Find the missing frequency of the mean of the data is $154$
Classes $120 - 130$ $130 - 140$ $140 - 150$ $150 - 160$ $160 - 170$ $170 - 180$
Frequency $2$ $8$ $12$ $f$ $8$ $7$

Open in App

Solution

$x_{i} = 125, 135, 145, 155, 165, 175 \sum f_{i} = 2 + 8 + 12 + f + 8 + 7 = 37 + f \sum x_{i} f_{i} = 250 + 1080 + 1740 + 155 f + 1320 + 1225 = 5615 + 155 f ¯ x = \frac{5615 + 155 f}{37 + f} = 154 5615 + 155 f = 154 f + 5698 f = 5698 - 5615 = 83$

Suggest Corrections

Similar questions

\begin{matrix} H e i g h t (i n c m) & 100 - 110 & 110 - 120 & 120 - 130 & 130 - 140 & 140 - 150 & 150 - 160 & 160 - 170 & 170 - 180 N o . o f g o a l s s c o r e d & 8 & 10 & 15 & 9 & 12 & 14 & 13 & 10 \end{matrix}

(c m)

50

X

If the median of the following data is 166.79, then the mean and mode are

Height in cm	120-130	130-140	140-150	150-160	160-170	Total
Number of girls	2	8	12	20	8	50

Join BYJU'S Learning Program

Classes	$120 - 130$	$130 - 140$	$140 - 150$	$150 - 160$	$160 - 170$	$170 - 180$
Frequency	$2$	$8$	$12$	$f$	$8$	$7$