Class 10Mathematics Chapter 14 - StatisticsFormulas Needed Quality Ans

1.	Class 10Mathematics Chapter 14 - StatisticsFormulas Needed Quality Answer Needed
Answer» REQUIRED Formulas : ⠀ 1. Mean of the GROUP data: ⠀ (i) The Direct method forming is GIVEN by, ⠀ $\sf{:\implies Mean (\bar{x}) = \dfrac{\sum f_i x_i}{\sum f_i}}$ ⠀ (ii) The Assume-mean method forming is given by, ⠀ $\sf{:\implies Mean (\bar{x}) = a + \dfrac{\sum f_i d_i}{\sum f_i}}$ ⠀ (iii) The Step-deviation method formula is given by, ⠀ $\sf{:\implies Mean (\bar{x}) = a + \bigg\lgroup\dfrac{\sum f_i u_i}{\sum f_i}\bigg\rgroup \times h}$ ⠀ 2. Mode of the group data: ⠀ The mode formula is given by, ⠀ $\sf{:\implies Mode (M_o) = l + \bigg\lgroup \dfrac{f_1 - f_0}{2f_1 - f_0 - f_2}\bigg\rgroup \times h}$ ⠀ 3. Median of the group data: ⠀ The median formula is given by, ⠀ $\displaystyle\sf{:\implies Median (M_e) = l + \bigg\lgroup \frac{ \frac{n}{2} - cf}{f} \bigg \rgroup \times h}$ ⠀ 4. Empirical formula: ⠀ The Empirical formula is given by, ⠀ $\sf{:\implies 3Median = Mode + 2Mean}$ ⠀ $\setlength{\unitlength}{1.0 cm}}\begin{picture}(12,4)\thicklines\put(1,1){\line(1,0){6.5}}\put(1,1.1){\line(1,0){6.5}}\put(1,1.2){\line(1,0){6.5}}\end{picture}$

Class 10Mathematics Chapter 14 - StatisticsFormulas Needed Quality Answer Needed

Answer»

REQUIRED Formulas :

⠀

1. Mean of the GROUP data:

⠀

(i) The Direct method forming is GIVEN by,

⠀

$\sf{:\implies Mean (\bar{x}) = \dfrac{\sum f_i x_i}{\sum f_i}}$

⠀

(ii) The Assume-mean method forming is given by,

⠀

$\sf{:\implies Mean (\bar{x}) = a + \dfrac{\sum f_i d_i}{\sum f_i}}$

⠀

(iii) The Step-deviation method formula is given by,

⠀

$\sf{:\implies Mean (\bar{x}) = a + \bigg\lgroup\dfrac{\sum f_i u_i}{\sum f_i}\bigg\rgroup \times h}$

⠀

2. Mode of the group data:

⠀

The mode formula is given by,

⠀

$\sf{:\implies Mode (M_o) = l + \bigg\lgroup \dfrac{f_1 - f_0}{2f_1 - f_0 - f_2}\bigg\rgroup \times h}$

⠀

3. Median of the group data:

⠀

The median formula is given by,

⠀

$\displaystyle\sf{:\implies Median (M_e) = l + \bigg\lgroup \frac{ \frac{n}{2} - cf}{f} \bigg \rgroup \times h}$

⠀

4. Empirical formula:

⠀

The Empirical formula is given by,

⠀

$\sf{:\implies 3Median = Mode + 2Mean}$

⠀

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