Finding mode for Grouped Data when class intervals are givenÂ

Q.

What do you call the class interval with the highest frequency?

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Q. Find the mode of 2, 14, 16, 12, 14, 14, 16, 14, 10, 14, 18, 14. [1 MARK]

Q.

Calculate mode of the following by using empirical formula.

$x$	$18$	$20$	$25$	$30$	$34$	$38$	$40$
$f$	$6$	$7$	$3$	$7$	$7$	$5$	$5$

Q.

Question 5
The given distribution shows the number of runs scored by some top batsmen of the world in one-day international cricket matches.

$\begin{array}{cc}\text{Runs scored}& Numberofbatsmen\\ 3000-4000& 4\\ 4000-5000& 18\\ 5000-6000& 9\\ 6000-7000& 7\\ 7000-8000& 6\\ 8000-9000& 3\\ 9000-10000& 1\\ 10000-11000& 1\end{array}$

Find the mode of the data.

Q.

The following data shows monthly savings of 100 families . Find the difference of modal and mean monthly savings lies between.

$$\begin{array}{cc}\text{Monthly savings(Rs)}& \text{Number families}\\ 1000-2000& 14\\ 2000-3000& 15\\ 3000-4000& 21\\ 4000-5000& 27\\ 5000-6000& 25\end{array}$$

1. 700-800

2. 900-1000

3. 800 - 900

4. 600-700

Q. The following data gives the information on the observed lifetime (in hours) of 225 electrical components:

$\begin{array}{ccccccc}Lifetime\left(inhours\right)& 0-20& 20-40& 40-60& 60-80& 80-100& 100-120\\ Numberofcomponents& 10& 35& 52& 61& 38& 29\end{array}$

Determine the modal lifetimes of the components.

1. 65.69
2. 66.21
3. 60.02
4. 65.62

Q.

Find the mode of the following data.

$$\begin{array}{cccccc}\text{Class interval}& 0-100& 100-200& 200-300& 300-400& 400-500\\ \text{Frequency}& 7& 11& 15& 9& 8\end{array}$$

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Q.

Find the mode of the following data. $$\begin{array}{cccccc}\text{Class interval}& 0-10& 10-20& 20-30& 30-40& 40-50\\ \text{Frequency}& 7& 13& 14& 5& 11\end{array}$$

1. 25
2. 20
3. 30
4. 21

Q.

The modal class of the given data is

$$\begin{array}{cc}Class& Frequency\\ 0-5& 200\\ 5-10& 250\\ 10-15& 225\\ 15-20& 300\\ 20-25& 275\end{array}$$

1. 15 -20

2. 5-10

3. 10-15

4. 0-5

Q. The following is the formula for finding the mode of grouped data. State what p and q are.
$Mode=p+\frac{q-f_0}{(q-f_0)+(q-f_2)}\times h$

1. p = l, middle value of modal class; $q=f_1$, frequency of modal class
2. p = l, size of class interval; $q=f_1$, frequency of modal class
3. p = l, slope; $q=f_1$, frequency of lower class
4. p = l, lower limit of modal class; $q=f_1$, frequency of modal class

Q.

The h in the formula

Mode=I+$\left(\frac{f_1-f_0}{2f_1-f_0-f_2}\right)$$\times$h

stands for class width.

1. True

2. False

Q.

Which of the following expressions is used to determine the mode?

1. l + () h

2. 1 + () h

3. 

4. 1 + () h

Q.

A survey was conducted on 20 families in a locality by a group of students .What will be the mode of the data?

$$\begin{array}{cccccc}\text{Age of family member}& 0-20& 20-40& 40-60& 60-80& 80-100\\ \text{Number of students}& 7& 8& 2& 2& 1\end{array}$$

1. 21.85

2. 23.87

3. 24.87

4. 22.86

Q.

Find the mode of the given data.

$$\begin{array}{cc}Class& Frequency\\ 0-5& 200\\ 5-10& 250\\ 10-15& 225\\ 15-20& 300\\ 20-25& 275\end{array}$$

1. 18.75
2. 19
3. 18.5
4. 18.25

Q.

The class interval size and frequency of the modal class is

$$\begin{array}{cc}Class& Frequency\\ 0-5& 200\\ 5-10& 250\\ 10-15& 225\\ 15-20& 300\\ 20-25& 275\end{array}$$

1. 5 , 250
2. 5, 300
3. 4, 250
4. 4, 200