Maharashtra Board Solutions for Chapter: Statistics, Exercise 6: Problem set

The mean of nine numbers is $77$. If one more number is added to it than the mean increases by $5$. Find the number added in the data.

The monthly maximum temperature of a city is given in degree celcius in the following data. By taking suitable classes, prepare the grouped frequency distribution table.

$29.2, 29.0, 28.1, 28.5, 32.9, 29.2, 34.2, 36.8, 32.0, 31.0, 30.5, 30.0, 33, 32.5, 35.5, 34.0, 32.9, 31.5, 30.3, 31.4, 30.3, 34.7, 35.0, 32.5, 33.5, 29.0, 29.5, 29.9, 33.2, 30.2$

From the table, answer the following questions.  

For how many days the maximum temperature was less than $34°C$?

The monthly maximum temperature of a city is given in degree Celsius in the following data. By taking suitable classes, prepare the grouped frequency distribution table.

$29.2, 29.0, 28.1, 28.5, 32.9, 29.2, 34.2, 36.8, 32.0, 31.0, 30.5, 30.0, 33, 32.5, 35.5, 34.0, 32.9, 31.5, 30.3, 31.4, 30.3, 34.7, 35.0, 32.5, 33.5, 29.0, 29.5, 29.9, 33.2, 30.2$

From the table, answer the following questions.  

If the mean of the following data is $20.2$, then find the value of $p$.

There are $68$ students of$9^{\mathrm{th}}$ standard from model High school, Nandpur. They have scored following marks out of $80$, in written exam of mathematics.

$70, 50, 60, 66, 45, 46, 38, 30, 40, 47, 56, 68,80, 79, 39, 43, 57, 61, 51, 32, 42, 43, 75, 43,36, 37, 61, 71, 32, 40, 45, 32, 36, 42, 43, 55,56, 62, 66, 72, 73, 78, 36, 46, 47, 52, 68, 78,80, 49, 59, 69, 65, 35, 46, 56, 57, 60, 36, 37,45, 42, 70, 37, 45, 66, 56, 47$

By taking classes $30-40, 40-50, ....$ Prepare the less than type cumulative frequency table Using the table, answer the following questions:  

There are $68$ students of$9th$ standard from model High school, Nandpur. They have scored following marks out of $80$, in written exam of mathematics.

$70, 50, 60, 66, 45, 46, 38, 30, 40, 47, 56, 68,80, 79, 39, 43, 57, 61, 51, 32, 42, 43, 75, 43,36, 37, 61, 71, 32, 40, 45, 32, 36, 42, 43, 55,56, 62, 66, 72, 73, 78, 36, 46, 47, 52, 68, 78,80, 49, 59, 69, 65, 35, 46, 56, 57, 60, 36, 37,45, 42, 70, 37, 45, 66, 56, 47$

By taking classes $30-40, 40-50, ....$ prepare the less than type cumulative frequency table Using the table, answer the following questions:  

By using data in example $\left(6\right)$, and taking classes $30-40, 40-50...$ prepare equal to or more than type cumulative frequency table and answer the following questions based on it.

How many students have scored marks $70$ or more than $70$?

There are $68$ students of$9th$ standard from model Highschool, Nandpur. They have scored following marks out of $80$, in written exam of mathematics.

$70, 50, 60, 66, 45, 46, 38, 30, 40, 47, 56, 68,80, 79, 39, 43, 57, 61, 51, 32, 42, 43, 75, 43,36, 37, 61, 71, 32, 40, 45, 32, 36, 42, 43, 55,56, 62, 66, 72, 73, 78, 36, 46, 47, 52, 68, 78,80, 49, 59, 69, 65, 35, 46, 56, 57, 60, 36, 37,45, 42, 70, 37, 45, 66, 56, 47$