Q22 of 145 Page 410

The median and mode of a frequency distribution are 26 and 29 respectively. Then, the mean is

Given: median = 26 and mode = 29


By empirical formula,


mode = (3 × median) – (2 × mean)


⇒ 2 × mean = (3 × median) – mode


⇒ 2 × mean = (3 × 26) – 29


⇒ 2 × mean = 78 – 29


⇒ 2 × mean = 49


⇒ mean = 49/2 = 24.5

More from this chapter

All 145 →
20

Consider the following table:



















Class interval



10 - 14



14 - 18



18 - 22



22 - 26



26 - 30



Frequency



5



11



16



25



19



The mode of the above data is

 21

The mean and mode of a frequency distribution are 28 and 16 respectively. The median is

 23

For a symmetrical frequency distribution, we have

 24

Look at the cumulative frequency distribution table given below:































Monthly income



Number of families



More than Rs. 10000



100



More than Rs. 14000



85



More than Rs. 18000



69



More than Rs.20000



50



More than Rs. 25000



37



More than Rs. 30000



15



Number of families having income range 20000 to 25000 is