.### For Robby (R):- (number of classes)- is the sum of ranks for Robby's votes.### For Adhit (A):- (number of classes)- is the sum of ranks for Adhit's votes.### Calculate and , then take the smaller value as the Mann-Whitney U statistic.