Grouped Frequency Table

Q. The marks obtained by 36 students in a test in statistics (out of 50) are as below.
$\begin{array}{cccccccccccc}3& 5& 1& 15& 35& 45& 23& 31& 40& 21& 13& 15\\ 20& 47& 48& 42& 34& 43& 45& 33& 37& 11& 13& 27\\ 18& 12& 37& 39& 38& 16& 13& 18& 5& 41& 47& 43\end{array}$
Construct a frequency distribution table with equal class intervals, one of them being 10-20(20 is not included).

Q. A fruit vendor buys some oranges at the rate of Rs.$5$ per orange. He also buys an equal number of bananas at the rate of Rs.$2$ per banana. He makes a $20$% profit on orange and $15$% profit on bananas. At the end of the day, all the fruit is sold out. His total profit is Rs.$390$. Find the number of oranges purchased.

Q.

The weekly wages (in Rs.) of $30$workers in a factory are:

$$\begin{gathered} 830,835,890,810,835,836,869,845, \\ 898,890,820,860,832,833,855,845,804, \\ 808,812,840,885,835,835, \\ 836,878,840,868,890,806,840 \end{gathered}$$

Using tally marks, make a frequency table with intervals as $800-810,810-820$ and so on.

Q.

State whether the given statement is true or false:

The probability of picking an even prime from numbers 1 to 25 is 0.04

1. False

2. True

Q.

The weekly expenses (₹) of 30 students of a class are given below: 62 , 80 , 110 , 75 , 84 , 73 , 60 , 62, 100 , 87 , 78 , 94 , 117, 86, 65, 68, 90, 80, 118 , 72, 95, 72, 103, 96, 64, 94, 87, 85, 105, 115. Which among the given options is the correct frequency table?

1. $\begin{array}{cc}Weeklyexpenses& NumberofStudents\\ 60-70& 6\\ 70-80& 5\\ 80-90& 5\\ 90-100& 3\\ 100-110& 3\\ 110-120& 4\end{array}$

2. $\begin{array}{cc}PocketExpense& NumberofStudents\\ 60-70& 6\\ 70-80& 5\\ 80-90& 7\\ 90-100& 5\\ 100-110& 3\\ 110-120& 4\end{array}$

3. $\begin{array}{cc}Weeklyexpenses& NumberofStudents\\ 60-70& 6\\ 70-80& 5\\ 80-90& 7\\ 90-100& 3\\ 100-110& 3\\ 110-120& 4\end{array}$

4. $\begin{array}{cc}Weeklyexpenses& NumberofStudents\\ 60-70& 6\\ 70-80& 5\\ 80-90& 5\\ 90-100& 5\\ 100-110& 7\\ 110-120& 4\end{array}$

Q. Sandesh sold $15kg$ apples for $Rs.2100$ and made a profit of $12.5\%$. At what price per kg should he sell to gain $15\%$

Q. Sanjay purchased $125$ stools at the rate of $Rs120$ per stool. The transport expenditures was $Rs250$. He paid octroi at the rate of $Rs2$ per stool and coolie charges were $Rs250$. What should be the selling price of each stool, if he wants a profit of $10\%$.

Q. A juice company recorded the number of rotten fruits in each barrel it received. What is the highest number of rotten fruits?

1. 12
2. 54
3. 46
4. 34