The following table shows thlowing table shows the frequency table of

1.	The following table shows thlowing table shows the frequency table of literacy rate (in percentage) ofties Find the mean literacy rate by assumed mean method :Heracy rate (in percentage) 45 – 55 55 – 65 65 – 75 75 – 85 85 – 95Number of cities3 10 11 8 3\|Take 70 as the assumed mean. Find mean up to two places of decimal.
Answer» Answer: Mean = 69.43 Step-by-step explanation: We are given below the following table that shows the frequency table of literacy rate (in percentage) of cities; Literacy rate(in %) Number of cities (f) X d = $\frac{X-A}{h}$ *f d** 45 - 55 3 50 -2 -6 55 - 65 10 60 -1 -10 65 - 75 11 70 0 0 75 - 85 8 80 1 8 85 - 95 3 90 2 6 ∑ f = 35 ∑fd = -2 Here, X is calculated as (Upper limit + Lower limit) ÷ 2 . Assumed Mean method formula is given by; Mean = $A+\frac{\sum fd}{\sum f} h$ where, A = assumed mean = 70 h = width of class INTERVAL = 10 Mean = $70+\frac{-2}{35} * 10$ = 70 - $\frac{4}{7}$ = 69.43 Therefore, mean literacy rate by assumed mean method is 69.43 .

The following table shows thlowing table shows the frequency table of literacy rate (in percentage) ofties Find the mean literacy rate by assumed mean method :Heracy rate (in percentage) 45 – 55 55 – 65 65 – 75 75 – 85 85 – 95Number of cities3 10 11 8 3|Take 70 as the assumed mean. Find mean up to two places of decimal.

Answer»

Answer:

Step-by-step explanation:

We are given below the following table that shows the frequency table of literacy rate (in percentage) of cities;

Literacy rate(in %) Number of cities (f) X d = $\frac{X-A}{h}$ f * d

45 - 55 3 50 -2 -6

55 - 65 10 60 -1 -10

65 - 75 11 70 0 0

75 - 85 8 80 1 8

85 - 95 3 90 2 6

∑ f = 35 ∑f*d = -2

Here, X is calculated as (Upper limit + Lower limit) ÷ 2 .

Assumed Mean method formula is given by;

Mean = $A+\frac{\sum fd}{\sum f} * h$ where, A = assumed mean = 70

h = width of class INTERVAL = 10

Mean = $70+\frac{-2}{35} * 10$

= 70 - $\frac{4}{7}$ = 69.43

Therefore, mean literacy rate by assumed mean method is 69.43 .