statistics

Q) The following table gives the distribution of the life time of 400 neon lamps. Find the median lifetime of a lamp. Ans: Let’s re-organize the data in the frequency table to find out each part: To find the median, we need to identify middle value of the data. Let’s rearrange the data: First, we […]

Q) Find the mode of the following frequency distribution: Ans: Since the modal class is the class with the highest frequency. In the given question, class “40 – 50” has 17 frequency which is the highest frequency among all other classes. Hence, modal class is “40 – 50”. Now mode of the grouped data is calculated

Q) For what value of x, is the median of the following frequency distribution 34.5 ? Ans: Let’s re-organize the data in the frequency table to find out each part: To find the median, we need to identify middle value of the data. Let’s rearrange the data: First, we need to find the cumulative frequency

Q) Following is the daily expenditure on lunch by 30 employees of a company: Find the mean daily expenditure of the employees. Ans: We can solve this question by 2 methods: (you can choose any one method whichever you like): I. Direct Method: let’s re-arrange the data with midpoint of each class, frequency, and multiply midpoint

Q) In a hospital the ages of diabetic patients were recorded as follows. Find the median age. Ans: Let’s re-organize the data in the frequency table to find out each part: To find the median, we need to identify middle value of the data. Let’s rearrange the data: First, we need to find the cumulative

Q) The following table gives the heights (in cm) of a group of 55 students in a class. Compute the modal height and interpret the result. Ans: Since the modal class is the class with the highest frequency. In the given question, class “146 – 148” has 12 students (i.e. highest frequency of 12). Hence,

Q) For the following distribution, calculate mean using all suitable methods: Ans: 1. Direct Method To calculate Mean value of the distribution, Let’s re-arrange the data with midpoint of each class, frequency, and multiply midpoint with frequency: We know that, mean of grouped data is given by: Mean of grouped data = Therefore, Mean = = 13.25

Q) Find the mean of the following frequency distribution: Ans: To calculate Mean value of the distribution, Let’s re-arrange the data with midpoint of each class, frequency, and multiply midpoint with frequency: We know that, mean of grouped data is given by: Mean of grouped data = Therefore, Mean = = 36.857 Hence, the mean value of

Q) Find the mean of the following distribution: Ans: To calculate Mean value of the distribution, Let’s re-arrange the data with midpoint of each class, frequency, and multiply midpoint with frequency: We know that, mean of grouped data is given by: Mean of grouped data = Therefore, Mean = = 41.1 Hence, the mean value of the

Q) The median of the following data is 50. Find the values of ‘p” and ‘q’, if the sum of all frequencies is 90. Also find the mode of the data. Ans:  Let’s re-organize the data in the frequency table and calculate the values: The sum of all frequencies, By summing up the families, we