To find the mean, add up all the numbers and divide by the number of numbers • To find the median, following frequency distribution was obtained
Example 2 15 Find the mean deviation from the A M for the following distribution Class interval 10–20 20–30 30–40 40–50 50–60 Frequency
Example: The following table gives the frequency distribution of the number of orders received each day during the past 50 days at the office of a mail-order
The following frequency distribution of marks has mean 4 5 (a) Calculate an estimate for the standard deviation of the lengths of the fish
Long Answer Type Example 5 Calculate mean, variation and standard deviation of the following frequency distribution: Classes Frequency
The mean for grouped data is obtained from the following formula: Given the following frequency distribution, calculate the arithmetic mean Marks : 64
n = total frequency c = width of the class interval Example 2 Given the following frequency distribution, calculate the arithmetic mean
Find the class width: Determine the range of the data and divide this by the Make a frequency distribution for the following data, using 5 classes:
condensation of data set into a frequency distribution and visual presentation are Calculate the arithmetic mean for the following data given below:
For finding the mean of grouped data di's are deviations from a of (A) Lower limits of the classes Consider the following frequency distribution:
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107175_3NCERT_Exemplar_Solution_for_Class_10_Maths_Chapter_13_Statistics_and_Probability.pdf NCERT Exemplar Solutions For Class 10 Maths Chapter 13-
Statistics and Probability
Exercise 13.1 Page No: 157
Choose the correct answer from the given four options:
1. In the formula
For finding the mean of grouped data dis are deviations from a of (A) Lower limits of the classes (B) Upper limits of the classes (C) Mid points of the classes (D) Frequencies of the class marks
Solution:
(C) Mid points of the classes
Explanation:
We know,
di = xi a
Where,
xi are data and a is the assumed mean So, di are the deviations from of mid - points of the classes.
Hence, the option (C) is correct
2. While computing mean of grouped data, we assume that the frequencies are
(A) Evenly distributed over all the classes (B) Centred at the class marks of the classes (C) Centred at the upper limits of the classes (D) Centred at the lower limits of the classes
Solution:
(B) Centered at the class marks of the classes
Explanation:
In computing the mean of grouped data, the frequencies are centered at the class marks of the classes.
Hence, the option (B) is correct
3. If xi the class intervals of grouped data, fi
frequencies and x is the mean, then is equal to (A) 0 (B) 1 (C) 1 (D) 2
Solution:
(A) 0
Explanation:
Mean (x) = Sum of all the observations/ Number of observations x = (f1x1 + f2x2 fnxn) / f1 + f2 +......+ fn
ȈȈȈ
Ȉ Ȉ NCERT Exemplar Solutions For Class 10 Maths Chapter 13-
Statistics and Probability
Ȉ- x) = (f1x1 - x) + (f2x2 - - x)
Ȉ- x) = (f1x1 + f2x2 - (x +x +....n times)