| Class Interval | Frequency (f) |
| 13-25 | 6 |
| 25-37 | 11 |
| 37-49 | 23 |
| 49-61 | 7 |
| 61-73 | 3 |
| Total | 50 |
| Class Interval | Frequency (f) | Cumulative Frequency (cf) |
| 13-25 | 6 | 6 |
| 25-37 | 11 | 17 |
| 37-49 | 23 | 40 |
| 49-61 | 7 | 47 |
| 61-73 | 3 | 50 |
| $n=\Sigma f=50$ |
| Lower Quartile | Upper Quartile |
| $\begin{array}{l}\text { Lower Quartile number }\left(q_1\right) \\ =\text { Size of }\left(\frac{n}{4}\right) \text { th item }\end{array}$ | $\begin{array}{l}\text { Upper Quartile number }\left(q_3\right) \\ =\text { Size of } 3\left(\frac{n}{4}\right) \text { th item }\end{array}$ |
| $=\left(\frac{50}{4}\right)$ th item $=12.5$ th item cf just greater than 12.5 is 17 and the corresponding class is 25-37.So, $1_1=25$$cf =6, f =11$ and $c =12$ $\begin{array}{l}\therefore Q_1=l_1+\frac{\frac{n}{4}-c f}{f} \times c \\=25+\frac{12.5-6}{11} \times 12=25+\frac{6.5}{11} \\\times 12=25+7.09 \\\Rightarrow Q_1=32.09\end{array}$ | $=$ Size of $3\left(\frac{50}{4}\right)$ th item $=37.5$ th item cf just greater than 37.5 is 40 and corresponding class is $37-$ 49. So, $1_1=37$, cf=17 $\begin{array}{l} f=23 \\ c=12 \\ \therefore Q_3=l_1+\frac{\frac{3 m}{4}-c f}{f} \times c \\=37+\frac{37.5-17}{23} \times 12=37 \\+\frac{20.5}{23} \times 12 \\=37+10.70 \Rightarrow Q_3=47.70\end{array}$ |
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Output(Units)
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
|
Price (Rs.)
|
24
|
24
|
24
|
24
|
24
|
24
|
24
|
|
Total Cost (Rs.)
|
26
|
50
|
72
|
92
|
115
|
139
|
165
|
|
Output (Units)
|
1
|
2
|
3
|
4
|
5
|
6
|
|
Average cost (Rs.)
|
12
|
11
|
10
|
10
|
10.74
|
11
|