An agency has decided to install customised playground equipments at various colony parks. For that they decided to study the age-group of children playing in a park of the particular colony. The classification of children according to their ages, playing in a park is shown in the following table

Based on the above information, answer the following questions.
(i) The maximum number of children are of the age-group

(ii) The lower limit of the modal class is

(iii) Frequency of the class succeeding the modal class is

(iv) The mode of the ages of children playing in the park is

(v) If mean and mode of the ages of children playing in the park are same, then median will be equal to

On a particular day, National Highway Authority ofIndia (NHAI) checked the toll tax collection of a particular toll plaza in Rajasthan.

The following table shows the toll tax paid by drivers and the number of vehicles on that particular day.

Based on the above information, answer the following questions.
(i) If A is taken as assumed mean, then the possible value of A is

(ii) If x_i's denotes the class marks and f_i's denotes the deviation of assumed mean (A) from x_i's, then the minimum value of |d_i| is

(iii) The mean of toll tax received. by NHAI by assumed mean method is

(iv) The mean of toll tax received by NHAI by direct method is

(v) The average toll tax received by NHAI in a day, from that particular toll plaza, is

Transport department of a city wants to buy some Electric buses for the city. For which they wants to analyse the distance travelled by existing public transport buses in a day.

The following data shows the distance travelled by 60 existing public transport buses in a day.

Based on the above information, answer the following questions.
(i) The upper limit of a class and lower limit of its succeeding class is differ by

(ii) The median class is

(iii) The cumulative frequency of the class preceding the median class is

(iv) The median of the distance travelled is

(v) If the mode of the distance travelled is 223.78 km, then mean of the distance travelled by the bus is

An electric scooter manufacturing company wants to declare the mileage of their electric scooters. For this, they recorded the mileage (km/ charge) of 50 scooters of the same model. Details of which are given in the following table.

Based on the above information, answer the following questions.
(i) The average mileage is

(ii) The modal value of the given data is

(ill) The median value of the given data is

(iv) Assumed mean method is useful in determining the

(v) The manufacturer can claim that the mileage for his scooter is

Household income in India was drastically impacted due to the COVID-19 loekdown. Most of the companies decided to bring down the salaries of the employees by 50%.
The following table shows the salaries (in percent) received by 25 employees during loekdown.

Based on the above information, answer the following questions.
(i) Total number of persons whose salary is reduced by more than 30%, is

(ii) Total number of persons whose salary is reduced by atmost 40%, is

(iii) The modal class is

(iv) The median class of the given data is

(v) The empirical relationship between mean, median and mode is