Data that is presented in the form of a frequency table with class intervals is called _________ data. $$grouped$$ or $$ungrouped$$

$$grouped$$ When data is organized into a frequency table where the values are placed into Class Intervals (like 0-10, 10-20, etc.), it's called grouped data .

The empirical relationship between mean, median, and mode $$Mode=P\times Median−Q\times Mean$$ The value of P and Q is

$$3\ and\ 2$$ $$Mode=3\times Median−2\times Mean$$

The formula for the mean of grouped data is given by $$\frac{Σ(f_ix_i)}{Σ(f_i)}$$ , where $$x_i$$ is called as class midpoint, which is calculated as.......

$$\frac{Upper\ \lim it+Lower\ \lim it}{2}$$ The class midpoint (also called the class mark ) is the value that lies exactly in the middle of a class interval in a frequency distribution.

The formula for the median of grouped data is Median = $$l+\left(\frac{\frac{n}{2}-cf}{f}\right)\times h$$ Here - $$l$$ is ..................... $$f$$ is ................... $$h$$ is .................

$$l+\left(\frac{\frac{n}{2}-cf}{f}\right)\times h$$ $$l$$ is the lower limit of the median class, $$f$$ is the frequency of the median class. $$h$$ is class size

The formula for the mode of grouped data is $$l+\frac{\left(f_1-f_0\right)}{(2f_1-f_0-f_2)}\times h$$ Here $$f_1$$ is ................................ $$f_2$$ is ............................... $$f_0$$ is ................................

Mode = $$l+\frac{\left(f_1-f_0\right)}{(2f_1-f_0-f_2)}\times h$$ $$f_1$$ is the frequency of the modal class $$f_2$$ is the frequency of the class succeeding the modal class $$f_0$$ is the frequency of the class preceding the modal class

In the assumed mean method, $$x̄=a+\frac{Σ(f_id_i)}{n}.\ \ \ \ $$ where a is called the .............. mean

$$assumed$$ The Assumed Mean Method is a shortcut used to make the calculation of the mean easier when the numbers are large.

In the step-deviation method, the formula $$x̄=a+h\left(\frac{Σ(f_iu_i)}{n}\right)$$ is used, where $$u_i=\frac{(x_i-a)}{h}$$ . $$True\ or\ False?$$

$$True$$ a → The Assumed Mean you choose h → The constant class size or class width uᵢ → The step deviation, calculated as uᵢ = (xᵢ − a) / h ∑(fᵢuᵢ) → The sum of (frequency × step deviation) n → The total frequency (∑fᵢ)

Mode = $$l+\frac{\left(f_1-f_0\right)}{(2f_1-f_0-f_2)}\times h$$ Here $$f_0$$ is the modal class. $$True\ or\ False$$

$$False$$ $$f_0$$ is the frequency of the class preceding the modal class $$f_1$$ is the frequency of the modal class

Mode = $$l+\frac{\left(f_1-f_0\right)}{(2f_1-f_0-f_2)}\times h$$ From the given table - Modal class is ......... $$f_1$$ is ............................... $$f_0$$ is .............................. $$f_2$$ is .............................

Modal class is $$3-5$$ $$f_1\ is\ 8$$ $$f_0\ is\ 7$$ $$f_2\ is\ 2$$

Median = $$l+\left(\frac{\frac{n}{2}-cf}{f}\right)\times h$$ From the given table - $$l$$ is .............. $$cf$$ is .............. $$f$$ is ..............

$$l\ is\ 145$$ $$cf\ is\ 11$$ $$f\ is\ 18$$

In situations which require establishing the most frequent value or most popular item, the ................ is the best choice. $$Median\ or\ Mode$$

$$Mode$$ Example - To find the most popular TV programme being watched

Since the average wage in a country can be significantly affected by extreme values, which measure of central tendency is the most suitable to use $$Mean\ or\ Median$$

$$Median$$ The presence of extreme values, such as the multi-million dollar salaries of CEOs and VPs, can distort the arithmetic mean of national wage data

For the data - $$a_1,a_2,a_3......a_n$$ If $$n$$ is even, then the median would be $$\frac{n}{2}th$$ term $$True\ or\ False$$

$$False$$ If $$n$$ is even, then the median would be the average of the $$\frac{n}{2}th$$ and $$\frac{n}{2}+1th$$ term

FC-CBSE-10-M-C13 Flashcards

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1.

FLASHCARD QUESTION

Front

2, 3, 1, 2, 1, 4, 7, 11, 6

Median of the above data is ......

Back

2.

FLASHCARD QUESTION

Front

2, 7, 4, 8, 4, 9, 2, 4, 8, 3, 4, 6

The Mode of the above data is .......

Back

3.

FLASHCARD QUESTION

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4.

FLASHCARD QUESTION

Front

The class interval that occurs most frequently is called the __________.

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

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7.

FLASHCARD QUESTION

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