Some people of society decreased with area with flags and tricolour ribbons on Republic day. the following data shown the number of person in different age group who participated in the decoration.
Age (in years) $5 - 15$ $15 - 25$ $25 - 35$ $35 - 45$ $45 - 55$ $55 - 65$
Number of patients $6$ $11$ $21$ $23$ $14$ $5$

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Solution

$h = 10, f_{1} = 23, f_{0} = 21, f_{2} = 14, l = 35$
Mode $= l + (\frac{f_{1} - f_{0}}{2 f_{1} - f_{0} - f_{2}}) \times h$
Mode $= 35 + \frac{23 - 21}{46 + 35} \times 10 = 35 + \frac{20}{11} = 35 + 1.8 = 36.8$
National integrity, Unity, Beauty.

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Similar questions

Age (in years)	$5 - 15$	$15 - 25$	$25 - 35$	$35 - 45$	$45 - 55$	$55 - 65$
No. of patients	$6$	$11$	$21$	$23$	$14$	$5$

Age (in years)	$5 - 15$	$15 - 25$	$25 - 35$	$35 - 45$	$45 - 55$	$55 - 65$
Number of patients	$6$	$11$	$21$	$23$	$14$	$5$

The following table shows the ages of the patients admitted in a hospital during a year:

age (in years)	5 − 15	15 − 25	25 − 35	35 − 45	45 − 55	55 − 65
Number of patients	6	11	21	23	14	5

Find the mode and the mean of the data given above. Compare and interpret the two measures of central tendency.

Age (in years):	5−15	15−25	25−35	35−45	45−55	55−65
Number of patients:	6	11	21	23	14	5

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