Question

Find the mean and median of the following data: Class 0-10 10-20 20-30 30-40 40-50 Frequency 8 16 36 34 6

Answer 1

Given:

We have the class interval and frequency is  Class 0-10 10-20 20-30 30-40 40-50 Frequency 8 16 36 34 6.

To Find:

We have to find the mean and median of given data?

Step-by-step explanation:

Mean:

• Mean of observation is calculated by sum of observation divided by total no. of observation

• We have class interval of the data is  0-10 10-20 20-30 30-40 40-50
• We will find the class mark for given data which is calculated by sum of interval divided by 2
• Hence class mark will be 5,15,25,35,45 and denoted by

• We also have the frequency of the data which denoted by8,16,36,34,6

      The mean of the data is given by the formula

      $Mean=\sum\frac{f_ix_i}{f_i}\\Mean=\frac{5\times8+15\times16+25\times36+35\times34+45\times6}{8+16+36+34+6}$

• Simplify the above equaqtion

      $Mean=\frac{2640}{100} =26.4$

Thus, mean of the given data is 26.4

Meadian:

• The middle term of data when arrange in order is known as the median.

• Commutative frequency of data is given by

      CF=8,16+8,16+8+36,36+16+8+34,45+36+34+8+16

      CF=8,24,60,94,100

• Median is given by the formula

      $Median=l+\frac{\frac{n}{2} -cf}{f} \times h$

• We have n=100,cf=24,f=36,l=20 put in above equation

      $Median=20+\frac{\frac{100}{2} -24}{36} \times 10\\\\Medain=20+\frac{260}{36}$

• Simplify the above equation
• $Median=\frac{720+260}{36} \\Median=27.22$

Hence, the median of the data is 27.22

Answer 2

Answer:

27.22 median

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