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 […]
statistics
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,
The following table gives the heights (in cm) of a group of 55 students in a class. Read More »
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
For the following distribution, calculate mean using all suitable methods: Read More »
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
Find the mean of the following frequency distribution: Read More »
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
Q) The length of 40 leaves of a plant are measured correct to nearest millimetre, and the data obtained is represented in the following table: Find the mean length of the leaves. Ans: Let’s re-arrange the data with midpoint of each class, frequency, and multiply midpoint with frequency: We know that, mean value of grouped data
Q) The monthly expenditure on milk in 200 families of a Housing Society is given below: Find the value of x and also, find the median and mean expenditure on milk. Ans: (i) Value of x: Let’s re-organize the data in the frequency table and calculate the value of x: By summing up the families,
The monthly expenditure on milk in 200 families of a Housing Society is given below: Read More »
Q) The mode of the following frequency distribution is 55. Find the missing frequencies ‘a’ and ‘b’. Ans: Since we know that, the modal class is the class with the highest frequency. In the given data, class “45 – 60” has the highest frequency of 15. Hence, class “45 – 60” is the modal class. Now
Q) A student noted the number of cars passing through a spot on a road for 100 periods each of 3 minutes and summarised it in the table given below. Find the mean and median of the following data: Ans: (i) Let’s re-arrange the data with midpoint of each class, frequency, and multiply midpoint with