Math  /  Data & Statistics

Question9. Solve the following: b. Find the mean of the first 15 odd natural numbers. 2215=15\rightarrow \frac{22}{15}=15 Ars. c. Compare the mean, median, and mode of the following data: 8,15,15,178,15,15,17, and 20.8+15+15+134020 . \rightarrow 8+15+15+1340
10. The median of observations 4,5,8,11,x+2,x+4,19,26,29,324,5,8,11, x+2, x+4,19,26,29,32 is 13 . Find the value of xx if the values already written in ascending order.
11. The weight (in kg ) of 20 students of a class are as follows: 36,42,45,36,40,45,38,41,36,39,49,43,44,34,50,48,52,41,51,3636,42,45,36,40,45,38,41,36,39,49,43,44,34,50,48,52,41,51,36

Find the mean, median and mode of the given data.
12. A dice was rolled 30 times and the following scores were obtained: 1,6,5,2,6,3,5,1,6,5,3,5,1,3,3,2,6,4,4,4,5,3,4,6,6,2,1,3,5,31,6,5,2,6,3,5,1,6,5,3,5,1,3,3,2,6,4,4,4,5,3,4,6,6,2,1,3,5,3

Find the mode of the given data. 1) Find the mean of the following data: \begin{tabular}{|l|c|c|c|c|c|c|} \hline Agec| & 10 & 11 & 12 & 13 & 14 & 15 \\ \hline No. of students & 23 & 19 & 35 & 18 & 32 & 46 \\ \hline \end{tabular}

Studdy Solution
Find the mean of the given age data: Age101112131415No. of students231935183246\begin{array}{|l|c|c|c|c|c|c|} \hline \text{Age} & 10 & 11 & 12 & 13 & 14 & 15 \\ \hline \text{No. of students} & 23 & 19 & 35 & 18 & 32 & 46 \\ \hline \end{array}
Calculate the mean: Mean=23×10+19×11+35×12+18×13+32×14+46×1523+19+35+18+32+46 \text{Mean} = \frac{23 \times 10 + 19 \times 11 + 35 \times 12 + 18 \times 13 + 32 \times 14 + 46 \times 15}{23 + 19 + 35 + 18 + 32 + 46}
Solution:
1. Mean of the first 15 odd natural numbers: 15.
2. For 8,15,15,17,208, 15, 15, 17, 20: - Mean: 15 - Median: 15 - Mode: 15
3. Value of x x : 11.
4. For the weights of 20 students: - Mean: 42.45 - Median: 41.5 - Mode: 36
5. Mode of dice rolls: 3 and 6.
6. Mean of age data: 13.17.

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